JP2002169952A - Method and apparatus for calculating unit cost of nonlinear phenomenon - Google Patents

Abstract

PROBLEM TO BE SOLVED: To achieve a model building of company activities and economic activities by integrating an active mass value and money value by overcoming such a problem that the unit cost and total sum cannot be followed as non- linearity becomes a bottleneck regardless of the progress of computer utilization with respect to industrial social site active mass. SOLUTION: There is generated the inner product of a cause-effect numeric matrix, which explains the cause-effect of respective elements of the supply side and demand side by a specific number, and a demand vector. A supply active mass is obtained, and an inner product of a supply unit cost is operated to obtain a demand unit cost. Furthermore, it is applied to a looping effect and network-shaped chain, etc., to calculate the supply active mass. By constituting an information processing apparatus for obtaining the total amount and total sum from a given supply unit cost and product between the elements of a given demand active mass and an obtained demand unit cost, the model executive system keeping consistency with fineness capable of obtaining the active mass, the unit cost and the total amount at an arbitrary cross section of the activities is achieved, thereby overcoming the bottleneck.

Description

DETAILED DESCRIPTION OF THE INVENTION

[0001]

[Industrial applications] The major challenge facing humankind in the 21st century is how to build a sustainable society and economy. For this purpose, the environment, resources, energy, A method of constructing an effective model that exceeds the understanding span is desired. In many cases, these diverse and multi-element activities that show human behavior are not always expressed in monetary value. It needs to be converted and linked to a strong common measure, monetary value. For this purpose, it is desired to provide a mechanism that minutely represents a monetary value per activity amount, that is, a total amount that is a product of a unit cost, an activity amount, and a unit cost. Until now, however, the mechanism for expressing unit costs has been to consist of a portion proportional to the amount of activity (proportional cost) and a fixed portion (fixed cost) that occurs when no activity occurs (zero). However, pursuing a sustainable society / economy, which is a modern issue, is related to pursuing the marginal area of activity.In many cases, unit cost is nonlinear with respect to activity. As a result, the model error was large and hindered the reliability and practicality of the model. SUMMARY OF THE INVENTION The present invention is to provide a unit cost which is non-linear with respect to an activity amount for this field. This makes it possible to construct detailed models such as a national model, a world model, and an ecological model in a company. In addition, the present invention obtains a unit cost and then a total amount that is a product of the unit costs in the calculation of the activity amount, including the case where the relationship between the activity amounts on the consumer side and the input side is non-linear, from the viewpoint of management technology. The present invention relates to a method, and relates to an information processing apparatus used for calculation and planning and evaluation of business management results, and planning and evaluation in the social and economic fields.

[0002]

2. Description of the Related Art There are various non-linear relationships between demand activity and supply activity. A simple example is shown in FIG.
FIG. The example in the upper row is the demand activity amount of product A, product B,
This is an example in which a non-linear causal relationship is grasped between the production amount Xa, the production amount Xb, the production amount Xc of the product C, and the assembly operation time Wa and the machine operation time Wm as the processing operations as the supply activities. FIG. The middle example is a case where the quantity related to material input is represented by a specific demand item product. FIG. The lower row is an example in which supply is determined by indirect variables that are not directly related to demand and supply, and these are explanatory variables in which the dependent activity, the supply activity, exhibits a non-linear behavior, for example, the demand activity Alternatively, the relationship is represented by an indirect influence variable. Conventionally, even if the nonlinear relationship is grasped in the working division or in science and engineering or social engineering, it is impossible to precisely calculate the monetary value such as cost and total value. Inevitably, a system to directly reflect the non-linear relationship in the unit cost had to be avoided. (Figure 1. Examples of various non-linear causal relationships)
reference)

For this reason, in calculating unit costs, the following means based on the arbitrariness of the person in charge have been unavoidably adopted. The total supply is calculated by calculating the product sum of the various supply activity amounts and the corresponding supply unit costs. Select a representative item of demand activity amount, set an equivalent coefficient (also referred to as a weighting coefficient) for each type as a reference item, and calculate an equivalent count for other types of demand activity amount that do not exist in parallel with the reference. To change to a uniform evaluation amount centered on the reference item. The total supply is divided by the sum of the valuation amounts obtained in the above to calculate the unit cost of the standard and the item. By multiplying the unit cost of this standard item by various equivalent counts set in the above, each demand activity amount unit cost is obtained.

In a phenomenon in which a plurality of non-linear causal relationships are successively linked in a multistage manner (including a case where there is a linear causal relationship),
When the work completion degree at the corresponding stage for all stages is arbitrarily evaluated, a weighting factor (equivalent to the process-specific equivalent count for process work, etc.) is set, and all incurred costs are allocated to each stage using the weighting factor. Calculate the unit cost of a specific item in a specific stage (process) using two types of equivalent counts, one for each type and one for each stage.

Means for rationally calculating the cost contribution of a plurality of demanded activity amounts to a supply activity amount, particularly when there is some relationship in which a plurality of demand activity amounts are related and individual supply activity amounts can be calculated. Has not existed and is too complicated, and has been conducting costing based solely on personal logic. For this reason, the world of activity, unit cost and total value cannot be organically combined, and in corporate activities, the world of financial function and the activity volume of products and services formed around the world of monetary value Prevents detailed integration with the core business division. In addition, monetary value, physical quantity, and service value are not well linked to modeling of economic, social, environmental, etc. issues, and it is considered that satellite accounts link these.・ Model formation is at a standstill. In many cases, the dependent variable in the basic part of the model is composed of explanatory variables that exhibit nonlinear behavior, and therefore, the relationship between total activity and unit costs and total values must be consistent. It is in a situation where it cannot be piled up or logically broken down.

[0006]

[Problems to be solved by the invention] Originally, in modeling economic and social activities such as production activities and service activities,
When dealing with the activity amount cost, it is common to show a non-linear characteristic, and it is rather rare to show a linear characteristic. Here, in fields such as simple non-linear relations and non-linear relations with complicated multivariables, the theoretical pursuit is neglected, and it is necessary to focus on expressions based on the mechanism of incurred costs. Even in recent environmental problems, many generating mechanisms and their costs, or processing methods and costs, are easy to understand, and expression means that eliminates arbitrariness as much as possible has been required for a long time.
Non-linearity barriers are preventing this, and one of the issues is to support this requirement with the present invention.

[0007] Despite the fact that a precise relationship is grasped even in the case of a nonlinear phenomenon, this is linearized as "fixed cost + proportional cost" over the entire range, and the conventional typical representative product composition A method of calculating by setting the equivalent number of varieties to the pattern with a temporary interpretation, or giving up the structural expression of complicated incurred costs, treating it as a common incurred cost as a whole, and allowing the person in charge to make arbitrary interpretations The actual situation is that a simple equivalence index is set based on this and allocated. That is, a reasonable and consistent unit cost of each item of demand activity has not been realized. Makes no positive sense due to model imperfections. For this reason,
The reliability of management information cannot be improved, and it is difficult to dig into the source of costs from the cost structure to pursue detailed factors. The challenge is how to construct a planning and management system that is as arbitrarily as possible.

[0008] In the case of non-linear phenomena, the equivalence number set on the basis of the distribution pattern of a specific demand activity amount often does not make sense if the distribution pattern and amount of the varieties fluctuate. Recognizing and resetting the distortion every time is cumbersome and confusing, which is not practical.
Moreover, applying this method to a variable activity amount with a phenomenon having non-linear characteristics causes a large difference from the actual one, and imperfect model expression leads to the calculation of the total amount, causing a total amount difference and a cost difference, In other words, they are forced to pursue the cause of the so-called model difference and follow up the correction. The issue is how to calculate the unit cost that can be used for planning without being forced to correct the difference in variety.

In particular, even when a plurality of demand activity amounts are given at the same time, a specific supply activity amount is determined, and even if this relationship can be expressed by a clear nonlinear expression (including a conditional expression), Avoiding a detailed analysis of the case, the determination of uniformly logical unit costs has been considered intractable and has relied on the allocation of arbitrary amounts by arbitrary logic. Despite the fact that causal relationships have been elucidated through approaches such as science and engineering, economics, management engineering, and social engineering,
There are many events that have to give up a reasonable connection to monetary value because of non-linear relationships. In order to overcome this situation, logical unit costs are calculated, rational cost differences, cost sources are pursued, and unit cost calculation methods that can be used for planning are made possible. The challenge is to build a management system that is consistent with the above.

[0010] Further, a supply activity amount having a non-linear relationship in which a related demand activity amount is used as an index, or an index obtained by combining these indices as a multivariable, is calculated, a cost is given thereto, and a unit price of the demand demand activity amount is calculated. You may want to calculate it reasonably, but it has not been solved in a general way. For example, in some cases, demand labor is distributed to the supply side, and in this case,
Different unit prices are provided for each supply side, and there are cases where it is necessary to calculate the unit price of the demand labor amount.Furthermore, this relationship is based on the problem that the rational allocation and the unit price calculation method when the organizational structure is complicated has not yet started It is.

[0011] Even when the demand-side quantity is determined by the supply-side quantity due to a chemical reaction event or the like exhibiting non-linear characteristics including multiple factors, if the quantitative relationship can be grasped, the unit cost and therefore the total cost The challenge is to be able to calculate rationally.

[0012] Even when the supply activity is represented as a nonlinear event of the demand activity, or conversely, the demand activity is represented as a nonlinear event of the supply activity, the supply activity =
Even when the demand activity amount forms a loop, it is a problem that not only the activity amount but also the unit cost and thus the total amount can be calculated rationally.

In a process in which the amount of activity is input along the flow, if there is a process that includes a large nonlinear phenomenon, the difference between the estimated cost and the result calculated by the conventional calculation method in the actual calculation is large. In many cases, it is judged that they do not reflect reality, and a special processing process of recalculating and recalculating based on new setting work with the intervention of specialists is required, and consistent cost calculation processing by computer Not only does it hinder the smooth operation of cost planning to realize the near-term plan orientation. Although management accounting has been called since the advent of computers, it does not reflect the substance at the site, but the results of cost accounting are considered to be institutional, and we should try to comprehensively reduce costs from the results of cost accounting. Instead, we are pursuing results from the perspective of how cost-reduction activities based on current business ideas affect the calculation results, and giving up on the direction of comprehensively reducing costs based on highly accurate cost calculation results. Yes, it is an issue to eliminate this.

In a long manufacturing process of producing many kinds, it is quite usual to allocate the transfer unit cost relating to the processing cost of the semi-finished product to which the process is to be transferred to the overall monetary consumption value by setting the equivalent ratio of the process. It has been done. This has been said to be ineffective because processing costs have nonlinear characteristics such as learning effects and energy consumption. However, if there is an up-and-down flow in the process, incorporating the input value in the lower process into the cost of the upper process cannot be said to be correct in nature. In particular, when there is a multi-product process having a non-linear characteristic upstream, the irrationality of unit costs after this process is remarkable, and it is a problem to solve this.

Usually, the calculation of the activity amount, the calculation of the unit cost and the calculation of the total amount are performed by another specialized organization (the setting of the equivalent count is often delegated to the cost manager), and the activity amount is calculated. The challenge is to fulfill the demands of corporate management to unify planning and management while maintaining consistency between the three units, unit cost and total cost, while maintaining mutual consistency.

[0016]

SUMMARY OF THE INVENTION In order to solve these problems, the present invention relates to an activity including a nonlinear phenomenon.
Achieving a new plan and management by realizing a consistent trinity model of activity amount, unit cost, and total cost. If it is possible to clarify the causal relationship between demand activity and supply activity, which are direct influence variables even for nonlinear phenomena, or if the indirect influence variables other than the two parties can be clarified, the causal relationship is used. Provides a method to calculate the demand unit cost for the supply unit cost, and when there is a multi-stage causal relationship such as the process flow, the individual characteristics can be grasped and whether the characteristics are linear or non-linear Regardless, it provides a method and mechanism that can handle the model of the amount of activity and the model of its unit cost in the same domain. For this purpose, when each of the explained variables is represented by a nonlinear expression of the explanatory variable, the explained variable vector is regarded as an inner product of a matrix including the explanatory variables (referred to as an explanatory variable matrix) and the explanatory variable vector. , The local values are substituted into the explanatory variable matrix to form an explanatory variable matrix with numerical values (referred to as numerical normalization) or transformed into its general inverse matrix, and the activity amount, unit cost, and the total amount as the product (the Trinity relation) ), And these matrices can be used to calculate the value of the trinity of events that form a complex chain or form a loop.

As a principle preceding the present invention, the following relationship is established between the activity amount, the unit cost, and the total amount in a broad sense.
(Refer to Fig. 2. Relationship between total cost, unit cost and activity amount)
In general, when the inner product of the unit cost lateral vector Su consisting of _n unit costs Su ₁ ,,, and Su and the activity amount vertical vector Sq consisting of _n activity amounts Sq ₁ ,,, Sq _n , the total amount is obtained as a scalar value. (See FIG. 2. Equation (1)). As an example, Sq is material amount, Su
Figure 2 shows the case where the total material cost is considered as the material cost unit price. Equation (2) shows. (Hereinafter, boldface characters represent vectors or matrices.) Here, if one of the two vectors is transposed to align the vector directions and take the arithmetic product of the elements, Su
₁ · Sq ₁ ,,,,, Su _n · Sq _n is obtained as a total vector composed of n elements (see FIG. 2. Equation (3)). FIG.
Even if the arrangement of the unit cost Su and the activity amount Sq is switched as shown in the equation (4), the generality thereafter is not lost. These activities are considered to have a causal relationship at the previous stage, and given in a causal relationship with the amount of activity (for example, if there is a production process that responds to demand with materials as the previous stage) , Where the activity of the previous stage is m elements: Dq ₁ ,,,
_A demand activity vertical vector Dq consisting of _m and n elements:
A causal matrix (supply activity to demand activity ratio matrix) of n rows and m columns linking the causal relationship with the demand activity at the subsequent stage of the supply activity vertical vector Sq composed of Sq ₁ ,,,, Sq _n : M ( Considering, for example, a material billing matrix or a reciprocal matrix of yield), the relationship is shown in FIG. It can be expressed as in equation (5). (Refer to Fig. 3. Relationships related to calculating supply activity from demand activity.) Here, substituting (5) into equation (1) will result in Fig. 3. As shown in Expression (6), a relational expression of the total amount Ta (scalar value) can be expressed. Assuming that the front group and the rear group are divided with the causal matrix of this relational expression interposed therebetween, the rear group already represents the amount of supply activity as given by equation (5), and the front group is represented by equation (7). Thereby, the demand unit cost of the demand activity can be calculated. In addition, the equation (8) has a relationship in which the total amount on the supply side and the total amount on the demand side can be maintained in principle.

So far, an example has been considered in which the supply activity vector is obtained as the product of the causal matrix having the ratio of the supply activity to the demand activity and the demand activity vector. In some cases, the demand activity amount vector is determined as the product of the causal matrix having the amount-to-supply activity amount ratio as an element. In this case, if the general inverse matrix of the demand activity amount to the supply activity amount matrix, that is, the supply activity amount to the demand activity amount ratio matrix is used as a causal matrix and the inner product of the supply unit cost vector is obtained, the following equation (7) is obtained. The demand unit cost vector can be calculated. (Refer to Fig. 4. Relationship between supply-side activity and demand-side activity and equations (9), (10), and (11))

The supply activity vector is represented by an inner product of a causal matrix having the supply activity to demand activity ratio as an element and the demand activity vector, or the demand activity vector represents the demand activity to supply activity ratio. If the obtained supply activity vector is represented by a causal matrix as an element and the obtained supply activity vector becomes the demand activity vector, or if the obtained demand activity vector forms a loop that becomes the supply activity vector, the supply unit cost vector And FIG. A convergence causal matrix based on the convergence relation of the loop by the equation (12) is obtained and inner product,
The demand unit cost vector can be calculated. (Refer to Fig. 5. Causal relationship forms a loop.)

In the present invention, first, the relationship between the demand activity vector and the supply activity vector is considered as one unit, and the phenomenon is described as a basic method of constructing a causal numerical matrix composed of nonlinear elements with respect to the nonlinear relationship. Classify into the following three practical forms, solve them individually, and combine them to deal with the phenomenon of units.

Form 1 A method is adopted in which the elements of the causal matrix M are constructed as a nonlinear relationship in which one demand activity amount element is directly affected. (See claim 2)

Form 2 When the elements of the supply activity amount include a non-linear relationship represented by several demand activity amount elements, these demand activity amount elements contribute to the supply relationship in a shared manner. Must be separated into related elements. For this reason, logic for determining the contribution ratio is necessary, and this method is to construct a causal value matrix M by apportioning the amount of contribution between elements of the demand activity amount that influences the causal relationship. (See claim 3)

Form 3 The elements of the causal matrix M do not have a direct expression (direct influence variable) relationship with the demand activity amount, but are expressed by a non-linear relationship with another influence amount (indirect influence variable). (See Claim 4)

Depending on the variety of ways in which these nonlinear functions are given, different solutions are required, and the process of calculating the causal numerical value matrix will be described for the above-mentioned forms.

In the case of mode 1 In this case, the elements of the explained variable vector: VSqs ₁ ,,, VSq
It s _n, as shown in FIG. 8. Equation (17) is transformed into equation (18) as shown in the following, and is expressed as a sum of nonlinear functions (including constant values) of one variable having elements of explanatory variable vectors: VDq ₁ ,,, VDq _m as variables. So that Next, if a constant value: VDq ₁ ,,, VDq _m is given to VDq ₁ ,,, VDq _m even if it is nonlinear,
These function values becomes all constant, the elements of the left side of the explanatory variable vectors: VSqs ₁ ,,, VSqs _n are all constant values: VSqs ₁ ,,, VSqs _n
Is calculated as (See Fig. 8. Form 1: Calculation of causal matrix corresponding to nonlinear one-variable function)

In the second embodiment , the multivariable nonlinear causal relation is expressed as follows. One function having a plurality of variables (a plurality of subdivided functions) is calculated for one supply activity amount as shown in equation (19) of FIG. (Even if it can be decomposed into a relational expression, it is added and handled as one relational expression). In order to form the inner product of the matrix and the vector shown in Expression (20), the element of each explanatory variable In order to give the contribution of the causal relationship retroactively to the elements of the explanatory variable vector, each element of the causal matrix is multiplied by the apportionment coefficient due to the constraint of Condition 1 (Equation (21)) and Condition 2 (Equation (22)). There is a need. In this way, the unit cost of the supply activity can be related to the demand activity. The determination of the apportionment coefficient according to the present invention is based on the method of setting the contribution ratio numerical value by the operator, and calculating the apportionment coefficient for each explanatory variable, and calculating the ratio k _i of the apportionment coefficient for each individual explanatory variable to its sum. There is a method of setting _j to the contribution ratio.
The latter is shown in FIG. It can be calculated by equation (23), which is a method that locally considers the marginal contribution. (Figure 10. Form 2
(Refer to the establishment of a causal matrix for the nonlinear multivariable function and the calculation of the distribution relation.)

Case of mode 3 FIG. The causal relationship (indirect influence variable) that is not directly related to the explanatory variable vector (here, the demand activity vector)
The principle is shown by a simple example in an example in which M3 is calculated according to the above, and the explained variable vector (here, the supply activity amount vector) is calculated. This means that if the adult members of Project: I and Project: II are to be contributed (contribution ratio) by the investment ratio of three companies with different average salaries, A, B, C, and up to the salary unit price of each project Is shown in the figure. In this case, the logic for determining the contribution ratio is composed of indirect influence variables that are not directly related to the explanatory variable vector (demand activity amount), but the concrete numerical values given in this logic are used to represent the elements of the causal numerical matrix. By using the causal value matrix, the explained variable vector (supply activity)
It is shown that the unit cost of the demand activity can be calculated by giving the unit cost corresponding to the explained variable (supply activity amount).
(See Fig. 3. Form 3 Example of establishing a causal numerical matrix for indirect multivariable nonlinear functions and calculating supply unit cost)

As described above, the explained variable vector has the form
A causal numerical value matrix is formed by any one of 1 , 2 , 3 or a combination thereof, and an explanatory variable vector
(Including direct or indirect explanatory variables) and maintain consistency in the form of inner product operation, as a causal matrix, its general inverse matrix, or as the root causal matrix of the loop phenomenon, Alternatively, the demand unit cost vector can be obtained by applying as a general inverse matrix to the inner product with the supply unit cost vector for the supply activity amount.

The relationship between the supply and the demand activity has a non-linear causal effect including the linearity, and the relationship between the supply and the demand activity unit cost is defined as one unit unit by the method of claim 1 to claim 6. If this holds, the relationship between a plurality of units including branches is represented by a block diagram between units as shown in FIG. ) If the connected relationship is established that the supply activity vector of the subsequent unit becomes the demand activity vector of the preceding unit as the flow of calculation of the activity amount between units, a complex state where the causal relationship is linked in multiple stages In this case, the relationship between the numerical values is sequentially connected so that the first-stage supply vector can be calculated.

Further, FIG. 11. (a) When the causal network of the amount of activity between units is reversed left and right, FIG.
It becomes a causal network of unit costs between units, and on this relationship, if we transpose the relationship between the unit cost and the inner product formula of the causal numeric matrix, we proceed from right to left to calculate, Starting from the supply activity unit cost vector, the terminal demand unit cost vector may be calculated. However, it is assumed that the causal numerical value matrix used in this flow uses the value calculated in the flow of the calculation of the activity amount between the units in FIG.
(Refer to Fig. 11. Calculation method when nonlinear causality is linked in multiple stages)

In the calculation of these chains, the order of calculation of the chained relations is as follows: while sequentially taking out the coefficient matrices in the causal expression stored in each stage, and performing the inner product in that order, an aggregated causal matrix is obtained. And the innermost supply unit cost vector to obtain the value of the final demand unit price vector. (Refer to Fig. 11. Calculation method when nonlinear causality is linked in multiple stages.)

In the case where a confluence or a branch point exists in a non-linear chain including such a linear shape, if the network is traced back by the causal relation of the activity amount, the confluence where the demands are gathered is an addition logic, and the causal cost of the unit cost is obtained. Can be transmitted by a simple transfer (see Figure 12. When the activity amount merges or branches between units (b) When the required activity volume branches), and when the activity volume goes back, the branch where the demand branches At each location, a branch ratio matrix is provided as one unit for each branch, and in the case of a unit cost result, a weighted sum of the unit costs is calculated using this matrix (FIG. 1).
2. When the activity amount merges or branches between units
(a) When the required activities are merged), the relationship between the activity and the unit cost in the network including the non-linear unit can be processed.

In the chain calculation, the causal numerical value matrix stored for each unit at each stage is sequentially taken out, and an inner product or addition is performed along the flow of the network, thereby obtaining an aggregated causal numerical value matrix. It is possible to know an intuitive effect on the included causal relationship.

At the stage of each unit, the total amount is calculated by the arithmetic product of the elements of the supply amount vector and the corresponding supply unit price vector. Similarly, the total amount is calculated by calculating the arithmetic product of the demand amount vector and the element unit of the demand unit price vector. Furthermore, these totals can be summed up in units of supply and demand, and a total sum can be obtained.

BEST MODE FOR CARRYING OUT THE INVENTION

The present invention aims at realizing the amount of activity, unit cost, and total amount as a single unit or as a part of an integrated system, and the arrangement and flow of the logical configuration in the implementation are schematically shown in FIG. . It was shown to. (Refer to Fig. 13. Main logic and flow of information processing.) For details of the implementation, the central processing unit holds the input information, the way and the calculation result in the external storage device while interacting with the display device with the keyboard. Are executed at the core, and will be described below with reference to the figures and the circled numbers on the figures.

An embodiment relating to individual units is shown in FIG.
Shown in (Refer to Fig. 14. Comprehensively the activity of the unit in the information processing unit, the unit cost, and the function of the integrated system in the non-linear polymorphism.) The main progress is shown below in the order of the circled letters in order of steps. (Hereafter, refer to the circled characters in Fig. 14.) The program of the activity / unit cost / integrated system is called on the display screen with a keyboard, and a one-step causal model is established that handles the events of a single unit related to supply and demand.・ Select the calculation. Next, on the variable / numerical value registration screen, the name of the unit involved in this event, its variable, and the numerical value of the assignment are registered. Here, the variables of the demand activity amount: Dq _{1 to} Dq _m (m
Variables), supply activity variables: Su _{1 to} Su ₂ (n), and indirect variables when an event is represented only by indirect variables not included in demand activity variables: I ₁ , I ₂ ,,, I Register _n . Now, depending on the form of the causal relational expression that is about to proceed to the registration work, form 0 , form 1 , form 2-1 , form 2-2 , form 2
Select one of the forms 3 .

When Form 0 is Selected Although the present invention relates to non-linear phenomena, linear phenomena are often included, so that the supply activity items in the linear causal coefficient matrix table are left Enter a numerical value on the table screen with the demand activity item as the top item.

When the process proceeds to the first mode, a screen for registering a non-linear format represented by only one variable is entered and registered. (See also Figure 15 for an example of how registration works for a one-variable nonlinear causal relationship in units.)

Form 2-1 is a case where the partial derivative is stably obtained in a multivariable causal relationship.
Register the non-linear equation, enter the screen for handling partial derivatives, and register.
(For details, see Fig. 16. Causal relationships of multivariable nonlinear forms in units and the function of registration for the distribution method based on partial differentiation.)

In the form 2-2, it is inappropriate to use the partial differential for the apportioning logic in a multivariable causal relationship (for example, in the case where it is near an extreme point or near an unstable condition).
If this mode is selected, a non-linear multivariable expression is registered, and a screen for handling the distribution element is entered and registered. (For details, see Fig. 17. Example of the function of registration for the causal relationship of the multivariable nonlinear form in the unit and the apportionment method based on the apportionment factor.)

When the mode 3 is selected, there may be a plurality of causal relationships of indirect multivariables (not demand activity variables) that determine one supply activity volume, and which of the supply activity volumes has a causal relationship exists. And multiply by the demand variable,
Register an indirect multivariable expression that relates the supply activity amount. (See Figure 18. Example of registration for causal relations of indirect multivariable nonlinear forms in units.)

With respect to the above-described expression of the causal relationship by form, completion of registration is confirmed for each supply activity item and each demand activity item. If not completed, return to and continue to completion.

(10) Registered variable values are input in the registration completed state, and calculation for each form, establishment and storage of a causal numerical value matrix, etc. are performed. (Refer to Figure 14. Area: Establishment of Causal Numerical Matrix for details.) (11) Calculate supply activity using the causal numeric matrix. (12) Calculate the unit cost of the demand activity using the unit cost of the supply activity. (13) Using the given demand activity unit and supply activity unit cost, the calculated supply activity unit and demand activity unit cost, multiply the corresponding elements together to calculate the total amount of each item, and further calculate the result. Add up the total cost.

(14) (15) (16) The result is displayed on the screen and the result is printed by display or print editing in response to a print request.

(17) If the causal relation is already registered on the initial screen, the calculation of the registered single unit is started.
Enter the screen for setting the numerical value of the demand activity amount vector, the numerical value of the unit cost vector of the supply activity, and the numerical value of the indirect variable, and set the changed numerical value. (18) These values are passed to the processing routine of “establishing a causal value matrix”. (See Figure 14. Box: Establish Causal Numeric Matrix for details.)

(19) Numerical values and formulas set for the above calculations, calculation results, numerical values for apportionment, partial differential expressions, partial differential values, causal numerical value matrices as intermediate values, and the like are stored in an external storage device. . This is to prepare for use in a chain.

A description will now be given of how to deal with the registration and change of the causal relational expression in each mode. Form 1 When registering / changing a non-linear expression using one variable (Fig. 14. Block: Registering / changing form 1 is explained in detail) Enter the screen to register / change a non-linear expression using one variable and select the position designation of the registered element For this purpose, items are selected one by one from the item name list of the row and column of the causal matrix. The causal relational expression registration screen displays the supply activity item name and demand activity item name selected in. The variable of the registration relational expression indicates that the character "X" is used instead of the demand activity item name as a variable name. It is. The formula for each element of the causal matrix is registered using the variable X. In using the formula, available symbols and functions to facilitate the registration process can be selected on the sub-screen. In addition to the parentheses and the four arithmetic operations, a frequently used calculation or a function such as an exponent, a logarithm, or a logical operation can be selected. Since the expression registered as the registration calculation expression for the element of the causal matrix is divided by the vertical axis identifier element, this is displayed. Depending on the presence or absence of the next registered element, proceed to element selection or to. List the registration status of the causal matrix of the one-variable nonlinear expression. When the registration of the necessary elements is completed, the process proceeds to the next step. (10) After registering the expressions of all necessary elements, save them.

In the case of registration / change of the form 2-1 multi-variable nonlinear expression (FIG. 14. Block: Detailed description of registration / change of the form 2-1) Enter a screen for registering / change a non-linear expression by multi-variable and register. Select the position specification of the element. Only one item is selected from the item name list of the row element of the causal matrix, and a plurality of items are selected from the item name list of the column element corresponding to the variable. The supply activity item name and multiple demand activity item names selected in the causal expression registration screen are displayed. For the variables of the registration expression, the characters "X1, X2,
,, Xn "(in this example, X1, X2). A selection screen of available symbols and functions is displayed on the sub-screen, from which a selection is made and a multivariable expression is registered. Enter the selection screen for the method of calculating the partial differential value for apportionment, and select whether to register using the partial differential equation or obtain it by numerical calculation. If the former is unstable or it is difficult to find the partial differential equation, select numerical calculation and select a delta value. When the registration of the partial differential equation is selected, candidate variables are displayed on the sub screen. While selecting variables to be used from the sub-screen, select available symbols and functions. Select from the sub-screen and register a partial differential equation. It is checked whether or not the method for obtaining the partial differential has been registered for all the variables in the variable formula, and the process is repeated until the process is completed. (10) Repeat until all supply activity items have been registered. (11) Multivariable registration formula, handling method of partial differentiation, and when using partial differentiation formula, display a list of registration information of the partial differentiation formula, check the registration status, and repeat until completion. (12) When completed, store these as information on the causal matrix.

Form 2-2 In the case of registering / changing a multivariable nonlinear expression (FIG. 14. Detailed description of the registration / change work of the form 2-2) A screen for registering / changing a nonlinear expression by a multivariable is displayed. Select the position specification. Only one item is selected from the item name list of the row element of the causal matrix, and a plurality of items are selected from the item name list of the column element corresponding to the variable. The supply activity item name and multiple demand activity item names selected in the causal expression registration screen are displayed. For the variables of the registration expression, the characters "X1, X2,
,, Xn "(in this example, X1, X2) are used, and a multivariable expression is registered using these. The support element is displayed on the sub-screen of, and by designating the support element, the support element is dragged and registered in the registration column of the multivariable expression. At the time of unit cost calculation, after setting the number of factors to be apportioned for each variable to determine the degree of contribution to the demand activity variable,
Calculate and display the sum of the elements for all variables, calculate the prorate ratio. Display the multivariable nonlinear causal expression including the causal ratio of the causal matrix. Repeat until all the multivariable causal expressions with the proportional ratio can be registered. When all registrations have been completed, these settings and expressions are saved.

Form 3 In the case of registering / changing an indirect multivariable nonlinear expression (FIG. 14. Detailed description of registration / change work of form 3) (Details are shown in FIG. 18. Function of registering the causal relationship of one-variable nonlinearity in a unit) Refer to the example.) Enter the screen for registering / changing a non-linear expression using multiple variables, and select the position designation of the registered element. Only one item is selected from the item name list of the row element of the causal matrix, and a single item is selected from the item name list of the column element. Reads indirect variables that have been registered and set at the time of entering the activity amount, unit cost, and integrated system. For each element of the selected causal matrix, all registered indirect variables that are candidates on the causal equation registration screen are displayed together with simplified variable characters, and a nonlinear equation is selected by selecting from the list. Usable symbols and functions are selected and registered from this sub-screen. Repeat until all the causal matrix elements have been registered. For confirmation, a list of indirect variable nonlinear equations as elements of the causal matrix is displayed to check for omission of registration. If there is no omission, proceed to the next step. At this stage, the indirect variable nonlinear equation of the causal matrix is stored. The registration of the non-linear function using indirect variables mentioned here is a form in which individual elements of the causal matrix are registered.However, in addition, a form in which the causality is represented by a matrix formula and the entire formula is applied to the causal matrix There is also.

An embodiment will be described below for the part of establishing the causal value matrix in the activity amount / unit cost / integration system of the causal unit. (Figure 14. Unit activity, unit cost, diagram showing the overall function of the integrated system in a non-linear manner and Figure 19.
If there are polymorphic nonlinear forms in the unit,
(Refer to the example of the function of calculating the causal numerical value matrix using the already registered causal relations. Hereinafter, the explanation will be made using the same circled character numbers as described in Fig. 19.) Enter the screen for setting variables and set the values. In the calculation of the form 1, a numerical value is entered in the registered element formula of the causal matrix and the calculation is performed. If you do not register the need to check the calculation results. Display and confirm the causal value matrix of mode 1. If the numerical value is not satisfied, the routine returns to the registration / change of the form 1 in FIG. The causal numerical value matrix of mode 1 is stored. In the same manner as described above, for the form 2-1, not only the causal numerical value matrix but also the partial differential value,
The resulting causal value matrix is stored via a processing routine that displays the resulting apportionment ratio in a matrix. (10) As in (11), for Form 2-2, not only the causal value matrix but also
The resulting causal value matrix is stored via a processing routine that displays the resulting apportionment ratio in the same extent as the causal matrix. (12) Similar to (13) and (14), the causal numerical value matrix of the form 3 is calculated and stored. (15) The linear part of the causal relationship is also read as a linear causal matrix. (16) In the case where the causal expression is already registered, the calculation route of the causal numerical value matrix when the calculation is performed while changing only the deviation is shown. (17) The prepared nonlinear form of the causal numerical value matrix including the linear part and having the four non-linear forms is the same matrix in the same row and the same column, and a total causal coefficient matrix is established by superimposing and adding.

The flow of the embodiment for performing the calculation of the network in which the non-linear units are chained in multiple stages is not performed for each unit, as shown in FIG. As shown in (1), a chain activity amount model is formed for the activity amount, and while calculating the activity amount for each unit, each causal coefficient matrix calculated in the process is stored and the chain is advanced. In the chained unit cost model, the united cost model is calculated for each unit while extracting the stored numerical matrix, and the unit cost is transferred to the chained units in a form that reverses the chained activity amount model. (See Fig. 20: Relationship between the flow of calculating chain activity and the flow of calculating chain unit cost.)

(FIG. 21. Activity amount by chaining units)
If you select the item of chain calculation on the initial screen of this program, a list of registered units will be displayed as candidates for chaining, after confirming the operation in advance, and you will be able to click with the chain members by clicking. I do.

Next, a graphic causal model builder screen is developed, and candidate block units and branch blocks are displayed. With reference to the activity amount block diagram created by analyzing the causal relationship in advance, these blocks are dragged and arranged on the screen, and the causal direction between the blocks is related according to the activity amount relationship.

With this arrangement, an activity chain model is established, and a calculation sequence is established in such a manner that the supply activity in the preceding stage is transferred to the demand activity in the next stage in consideration of merging or branching. Here is the starting demand activity amount vector, which is the starting point,
The last unit price is searched for from the unit cost, which is the end of the activity amount and the unit cost. Also, search for those registered as indirect variables. Next, as a variable value input screen, element names are displayed in the form of a list of the results of these searches to facilitate numerical input. If it is not necessary to consider the matching of the delivery order of the items at the chain points, the process proceeds to the setting of the branch ratio.

When matching is necessary, a screen displaying data transfer points is developed in the form of a block diagram. Then, the delivery place is clicked to enter a data delivery correspondence setting screen, the delivery correspondence is registered, and all the delivery places are registered. After completing all the settings, proceed to the setting of the branch ratio (10).

(10) (11) When entering the setting screen of the branching ratio matrix, the branching point determines the diagonal element of the manufacturing method matrix. Therefore, the item names are displayed in a list format, and the ratio value is set in the right column. Register values and set for all branch points.

(12) At this point, all the settings are completed and the integrated calculation of the chain model is started. First, the activity model
Enter the method calculated by the unit using the value of the demand activity vector at the last stage, and calculate the causal value matrix,
A supply activity amount vector is obtained, and this is matched with the demand activity amount vector item in the preceding stage, the numerical values are arranged in the order of all stages, and the process proceeds to the calculation of the preceding unit. Such delivery and calculation of the activity amount of a single unit are repeated, and the supply amount matrix at the forefront stage is calculated while storing the causal numerical value matrix for each stage.

Next, the first stage demand vector is calculated by inner product of the first stage unit cost vector of the supply activity and the first stage causal numerical value matrix stored in the unit, and this is calculated as the value of the next stage supply unit cost vector. Calculating the demand unit cost vector of the last stage by extracting the causal value matrix of each stage that is sequentially passed and stored and traversing the chain list in reverse, and fetching the final stage.

At the time when a series of calculations in the chain are completed, the amount of activity, unit cost, total amount, and total amount including the elapsed values of all stages are calculated. (10) Enter the result display screen, select to display the total amount, total sum, activity amount, unit cost, causal matrix, etc. in all rows, and print them (14) (15) by selecting.

(16) (17) When the integrated calculation is completed, the aggregation matrix screen is entered in order to collectively grasp the degree of influence of the causality, and the causal numerical matrix is arranged along the direction of the causal chain requesting the activity amount. Calculate the aggregated causal matrix by connecting the inner product along the selected causal transition from the beginning to the end, incorporating the bifurcation matrix for the branch, and display the result, or (18) Print. (19) The variable values used in the calculation of these chains, the causal value matrix calculated in the middle, the amount of activity, the unit cost, and the like are stored in the external storage in all stages.

Although a method using dedicated software has been described as an embodiment of the invention, as another embodiment,
There is a method of writing and executing in a matrix language. Alternatively, register the explanatory variables in the upper block on the structure matrix, give the demand activity amount as the form of the linearization type symbol with the upper block directly above as the direct explanatory variable, and use the numerical values of the upper blocks other than immediately above as the indirect explanatory variable values. In coordination with the citation type symbol, a causal value matrix is generated in response to various forms and stored as a block value of the linearized type symbol. There is a method of obtaining the demand unit cost by inner product with the supply unit cost value prepared in the block immediately above, and a method of forming a complex chain model by forming a network between blocks on the structure matrix is there.

[0063]

According to the present invention, it is possible to obtain a highly accurate and reliable unit cost and total value by following the fluctuation of the activity amount to obtain a significant value. Fortunately, business activities are usually dominated by nonlinear phenomena and are linear. As before, the conventional method of calculating unit cost within the framework of fixed value + proportional cost based on arbitrary setting is unnatural, although it does not end, and it has a rooftop There was a limit to reliability. For example, when following a non-linear learning curve such as machining / assembly work or service work, the natural phenomena themselves are non-linear, and the unit cost of an event whose theoretical formula is non-linear such as fluid, chemical reaction or energy consumption is significant. Calculations are now available. This has made it possible to link highly reliable activities with unit costs and total costs.

If a model relating to the activity amount can be expressed for a phenomenon having a non-linear causal relationship, a unit cost model and a total amount model can be easily constructed in close contact with the model, and the cost structure can be expressed in an easy-to-understand manner. . Moreover, not only for one variable, but also for complex phenomena of multiple variables, the cost that contributes to the variable of demand activity can be calculated with the sense of the person in charge, incorporating the marginal contribution by partial differentiation, and Cost calculations have been made for phenomena that can only be explained by indirect factors. As a result, there is no need to mobilize specialists who deal with the amount of activity, cost and total amount in principle, and a wide range of activities can be dealt with from the grassroots to the comprehensive target of the target specialized activities. Therefore, it became possible to synchronize and plan in pursuit of activity volume and cost generation source.

Even when the causal relationship is a loop or a complex case in which a plurality of causal events are linked, even if the causal relationship includes a non-linear relationship, an activity model is formed for each causal stage (or single stage). For example, subsequently, a unit cost model and a total amount model can be formed secondarily, and an entire model can be easily formed even when a non-linear portion is included.

The appropriate calculation of the transfer cost in which the input value is transferred by the flow of the value through the multiple stages by linking the single stages of the causal relationship is performed by evaluating the intermediate stock and evaluating the products branched in the middle. It is necessary to set the delivery price to other departments, but it is difficult to maintain appropriateness,
In particular, since processes generated from natural objects often include highly nonlinear phenomena, if such a process is arranged in the first stage, the effect on the cost calculation in the subsequent process is extremely large, and the present invention makes the nonlinear phenomenon Has a significant role to play in costing. Unlike the conventional method of allocating costs based on the total incurred costs, this method of calculating costs in accordance with the flow of input activity amounts eliminates the effects of subsequent processes without opposing the causal flow. It has made it possible to calculate the unit cost to be transferred to dan rationally.

Until now, assuming that the structure of demand is a fixed pattern, an arbitrary equivalent count has to be set by focusing on the demand of a specific element. However, in the non-linear phenomenon, it is not proportional to the quantity. Therefore, by giving a demand figure to a causal model that incorporates the magnitude of the quantity, even if the demand figure or composition pattern fluctuates, the difference caused by the model itself can be greatly reduced, and the difference in demand composition based on the model, It has become possible to break away from the occurrence of a quantity difference.

In the modeling of a system having a complicated causal relationship, since a non-linear expression can be registered, a basic non-linear activity amount can be calculated at each time of local delivery. Based on the above, errors in the demand structure and quantity were minimized, resulting in the practicality and reliability of the results of case studies based on changes in external environments and policies.

As a total of these effects, if a model for calculating the supply activity amount from the demand activity amount can be established irrespective of linear or nonlinear, the unit cost of the supply activity can be given and the unit cost of the demand activity amount can be calculated. Therefore, it was possible to model individual items or even the total as a total by natural efforts. In other words, in the world where the events of activity have been elucidated scientifically or empirically, they have simultaneously approached the sources of consumption and the sources of costs, opening up the prospect of gradually incorporating them into the world of business management. In this way, the business value can be expressed organically by linking the activity value of the current business with the monetary value, giving a core method of building a business management system in a new era, and also building an economic, social and environmental model. It gives a new perspective.

[Brief description of the drawings]

FIG. 1 shows examples of various types of non-linear causal relationships according to the present invention.

FIG. 2 shows the relationship between the total amount, unit cost, and activity amount according to the present invention.

FIG. 3 shows a relationship related to a case where a supply activity amount is obtained from a demand activity amount according to the present invention.

FIG. 4 illustrates a relationship in which demand-side activity is determined by supply-side activity according to the present invention.

FIG. 5 shows a relationship in which a causal relationship according to the present invention forms a loop.

FIG. 6 shows various types of existence regions of the non-linear causal relation according to the present invention.

FIG. 7 is a view showing expressions of various forms of a causal relationship by nonlinear multivariables according to the present invention.

FIG. 8 illustrates calculation of a causal matrix corresponding to a non-linear one-variable function according to the first embodiment of the present invention.

FIG. 9 is a diagram showing establishment of a causal matrix and calculation of a proportional relation with respect to the nonlinear multivariable function according to the second embodiment of the present invention.

FIG. 10 shows an example of establishing a causal value matrix for an indirect multivariable nonlinear function according to the third embodiment of the present invention and calculating a supply unit cost.

FIG. 11 shows a calculation in a case where non-linear causal relationships according to the present invention are linked in multiple stages.

FIG. 12 shows a calculation when the amount of activity according to the present invention joins or branches between units.

FIG. 13 shows a main logic and a flow of information processing according to the embodiment of the present invention.

FIG. 14 is a diagram comprehensively showing the amount of unit activity, unit cost, and the functions of the integrated system in the non-linear polymorphism in the information processing apparatus according to the present invention.

FIG. 15 is a diagram showing an example of a registration function for a one-variable non-linear causal relation in a unit in the information processing apparatus according to the present invention.

FIG. 16 is a diagram illustrating a function of registration of a causal relationship of a multivariable nonlinear form in a unit and an apportioning method based on partial differentiation in an information processing apparatus according to the present invention.

FIG. 17 shows the function of registration for a causal relationship of a multivariable nonlinear form in a unit and a distribution method based on a distribution element in an information processing apparatus according to the present invention.

FIG. 18 shows an example of the function of registering a causal relational expression of an indirect multivariable nonlinear form in a unit in the information processing apparatus according to the present invention.

FIG. 19 shows an example of a function of calculating a causal numerical value matrix using a registered causal relationship when a unit has a polymorphic nonlinear form in the information processing apparatus according to the present invention.

FIG. 20 shows a relationship between a flow of calculating a chain activity amount and a flow of calculating a chain unit cost in the information processing apparatus according to the present invention.

FIG. 21 shows an example of an embodiment of an activity amount / unit cost / integration system by chaining units in the information processing apparatus according to the present invention.

Claims (8)

[Claims] 1. A supply activity vector composed of m elements on the supply side or individual elements thereof are defined as dependent variables, and individual elements of a demand activity vector composed of n elements on the demand side are defined as explanatory variables. A causal relationship expressed by a non-linear function (or a constant) including non-demand activity vector elements as explanatory variables (hereinafter referred to as indirect influence variables). Of the explanatory variables as numerical values, or locally giving numerical values to the explanatory variables and proceeding with the calculation as local values, the supply activity vector consisting of m elements shows a nonlinear causal relationship from m vertical and n horizontal The matrix of the ratio of supply activity to demand activity (that is, the matrix of the dependent variable to the explanatory variable)
And the demand activity volume vector consisting of n elements can be expressed as a dot product of the supply activity volume vector corresponding to the supply activity volume vector and the supply activity volume to demand activity volume ratio matrix. And a method for calculating a unit cost vector of a demand activity corresponding to the information processing. 2. An individual element of a demand activity vector composed of n elements on the demand side is defined as a dependent variable, and a supply activity vector composed of m elements on the supply side or an individual element thereof is defined as an explanatory variable ( Hereafter, a nonlinear function using these variables as direct influence variables, or a non-linear function using elements other than the elements of the demand activity vector as explanatory variables (hereinafter referred to as indirect influence variables) Including a causal relationship represented by the following formula, the calculation is performed as a local value by giving these explanatory variables numerical values or by giving numerical values to the explanatory variables, and the supply activity amount vector consisting of m elements has a nonlinear causal relationship. The vertical m,
Descriptor-to-explanatory variable ratio matrix consisting of n horizontal rows and n
If it can be expressed as a dot product of the demand activity amount vector consisting of the number of elements, the general inverse matrix of this dependent variable to explanatory variable ratio matrix is obtained, and this is used as the supply activity amount to demand activity amount ratio matrix. A method for calculating a unit cost vector of a demand activity corresponding to a demand activity amount by inner product of a unit cost vector of a supply activity corresponding to a vector and an apparatus related to information processing. 3. A supply activity amount vector composed of n elements on the supply side or each element thereof is an explained variable, and each element of the demand activity amount vector composed of the n elements on the demand side is an explanatory variable ( Hereinafter, a non-linear function using these variables as direct influence variables, or a non-linear function using elements other than the elements of the demand activity vector as variables (hereinafter, these are referred to as indirect influence variables) (including the case of constants) Or the demand activities are in a causal relationship described as a non-linear phenomenon by the supply activity, and the demand activity vector forms a loop as the supply activity vector In this case, the calculation of these explanatory variables as numerical values or as local values by giving numerical values to the explanatory variables proceeds, and the supply activity amount vector composed of n elements becomes A linear causal relationship can be expressed as a matrix of n × n explained variables versus explained variables, and an integrated matrix obtained as a renormalization series sum using this matrix as a loop element, and a demand activity amount consisting of n elements A method for calculating the unit cost vector of the demand activity corresponding to the demand activity amount by calculating the inner product of the unit cost vector of the supply activity corresponding to the supply activity amount vector and this integrated matrix, and an apparatus related to information processing. . 4. The supply activity vector composed of n elements on the supply side or each individual element thereof, wherein each element of the demand activity vector composed of n elements on the demand side is used as an dependent variable. When there is a causal relationship represented by a non-linear function (including the case of constants) with elements as explanatory variables, and the demand activity vector forms a loop as the supply activity vector, these explanatory variables are The calculation is advanced as a numerical value or a local value by giving a numerical value to the explanatory variable, and the supply activity amount vector composed of n elements is a non-linear causal relationship as a matrix of n × n explanatory variables to explanatory variables ratios. It can be expressed as an integrated matrix obtained as a renormalization series sum using this matrix as a loop element, and the inverse matrix (called the inverse integrated matrix) and n elements Calculates the unit cost vector of the demand activity corresponding to the demand activity amount by calculating the inner product of the unit cost vector of the supply activity corresponding to the supply activity amount vector and the inverse integration matrix. And information processing equipment. 5. A one-variable non-linear function (including a constant) in which each element of the explained variable vector has each element of the explanatory variable vector as a variable.
When the dependent variable-to-explanatory variable ratio matrix and the explanatory variable vector are interpolated to obtain the dependent variable vector, the j-th element of the explanatory variable vector is set to the vertical position, The value obtained by substituting the value of the j-th element of the explanatory variable vector into the variable of the nonlinear function of the (i, j) element of the explained variable-to-explained variable ratio matrix determined by the horizontal position of the i-th element of the explanatory activity vector An apparatus related to a method and an information processing for forming a explained variable-to-explained variable ratio matrix having a value obtained by dividing a value of a j-th element of an explanatory variable vector as an element value. 6. A method according to claim 1, wherein an element of the explained variable vector is represented as a nonlinear multivariable function (including a constant) having a plurality of elements of the explanatory variable vector as variables. The operator sets the influence ratio (referred to as the apportionment coefficient, the sum of which is 1) of each element of the explanation variable vector related to the i-th element of the explained variable vector, or gives the apportionment element number. The apportionment coefficient is automatically set, or the partial differential equation of the explanatory variable vector related to the i-th element of the dependent variable vector is obtained (including the case where the operator inputs the partial differential equation). , The sum of the partial differential values is calculated as the denominator, j
The ratio of the ith partial differential value as the numerator is the distribution coefficient of the (i, j) element, and the distribution coefficient includes the element value of the explanatory variable vector related to the nonlinear multivariable function of the i-th element of the dependent variable vector. And a method of forming a dependent variable-to-explanatory variable ratio matrix having a value obtained by multiplying a value obtained by substituting the value of the variable by the j-th element value of the explanatory variable vector as an (i, j) element Equipment. 7. If the target phenomenon is regarded as a connection of various non-linear causal relations between the supply activity amount vector and the demand activity amount vector for each section, each of the sections is defined as follows.
The method according to claim 6, wherein, between the segments, the subsequent supply activity vector is delivered directly to the preceding demand activity vector or by adding a plurality of supply vectors, and the supply activity versus the demand activity is divided for each segment. Calculate and store the quantity ratio matrix, establish a form that can calculate the supply activity amount vector at the supply start point, and start this form from the supply unit cost vector at the supply start point, trace it in the opposite direction, and save the corresponding form. The demand unit cost vector obtained by inner-producting the supply activity-to-demand activity ratio matrix is used as the next-stage supply unit cost vector, and the inner product of the calculated supply activity-to-demand activity ratio matrix corresponding to this is calculated. A method and an information processing apparatus for calculating a demand unit cost vector at an end, and a network from a specific end to a specific start point. The inner product of the supply activity to demand activity ratio matrix is calculated for each of the categories, and this is used as the integrated supply activity to demand activity ratio matrix.The supply unit cost vector at the supply start point and the integrated supply activity to demand activity ratio matrix And an information processing apparatus that calculates the terminal demand unit cost vector and performs integrated sensitivity analysis. 8. The corresponding elements between the demand activity vector and the demand unit cost vector and the supply activity vector and the supply unit cost vector obtained using claim 1 to claim 7. A method and an information processing apparatus for obtaining a total sum of individual sums and their sum by arithmetic product.