CN104679945B - System comprehensive estimation method based on colored Petri network - Google Patents

System comprehensive estimation method based on colored Petri network Download PDF

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CN104679945B
CN104679945B CN201510051688.0A CN201510051688A CN104679945B CN 104679945 B CN104679945 B CN 104679945B CN 201510051688 A CN201510051688 A CN 201510051688A CN 104679945 B CN104679945 B CN 104679945B
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tokken
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CN104679945A (en
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孙有朝
崔灿丽
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Nanjing University of Aeronautics and Astronautics
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Nanjing University of Aeronautics and Astronautics
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Abstract

The invention discloses a kind of system comprehensive estimation method based on colored Petri network, carry out still suffering from " two skins " phenomenon between four property when four property are assessed for complication system, first define a kind of new comprehensive assessment system, establish four property integrated synthesis assessment models of the system, secondly, using the powerful descriptive power of colored Petri network, four character states of complication system are divided into three classes:Availability(Reliability, maintainability), testability and security, while giving this three classes state to be dyed, the Tokken that availability is represented in Petri network is defined as yellow;The Tokken for representing security is defined as blueness;The Tokken for representing testability is defined as purple, finally, and the comprehensive assessment for completing complication system using four property integrated synthesis assessment models of foundation and four property colored Petri networks works, while the present invention is the cyclic process of design and assessment.System comprehensive estimation method proposed by the present invention based on colored Petri network effectively solves " isolating " problem of current four property.

Description

System comprehensive estimation method based on colored Petri network
Technical field
The present invention relates to the property integrated synthesis appraisal procedure of the four of Complex System in Development Testing Program field, more particularly to a kind of base In the system comprehensive estimation method of colored Petri network.
Background technology
With the continuous progress of science and technology, the continuous fusion between each subject, especially in computerized information, intelligent control With the field such as equipment manufacturing, a large amount of multi-functional complication systems are formd.Meanwhile, with emerging in multitude for complication system, for The reliability of complication system, maintainability, the comprehensive assessment problem of testability and security are also following, i.e., how to allow system The combination properties such as reliability, maintainability, testability and security are very high, then need to understand four character state feelings of complication system constantly Condition, is adjusted to the design parameter of system, and then generates the problem of four property integrated synthesis are assessed.It is domestic for multiple at present The problem of miscellaneous property of system four is assessed, also only rests on the assessment of single attribute, it is impossible to the synthetic relationship set up between four property and comprehensive Set between matched moulds type, it is impossible to the design between the property of choosing comprehensively four, i.e., four property still in " isolating " state and four property with product There is " two skins " phenomenon in meter.However, four good character states are to ensure that complication system is more efficient, more economical work premise, Therefore, it is necessary to which solving the property of current design four " isolates " problem, four property integrated synthesis models of complication system are set up, are realized complicated Four property integrated synthesis Parallel Designs of system are with assessing.
Petri net model method is as a kind of mathematics and the descriptive analysis instrument of figure, and it is directly perceived, vivid to have the advantages that, Situations such as can be very good to describe common synchronous, concurrent, distribution, conflict and resource-sharing in complication system, use extensively In fields such as various flexible manufacturing systems.Petri network has just occurred in that a lot of other type Petri networks since the generation, such as random Petri network, Time Petri Nets and colored Petri network etc., wherein colored Petri network can be to the development stages of complication system Task is classified and dyed, and has powerful descriptive power to complication system.Due to four character states of complication system be not with Time change, therefore dynamically represent using visual modeling tool colored Petri network the restructural characteristic of complication system, And then integrated synthesis assessment is carried out to its four characters state.
For Complex System Reliability, maintainability, testability and safety evaluation exist can not choosing comprehensively, Wu Fayi " isolating " problem of body comprehensive assessment, the present invention is classified and dyed to four property of complication system using colored Petri network, Four property design parameters are carried out choosing comprehensively by the synthetic relationship and collective model set up between each attribute, are finally completed whole The four property Parallel Designs and evaluation process of complication system, i.e. design-assessment-adjusted design-cyclic process reevaluated.This The property integrated synthesis of complication system four appraisal procedure based on colored Petri network that invention is proposed can effectively solve current product Four property " isolating " and " two skins " problem in design, set up four property integrated synthesis models of complication system, and system is understood in real time Four residing character states of system, complete to carry out whole system choosing comprehensively design and the work assessed, improve system evaluation Accuracy and real-time.
The content of the invention
The technical problems to be solved by the invention are to be directed to defect involved in background technology there is provided one kind based on coloured The system comprehensive estimation method of Petri network, with solve in the prior art complication system can not choosing comprehensively, can not set up four property it Between synthetic relationship and collective model and then the problem of be difficult to comprehensive assessment and Parallel Design.
The present invention uses following technical scheme to solve above-mentioned technical problem:
System comprehensive estimation method based on colored Petri network, comprises the following steps:
Step 1), it is reliability, maintainability, testability and safety information by the corresponding four property information of each part in system It is input in Petri network database, is given to the Tokken in corresponding component place, and its color is set to black;
The Tokken includes numerical value, time and attribute, wherein, numerical value is four property parameter values of the part, and the time is part The Stage Value of residing life cycle, attribute is safety label;
Step 2), the initial marking of whole Petri network is set;
Step 3), initial trigger place is set, its dynamic Tokken accordingly is assigned, and set input, output and trigger Condition;
The dynamic Tokken is used to collect processing Tokken information and transmitted to next place, includes time parameter sum Group, wherein, time parameter is the Stage Value of life cycle residing for part, and array is used for four property for storing the Tokken for collecting processing Value;
Step 4), the initial transition of triggering;
Step 5), availability, loss probability and the testability value of computing system, return to final result of calculation to most respectively Dynamic Tokken in latter place;
Step 6), the dynamic Tokken in last place produces three kinds of colors and moves Tokken:For the yellow of availability Dynamic Tokken, the blueness for security move Tokken and the purple for testability moves Tokken, and pass to corresponding next stage Place;
Three kinds of colors move availability, loss probability and the test that Tokken carries corresponding return value, i.e. system respectively Property value;
Step 7), judge whether availability, loss probability and the testability value of system meet each set in advance respectively Three kinds of colors, if all met, are moved Tokken and are delivered separately to corresponding next place, perform step 8 by threshold range);
Otherwise the desired value for being unsatisfactory for threshold range set in advance is ranked up, distinguished according to the ranking results of output The design parameter of corresponding component is adjusted, step 1 is re-executed);
Step 8), calculate the Feasible degree of whole system;
Step 9), judge the Feasible degree V of systems(t) whether it is more than lowest possible degree threshold value set in advance, if it is, Turn to and perform step 12), otherwise continue executing with step 10);
Step 10), red early warning is sent, and output result is ranked up to the index of four property;
Step 11), the availability and security of system are compared, and the property of performance relative mistake is ranked up, And the design parameter of each part corresponding properties is adjusted according to ranking results, re-execute step 1);
Step 12), the Feasible degree of output system and corresponding four property desired value.
It is used as system comprehensive estimation method further prioritization scheme of the present invention based on colored Petri network, the step 5) comprising the following steps that for system availability is calculated in:
Step 5.A1), judge whether current transition meet trigger condition, step 5.A2 is continued executing with if met), it is no Then, computing system availability is terminated;
Step 5.A2), the dynamic Tokken of initial place is delivered to next place, and will be held in the palm in next place by transition triggering The availability parameters value for agreeing to carry is put into the array of dynamic Tokken;
Step 5.A3), whether be last part place, if it is, available in Tokken array to moving if judging current place Property parameter value calculated according to the model of foundation, current will calculate obtained by system availability value Vs(t) current place is assigned Dynamic Tokken, then perform step 5.A4), otherwise re-execute step 5.A1);
Step 5.A4), return can use angle value Vs(t)。
It is used as system comprehensive estimation method further prioritization scheme of the present invention based on colored Petri network, the step 5) comprising the following steps that for system loss probability is calculated in:
Step 5.B1), judge whether current transition meet trigger condition, if it is, continuing executing with step 5.B2), otherwise Terminate computing system loss probability;
Step 5.B2), the property value according to entrained by Tokken in current place judges whether the place is security-related Serious part place, if it is, performing step 5.B3), otherwise, the value for keeping current dynamic Tokken to carry is constant, turns to and performs Step 5.B5);
Step 5.B3), judge whether current transition meet trigger condition, step 5.B4 is continued executing with if met), it is no Then, computing system loss probability is terminated;
Step 5.B4), the dynamic Tokken of initial place is delivered to next place, and will be held in the palm in next place by transition triggering The loss probability value for agreeing to carry is put into the array of current dynamic Tokken, is then passed to next place;
Step 5.B5), whether be part last place, if it is, being pressed to the value in security array if judging current place Security model according to foundation is just calculated, by the system loss probable value S obtained by current calculatesAssign the dynamic support of current place Agree, then perform step 5.B6), otherwise, turn to step 5.B2);
Step 5.B6), return to the system loss probability S that the dynamic Tokken of current place is carrieds
It is used as system comprehensive estimation method further prioritization scheme of the present invention based on colored Petri network, the step 5) comprising the following steps that for system testing value is calculated in:
Step 5.C1), judge whether current transition meet trigger condition, step 3.C2 is continued executing with if met), it is no Then, computing system testability value is terminated;
Step 5.C2), the dynamic Tokken of initial place is delivered to next place, and will be held in the palm in next place by transition triggering The testability parameter value for agreeing to carry is put into the array of dynamic Tokken;
Step 5.C3), whether be final part place, if it is, being pressed to the value in testability array if judging current place Calculated according to the model of foundation, by the system testing value obtained by current calculateAssign the dynamic Tokken of current place and then hold Row step 5.C4), otherwise, turn to step 5.C1);
Step 5.C4), the testability value of return system
It is used as system comprehensive estimation method further prioritization scheme of the present invention based on colored Petri network, the step 8) detailed step is as follows:
Step 8.1), according to the Feasible degree that all parts are calculated with drag:
Vi(t)=Ai(∞)·FDRi·FIRi·(1-FARi)·(1-Si)
In formula, Vi(t) it is Feasible degree of i-th of part in moment t, Ai(∞) is the Steady temperature field of part, SiFor portion The loss probability of part;FDRi、FIRi、FARiRespectively the verification and measurement ratio of part, isolation rate and False alarm rate;
Step 8.2), according to the Feasible degree that whole system is calculated with drag:
In formula, Vs(t) it is availability of the system in moment t;N is the number of system unit;A(∞)sFor the feasible of system Degree;MTBFsFor the MTBF of system;MTTRsFor the MTTR of system;Join for the testability of system Number;SsFor the loss probability of system;A0It is the minimum requirements of system availability;It is the minimum requirements of testability value;S0It is loss The maximum requirement of probability;J is the number of security-related serious part.
The Feasible degree model of foundation is applicable the systems such as common series and parallel, other connection and voting, in the application model, The concrete structure type according to complication system is needed, by the usability model in model, testability model and security model Embodied, with the system for being applicable different structure.
The present invention uses above technical scheme compared with prior art, with following technique effect:
1. the present invention combines reliability, maintainability, testability, four attribute such as security, the integration of four property is established Collective model, the model can carry out choosing comprehensively analysis to four property of complication system and integrated synthesis is assessed, and understands in real time The state of system, efficiently solves " isolating " problem in current product design between four property and eliminates four property and product design Between " two skins " phenomenon;
2. the present invention is using the powerful descriptive power of colored Petri network, by four sex chromosome mosaicisms respectively with the Tokken of three kinds of colors To represent, problem is become apparent from, modeling is more prone to, carry out integrated synthesis and assess more convenient;
3. the four property integrated synthesis appraisal procedures that the present invention is provided, the efficiency and system for improving whole system assessment is whole The accuracy of body state;
4. the system that modeling procedure and appraisal procedure proposed by the invention is not only applicable to different structure, this method is same Multiple attributes can be extended to, therefore this method has good applicability and expansion.
Brief description of the drawings
Fig. 1 is the schematic flow sheet of the present invention;
Fig. 2 is the layer of structure and functional hierarchy corresponding relation of certain function system;
Fig. 3 is the task model block diagram of certain function system;
Fig. 4 is the Petri net model of certain function system.
Embodiment
Technical scheme is described in further detail below in conjunction with the accompanying drawings:
As shown in figure 1, the invention discloses a kind of system comprehensive estimation method based on colored Petri network, including it is as follows Step:
Step 1), it is reliability, maintainability, testability and safety information by the corresponding four property information of each part in system It is input in Petri network database, is given to the Tokken in corresponding component place, and its color is set to black;
The Tokken includes numerical value, time and attribute, wherein, numerical value is four property parameter values of the part, and the time is part The Stage Value of residing life cycle, attribute is safety label;
Step 2), the initial marking of whole Petri network is set;
Step 3), initial trigger place is set, its dynamic Tokken accordingly is assigned, and set input, output and trigger Condition;
The dynamic Tokken is used to collect processing Tokken information and transmitted to next place, includes time parameter sum Group, wherein, time parameter is the Stage Value of life cycle residing for part, and array is used for four property for storing the Tokken for collecting processing Value;
Step 4), the initial transition of triggering;
Step 5), availability, loss probability and the testability value of computing system, return to final result of calculation to most respectively Dynamic Tokken in latter place;
Step 6), the dynamic Tokken in last place produces three kinds of colors and moves Tokken:For the yellow of availability Dynamic Tokken, the blueness for security move Tokken and the purple for testability moves Tokken, and pass to corresponding next stage Place;
Three kinds of colors move availability, loss probability and the test that Tokken carries corresponding return value, i.e. system respectively Property value;
Step 7), judge whether availability, loss probability and the testability value of system meet each set in advance respectively Three kinds of colors, if all met, are moved Tokken and are delivered separately to corresponding next place, perform step 8 by threshold range);
Otherwise the desired value for being unsatisfactory for threshold range set in advance is ranked up, distinguished according to the ranking results of output The design parameter of corresponding component is adjusted, step 1 is re-executed);
Step 8), calculate the Feasible degree of whole system;
Step 9), judge the Feasible degree V of systems(t) whether it is more than lowest possible degree threshold value set in advance, if it is, Turn to and perform step 12), otherwise continue executing with step 10);
Step 10), red early warning is sent, and output result is ranked up to the index of four property;
Step 11), the availability and security of system are compared, and the property of performance relative mistake is ranked up, And the design parameter of each part corresponding properties is adjusted according to ranking results, re-execute step 1);
Step 12), the Feasible degree of output system and corresponding four property desired value.
The step 5) in calculate system availability and comprise the following steps that:
Step 5.A1), judge whether current transition meet trigger condition, step 5.A2 is continued executing with if met), it is no Then, computing system availability is terminated;
Step 5.A2), the dynamic Tokken of initial place is delivered to next place, and will be held in the palm in next place by transition triggering The availability parameters value for agreeing to carry is put into the array of dynamic Tokken;
Step 5.A3), whether be last part place, if it is, available in Tokken array to moving if judging current place Property parameter value calculated according to the model of foundation, current will calculate obtained by system availability value Vs(t) current place is assigned Dynamic Tokken, then perform step 5.A4), otherwise re-execute step 5.A1);
Step 5.A4), return can use angle value Vs(t)。
The step 5) in calculate system loss probability and comprise the following steps that:
Step 5.B1), judge whether current transition meet trigger condition, if it is, continuing executing with step 5.B2), otherwise Terminate computing system loss probability;
Step 5.B2), the property value according to entrained by Tokken in current place judges whether the place is security-related Serious part place, if it is, performing step 5.B3), otherwise, the value for keeping current dynamic Tokken to carry is constant, turns to and performs Step 5.B5);
Step 5.B3), judge whether current transition meet trigger condition, step 5.B4 is continued executing with if met), it is no Then, computing system loss probability is terminated;
Step 5.B4), the dynamic Tokken of initial place is delivered to next place, and will be held in the palm in next place by transition triggering The loss probability value for agreeing to carry is put into the array of current dynamic Tokken, is then passed to next place;
Step 5.B5), whether be part last place, if it is, being pressed to the value in security array if judging current place Security model according to foundation is just calculated, by the system loss probable value S obtained by current calculatesAssign the dynamic support of current place Agree, then perform step 5.B6), otherwise, turn to step 5.B2);
Step 5.B6), return to the system loss probability S that the dynamic Tokken of current place is carrieds
The step 5) in calculate system testing value and comprise the following steps that:
Step 5.C1), judge whether current transition meet trigger condition, step 3.C2 is continued executing with if met), it is no Then, computing system testability value is terminated;
Step 5.C2), the dynamic Tokken of initial place is delivered to next place, and will be held in the palm in next place by transition triggering The testability parameter value for agreeing to carry is put into the array of dynamic Tokken;
Step 5.C3), whether be final part place, if it is, being pressed to the value in testability array if judging current place Calculated according to the model of foundation, by the system testing value obtained by current calculateAssign the dynamic Tokken of current place and then hold Row step 5.C4), otherwise, turn to step 5.C1);
Step 5.C4), the testability value of return system
The step 8) detailed step it is as follows:
Step 8.1), according to the Feasible degree that all parts are calculated with drag:
Vi(t)=Ai(∞)·FDRi·FIRi·(1-FARi)·(1-Si)
In formula, Vi(t) it is Feasible degree of i-th of part in moment t, Ai(∞) is the Steady temperature field of part, SiFor portion The loss probability of part;FDRi、FIRi、FARiRespectively the verification and measurement ratio of part, isolation rate and False alarm rate;
Step 8.2), according to the Feasible degree that whole system is calculated with drag:
In formula, Vs(t) it is availability of the system in moment t;N is the number of system unit;A(∞)sFor the feasible of system Degree;MTBFsFor the MTBF of system;MTTRsFor the MTTR of system;Join for the testability of system Number;SsFor the loss probability of system;A0It is the minimum requirements of system availability;It is the minimum requirements of testability value;S0It is loss The maximum requirement of probability;J is the number of security-related serious part.
Below by taking certain function system as an example:
Certain function system is by suction mechanism decelerator, motor A components, air-breathing door shaft structure, air-breathing crust component, suction Pneumatic module, exhaust gear decelerator, motor B components, exhaust valve door shaft structure, exhaust valve crust component, gas deflation assembly etc. Ten parts are constituted.The layer of structure of the function system is with functional hierarchy corresponding relation as shown in Fig. 2 analysis can obtain whole function series The task model block diagram of system is as shown in Figure 3.
Assuming that the availability lowest threshold requirement distributed in advance in the R&D contract of the function system is 0.90, testability value Lowest threshold requirement is 0.83, and the lowest threshold requirement of loss probability is 0.08, and Feasible degree minimum requirements is 0.65.In addition, certain Four property essential informations of one moment each part are as shown in table 1.
The property essential information of table 1 four
Based on JAVA platforms, according to step 1)~step 3), four property information in table 1 are input in Petri databases, It is modeled with PIPE towards the function system, then the Petri net model of the function system is as shown in Figure 4.
P0 is initial place in Fig. 4, and 10 parts of the place P1~P10 respectively with system are corresponding, and place P11~P32 is Four property integration evaluation process, wherein place P23 represents the assessment result of availability, you can by property and maintainability comprehensive assessment, Place P32 represents testability assessment result, and P27 represents safety evaluation result, and P29 represents the comprehensive assessment of four property integration, That is the assessment result of feasibility.During comprehensive assessment, P10 needs to assign the result of availability, testability and security not respectively With " the dynamic Tokken " of color, and it is delivered separately to place P13, P12, P11.Availability place P13 obtain yellow move Tokken when, Need to assess whether availability reaches requirement, require to continue Tokken passing to place P18 if met, otherwise will produce red Color moves Tokken along place P19 to P23.Testability place P12 and security place P11 situation are similar with place P13 situation.
The determination strategy of the figure is:
1) in place P29, P23, P27 and P32, if having in only place P29 a green move Tokken when, represent this When the function system four property indexs all meet the requirements, the property index of function system four and overall target --- Feasible degree compares It is good.
2) in place P29, P23, P27 and P32, when such as place P23 has Tokken, it is divided to two classes
A classes:There is a red Tokken in P23 places, represent the availability not up to minimum requirements of the function system;
B classes:There are a red Tokken and a yellow Tokken in P23 places, the availability for representing the function system reaches It is required that, but cause Feasible degree to be not up to requirement because the value of availability is relatively relatively low.Place P27 situation is similar with P23.
When having a red Tokken in place P32, the testability index for representing the function system is not up to requirement.
By the emulation of Petri network, by step 5) availability of the function system, loss probability and testability value are calculated, Then the availability of the function system is:
The testability value of systemFor:
The loss probability of system is:
Place P13, P12 and P11 will occur yellow, purple and the dynamic Tokken of blueness respectively in Fig. 4, by step 6) and step 7) judgement understands that availability, loss probability and the testability value of system all meet the requirements, then the dynamic Tokken of three kinds of colors will divide Supplementary biography passs place P18, P15 and P17, then by step 8) calculate the Feasible degree of the function system, i.e.,
The Feasible degree of system is:
By step 9) know that the Feasible degree of the function system meets the threshold requirement of system, now place P29 will appear from green Dynamic Tokken, then directly to step 12), Feasible degree now and each four property desired value are exported, whole evaluation process is completed.
If the minimum requirements of the availability of the function system is 0.95, know that the availability of now system is undesirable, Then by step 6) and step 7) know, now place P16 will appear from red Tokken, and be triggered along path P 16-P19-P23, final storehouse Occur red Tokken in institute P23, represent now system availability and be unsatisfactory for requiring, and export ranking results and be:
P8<P3<P10<P6<P1<P5<P9<P4<P7<P2。
It can learn that the available angle value for the part that place P8, P3 and P10 are represented is relatively low from ranking results, i.e. exhaust valve door The availability of axis mechanism, air-breathing door door shaft structure and gas deflation assembly is relatively low, so when being designed to the function system, can The preferential equipment low to these availabilities is improved design or changed, and by step 7) turn to step 1) emulate again, directly Whole four property index system all meets requirement.This method can quickly improve the overall four property performances of the function system and feasible Degree, has good practicality and accuracy in real work.

Claims (5)

1. the system comprehensive estimation method based on colored Petri network, it is characterised in that comprise the following steps:
Step 1), it is that reliability, maintainability, testability and safety information are inputted by the corresponding four property information of each part in system Into Petri network database, the Tokken in corresponding component place is given to, and its color is set to black;
The Tokken includes numerical value, time and attribute, wherein, numerical value is four property parameter values of the part, and the time is residing for part The Stage Value of life cycle, attribute is safety label;
Step 2), the initial marking of whole Petri network is set;
Step 3), initial trigger place is set, its dynamic Tokken accordingly is assigned, and set input, output and trigger condition;
The dynamic Tokken is used to collecting processing Tokken information and to be transmitted to next place, comprising time parameter and array, its In, time parameter is the Stage Value of life cycle residing for part, and array is used for the four property values for storing the Tokken for collecting processing;
Step 4), the initial transition of triggering;
Step 5), availability, loss probability and the testability value of computing system, return to final result of calculation and arrive last respectively Dynamic Tokken in individual place;
Step 6), the dynamic Tokken in last place produces three kinds of colors and moves Tokken:Yellow for availability moves support Agree, the dynamic Tokken of blueness for security and the purple for testability move Tokken, and pass to corresponding next stage place;
Three kinds of colors move availability, loss probability and the testability value that Tokken carries corresponding return value, i.e. system respectively;
Step 7), judge whether availability, loss probability and the testability value of system meet respective threshold value set in advance respectively Three kinds of colors, if all met, are moved Tokken and are delivered separately to corresponding next place, perform step 8 by scope);
Otherwise the desired value for being unsatisfactory for threshold range set in advance is ranked up, adjusted respectively according to the ranking results of output The design parameter of corresponding component, re-executes step 1);
Step 8), calculate the Feasible degree of whole system;
Step 9), judge the Feasible degree V of systems(t) whether it is more than lowest possible degree threshold value set in advance, is held if it is, turning to Row step 12), otherwise continue executing with step 10);
Step 10), red early warning is sent, and output result is ranked up to the index of four property;
Step 11), the availability and security of system are compared, and the property of performance relative mistake is ranked up, and root The design parameter of each part corresponding properties is adjusted according to ranking results, step 1 is re-executed);
Step 12), the Feasible degree of output system and corresponding four property desired value.
2. the system comprehensive estimation method according to claim 1 based on colored Petri network, it is characterised in that the step It is rapid 5) in calculate system availability and comprise the following steps that:
Step 5.A1), judge whether current transition meet trigger condition, step 5.A2 is continued executing with if met), otherwise, knot Beam computing system availability;
Step 5.A2), the dynamic Tokken of initial place is delivered to next place, and Tokken in next place is taken by transition triggering The availability parameters value of band is put into the array of dynamic Tokken;
Step 5.A3), whether be last part place, if it is, joining to the availability moved in Tokken array if judging current place Numerical value is calculated according to the model of foundation, by the system availability value V obtained by current calculates(t) the dynamic of current place is assigned Tokken, then performs step 5.A4), otherwise re-execute step 5.A1);
Step 5.A4), return can use angle value Vs(t)。
3. the system comprehensive estimation method according to claim 1 based on colored Petri network, it is characterised in that the step It is rapid 5) in calculate system loss probability and comprise the following steps that:
Step 5.B1), judge whether current transition meet trigger condition, if it is, continuing executing with step 5.B2), otherwise terminate Computing system loss probability;
Step 5.B2), the property value according to entrained by Tokken in current place judges whether the place is security-related tight Heavy parts place, if it is, performing step 5.B3), otherwise, the value for keeping current dynamic Tokken to carry is constant, turns to and performs step 5.B5);
Step 5.B3), judge whether current transition meet trigger condition, step 5.B4 is continued executing with if met), otherwise, knot Beam computing system loss probability;
Step 5.B4), the dynamic Tokken of initial place is delivered to next place, and Tokken in next place is taken by transition triggering The loss probability value of band is put into the array of current dynamic Tokken, is then passed to next place;
Step 5.B5), whether be part last place, if it is, to the value in security array according to building if judging current place Vertical security model is just calculated, by the system loss probable value S obtained by current calculatesThe dynamic Tokken of current place is assigned, Then step 5.B6 is performed), otherwise, turn to step 5.B2);
Step 5.B6), return to the system loss probability S that the dynamic Tokken of current place is carrieds
4. the system comprehensive estimation method according to claim 1 based on colored Petri network, it is characterised in that the step It is rapid 5) in calculate system testing value and comprise the following steps that:
Step 5.C1), judge whether current transition meet trigger condition, step 3.C2 is continued executing with if met), otherwise, knot Beam computing system testability value;
Step 5.C2), the dynamic Tokken of initial place is delivered to next place, and Tokken in next place is taken by transition triggering The testability parameter value of band is put into the array of dynamic Tokken;
Step 5.C3), whether be final part place, if it is, to the value in testability array according to building if judging current place Vertical model is calculated, by the system testing value obtained by current calculateAssign the dynamic Tokken of current place and then perform step Rapid 5.C4), otherwise, turn to step 5.C1);
Step 5.C4), the testability value of return system
5. the system comprehensive estimation method according to claim 1 based on colored Petri network, it is characterised in that the step Rapid detailed step 8) is as follows:
Step 8.1), according to the Feasible degree that all parts are calculated with drag:
<mrow> <msub> <mi>V</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <msub> <mi>A</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>&amp;infin;</mi> <mo>)</mo> </mrow> <mo>&amp;CenterDot;</mo> <mover> <msub> <mi>T</mi> <mi>i</mi> </msub> <mo>~</mo> </mover> <mo>&amp;CenterDot;</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>S</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> </mrow>
Vi(t)=Ai(∞)·FDRi·FIRi·(1-FARi)·(1-Si)
In formula, Vi(t) it is Feasible degree of i-th of part in moment t, Ai(∞) is the Steady temperature field of part, SiFor part Loss probability;FDRi、FIRi、FARiThe respectively verification and measurement ratio of part, isolation rate and false-alarm Rate;
Step 8.2), according to the Feasible degree that whole system is calculated with drag:
<mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>V</mi> <mi>s</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <mi>A</mi> <msub> <mrow> <mo>(</mo> <mi>&amp;infin;</mi> <mo>)</mo> </mrow> <mi>s</mi> </msub> <mo>&amp;CenterDot;</mo> <mover> <msub> <mi>T</mi> <mi>s</mi> </msub> <mo>~</mo> </mover> <mo>&amp;CenterDot;</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>S</mi> <mi>s</mi> </msub> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mi>A</mi> <msub> <mrow> <mo>(</mo> <mi>&amp;infin;</mi> <mo>)</mo> </mrow> <mi>s</mi> </msub> <mo>&gt;</mo> <msub> <mi>A</mi> <mn>0</mn> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mover> <msub> <mi>T</mi> <mi>s</mi> </msub> <mo>~</mo> </mover> <mo>&gt;</mo> <mover> <msub> <mi>T</mi> <mn>0</mn> </msub> <mo>~</mo> </mover> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>S</mi> <mi>s</mi> </msub> <mo>&lt;</mo> <msub> <mi>S</mi> <mn>0</mn> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced>
<mrow> <mi>A</mi> <msub> <mrow> <mo>(</mo> <mi>&amp;infin;</mi> <mo>)</mo> </mrow> <mi>s</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>MTBF</mi> <mi>s</mi> </msub> </mrow> <mrow> <msub> <mi>MTBF</mi> <mi>s</mi> </msub> <mo>+</mo> <msub> <mi>MTTR</mi> <mi>s</mi> </msub> </mrow> </mfrac> </mrow> 2
<mrow> <mover> <msub> <mi>T</mi> <mi>s</mi> </msub> <mo>~</mo> </mover> <mo>=</mo> <mfrac> <mn>1</mn> <mi>n</mi> </mfrac> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <mover> <msub> <mi>T</mi> <mi>i</mi> </msub> <mo>~</mo> </mover> </mrow>
<mrow> <msub> <mi>S</mi> <mi>s</mi> </msub> <mo>=</mo> <mn>1</mn> <mo>-</mo> <munder> <mo>&amp;Pi;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mi>j</mi> </mrow> </munder> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>S</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> </mrow>
In formula, Vs(t) it is availability of the system in moment t;N is the number of system unit;A(∞)sFor the Feasible degree of system; MTBFsFor the MTBF of system;MTTRsFor the MTTR of system;For the testability parameter of system; SsFor the loss probability of system;A0It is the minimum requirements of system availability;It is the minimum requirements of testability value;S0It is that loss is general The maximum requirement of rate;J is the number of security-related serious part.
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