RU115940U1 - SYSTEM FOR DETERMINATION OF MICROELEMENT STANDARDS OF TIME - Google Patents

Abstract

A system for determining microelement time standards, containing a memory register for the results of experimental data, a unit for determining the time standards for the current combination of factors and a unit for calculating regression coefficients, the first input of which is connected to the output of the regression coefficient memory register, characterized in that a block for setting the experiment planning matrix is introduced, designed for the formation of a rotatable second-order plan, and a block for setting experimental values of factors, the input of which is connected to the output of the block for setting the experiment planning matrix, and the output is connected to the input of the experimental data memory register and to the second input of the block for calculating regression coefficients intended for calculating nonlinear regression coefficients the type and output of which is connected to the input of the block for determining the time standards for the current combination of factors.

Description

The utility model relates to the field of data processing for special applications, in particular, to determine the dependence of microelement time standards (standards of the simplest elements of labor processes, for example, movements, time of input of a single document, etc.) on influencing factors by regression analysis based on the obtained the results of experiments conducted using rotatable plans for their behavior.

A known system comprising an information processing device including identification information elements, identification information output means, comparison means, selective reception means, and also first and second data processing means with corresponding connections [RU, 2236703, C2, G06F 19/00, 20.09. 2004].

The disadvantage of the system is the relatively narrow functionality.

A system is also known, which includes n nodes for determining the duration of microelements, each of which contains a series-connected memory register of experimental data, a data processing unit and a time determination unit, the second input of which is the input of setting factor values, and the output is the output of the corresponding determination node the duration of trace elements [RU, 63082, U1, G06F 19/00, 05/10/2007].

The disadvantage of the system is the relatively narrow functionality.

The closest in technical essence to the proposed one is a system containing a data processing unit that performs the functions of a unit for calculating regression coefficients, a memory register of experimental data, an output group of which is connected to a group of inputs of a data processing unit, a unit for determining time standards with an optimal combination of factors, the first input which is the input of the task of the optimal combination of factors, the unit for determining the time standards for the current combination of factors, the first input of which is the input of the job of the current combination of factors, the second input of which is connected to the second input of the time standard determination unit with the optimal combination of factors and the output of the data processing unit, as well as the division unit, the first and second inputs of which are connected, respectively, with the output of the time standard determination unit with an optimal combination of factors, and a unit for determining time standards with the current combination of factors [RU, 63063, U1, G06F 19/00, 2007].

The disadvantage of the system is the relatively narrow functionality, due to the fact that it allows you to determine the dependence of microelement time standards on influencing factors, but it does this with the simplest model of this dependence, based on the variation of factors at only two levels and using a linear regression model of the dependence of microelement time standards from factors without taking into account their mutual influence, which often leads to nonlinear dependence. This reduces the accuracy of the system.

The required technical result is to expand the functionality and increase accuracy.

The required technical result is achieved by the fact that in the device containing the memory register of the results of the experimental data, the block for determining the time standards for the current combination of factors and the block for calculating the regression coefficients, the first input of which is connected to the output of the register of the memory of the regression coefficients, the block for specifying the experimental design matrix for the formation of a rotatable plan of the second order, and a block for setting experimental values of factors, the input of which is connected to the output Lok experiment the job scheduling matrix, and output - with an input coupled to the experimental data memory register and a second input of the calculation of the regression coefficients, intended to calculate regression coefficients of the nonlinear type and whose output is connected to the input determination unit at the current time standards combined factors.

The drawing shows a structural diagram of a system for determining trace elements time standards.

The system for determining microelement time standards contains a register 1 of the memory for the results of experimental data, a unit 2 for determining the time standards for the current combination of factors, and a unit 3 for calculating the regression coefficients, the first input of which is connected to the output of the register 1 for the memory of the regression coefficients.

In addition, the system contains a block 4 for setting the experimental planning matrix, designed to form a rotatable plan of the second order, and a block 5 for setting experimental values of the factors, the input of which is connected to the output of block 4 for setting the experimental planning matrix, and the output is connected to the input of the experimental memory register 1 data and with the second input of the block 3 of calculating the regression coefficients, designed to calculate the regression coefficients of a nonlinear form and the output of which is connected to the input of block 2 about definiteness time standards at the current combination of factors.

Register 1 can be made in the form of a standard memory register. The remaining blocks can be made in the form of specialized computing devices. Since they are characterized at the functional level, and the described form of implementation involves the use of a programmable (customizable) multifunctional tool, the following information is presented that confirms the possibility of such a tool performing the specific function prescribed for it as part of this device. In particular, such information includes computational algorithms and corresponding mathematical expressions.

The system operates to determine the microelement standards of time as follows.

Previously, according to a signal from a synchronizing generator (not shown in the drawing), information on the results of preliminary experimental studies to determine microelement time standards (elements of the labor process) is entered into register 1 to the write enable input, resulting in various combinations of levels of factors affecting the duration of the microelement operation, the time of its execution was determined.

In block 4, which can be made in the form of memory blocks, a planning matrix is set, for example, in the form of a rotatable plan of the second order.

To draw up such a plan, the main factors are identified that affect the time of the microelement operation, characterizing its output parameter. Levels of variation of factors are determined from the analysis of a priori information. In quadratic planning, factors change at five levels, which allows us to describe the nonlinear dependence of the output parameter on influencing factors.

When forming the planning matrix, factors are presented in dimensionless arbitrary units

, where X, is the encoded value of the i-th factor, x _i is the current value of the i-th factor, x _i0 is the initial level of the factor, I _xi is the interval of variation of the i-th factor.

In the particular case, for each of the factors, in addition to the lower, upper, and main (middle) levels, two additional levels are established — lower by a value lower than the lower and higher than the upper

α = 2 ^{k / 4}

where k is the number of factors.

The conditions of the experiments are reflected in the planning matrix, where the rows correspond to the serial number of the experiment, and the columns correspond to the coded values of the factors, for example:

No. X _1u X _2u X _3u one -one -one -one 2 +1 -one -one 3 -one +1 -one four +1 +1 -one 5 -one -one +1 6 +1 -one +1 7 -one +1 +1 8 +1 +1 +1 9 -1.682 0 0 10 +1.682 0 0 eleven 0 -1.682 0 12 0 +1.682 0 13 0 0 -1.682 fourteen 0 0 +1.682 15-20 0 0 0

The coded levels of factors indicated in the columns for all experiments from block 4 are transferred to block 5, in which they are reduced to natural values. These values from block 5 are transferred to block 3 of the calculation of the regression coefficients, which receives the values of the output parameter from block 1, which correspond to the same values of the factors.

As a result, in block 3, the coefficients of the regression equation can be calculated. To calculate them, the following relationships can be used:

, , ,

,

Where , ; N is the number of experiments, k is the number of factors, Y _u is the result of the u-th experiment, u is the current number of the experiment, i, j is the factor number (j> i).

The obtained values of the coefficients are transferred to block 2 determining the standards of time with the current combination of factors in which the resulting dependence is formed.

In the case of three factors that have a significant effect on the time of the microelement operation, the regression equation is written as a polynomial of the second degree

y _u = b ₀ + b ₁ X ₁ + b ₂ X ₂ + b ₃ X ₃ + b ₁₂ X ₁ X ₂ + b ₁₃ X ₁ X ₃ + b ₂₃ X ₂ X ₃ + b ₁₁ X ₁ ² + b ₂₂ X ₂ ² + b ₃₃ X ₃ ² .

Thus, the proposed device achieves the required technical result associated with the expansion of functionality and increased accuracy, since the device allows you to determine the microelement time standards for various combinations of factor levels in the conditions of rotational planning of the experiment, which allows to obtain more accurate non-linear type dependencies typical for the case mutual influence of factors.

Claims (1)

A system for determining microelement time standards, containing a register of experimental results data memory, a time standard determination unit for the current combination of factors, and a regression coefficient calculation unit, the first input of which is connected to the output of the regression coefficient memory register, characterized in that the block for specifying the experiment planning matrix is introduced, intended for the formation of a rotatable plan of the second order, and a block for setting experimental values of factors, the input of which is Inonii with the output of the reference matrix of experimental design and the output connected to the input of experimental data memory register and a second input of the calculation of the regression coefficients, intended to calculate regression coefficients of the nonlinear type and whose output is connected to the input determination unit at the current time standards combined factors.