CN108133308A - Complication system method for maintaining based on cost importance - Google Patents
Complication system method for maintaining based on cost importance Download PDFInfo
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- CN108133308A CN108133308A CN201711263360.0A CN201711263360A CN108133308A CN 108133308 A CN108133308 A CN 108133308A CN 201711263360 A CN201711263360 A CN 201711263360A CN 108133308 A CN108133308 A CN 108133308A
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Abstract
The invention discloses a kind of complication system method for maintaining based on cost importance, for solving the technical issues of existing complication system method for maintaining efficiency is low.Technical solution is to be combined Birnbaum importances with modular repair cost analysis, first according to the operation principle of complication system and structure, determines the structure function of system and records the reliability information of various components in complication system;Secondly, system reliability lifting capacity caused by the maintenance cost and assembly reliability of analytic unit reliability lifting process are promoted;Then, from the cost importance calculation method of the maximized angle-determining component of unit cost system reliability lifting capacity, and the cost importance of component is ranked up;Finally, the complication system quick maintenance method based on component replacement analysis replaces component repeatedly, until system reliability requirement as defined in satisfaction, obtains efficient and economic rapid-maintenance scheme.
Description
Technical field
The present invention relates to a kind of complication system method for maintaining, more particularly to a kind of complication system dimension based on cost importance
Repair method.
Background technology
Document " application number is 201710233331.3 Chinese invention patent " discloses a kind of based on Wind turbines component
The method for maintaining and device of importance evaluation ".Pass through the important level of divided parts and the set of factors of evaluation, computation interval first
Grey fuzzy matrix;Secondly, it according to section Analytic hierarchy process, calculates each factor and is directed to Wind turbines Degrees of Importance of Components and comment
The weight of valency determines the weight matrix of set of factors;Then, on the basis of OWA operators, according to Interval numbers grey fuzzy matrix and
The weight matrix of set of factors determines the component important level belonging to Wind turbines component, and according to belonging to Wind turbines component
Component important level determines corresponding maintenance policy.But there is no carry out essence to wind turbine component operation conditions for this method
True quantitative analysis;Meanwhile this method does not account for influence of the cost to maintenance effect of method for maintaining;Therefore it can not obtain
Efficient and economic maintenance program.
Invention content
In order to overcome the shortcomings of that existing complication system method for maintaining efficiency is low, the present invention provides a kind of based on cost importance
Complication system method for maintaining.Birnbaum importances are combined by this method with modular repair cost analysis, first according to multiple
The operation principle and structure of miscellaneous system determine the structure function of system and record the reliability letter of various components in complication system
Breath;Secondly, system reliability is promoted caused by the maintenance cost and assembly reliability of analytic unit reliability lifting process are promoted
Amount;Then, from the cost importance calculation method of the maximized angle-determining component of unit cost system reliability lifting capacity, and
The cost importance of component is ranked up;Finally, based on the complication system quick maintenance method of component replacement analysis to component
It is replaced repeatedly, until system reliability requirement as defined in satisfaction, obtains efficient and economic rapid-maintenance scheme.
The technical solution adopted by the present invention to solve the technical problems:A kind of complication system repair based on cost importance
Method, its main feature is that including the following steps:
Step 1: according to the operation principle and structure of complication system, the structure function R (p of system are determined1,…,pi,…,
pn)。
Step 2: determine and record the reliability information of various components in complication system.
Step 3: the maintenance cost of analytic unit reliability lifting process.
Assuming that the selling price of component is identical, the unit reliability of component promotes cost and maximum reliability lifting capacity into anti-
Than.When the reliability lifting capacity of component i is Δ piWhen, the maintenance cost of component i is:
Ci=Δ pi·C0/Δpmi (1)
Wherein, C0For the purchasing price of each component, Δ pmiFor the maximum reliability lifting capacity of component i, component i's is reliable
Property lifting capacity be Δ pi(0≤Δpi≤Δpmi)。
Step 4: system reliability lifting capacity caused by the promotion of analytic unit reliability.
If component i reliabilities promote Δ piAfterwards, then the variable quantity of system reliability is:
Wherein, R (p1,…,pi,…,pn) be complication system structure function;(IBM)iRepresent the Birnbaum weights of component i
It spends;Represent system reliability function pair piSeek partial derivative;R(p1,p2,…,1i,…,pn) it is component
System reliability when i reliabilities are 1;R(p1,p2,…,0i,…,pn) be component i reliabilities be 0 when system reliability.
Step 5: from the maximized angle of unit cost system reliability lifting capacity, various components in complication system are determined
Cost importance calculation method.
From the maximized angle of unit cost system reliability lifting capacity, when component i reliabilities promote Δ piWhen, component i
Cost importanceFor:
Step 6: the cost importance of component in complication system is ranked up according to sequence from big to small.
Step 7: the complication system quick maintenance method based on component replacement analysis, determines complication system maintenance program.Its
Idiographic flow is as follows:
1. according to Complex System Reliability structure function, the existing reliability R of computing systemc;
2. judge the existing reliability R of systemcWith defined system reliability R0Between relationship.If Rc< R0, then hold
The subsequent component replacement operation of row;If Rc> R0, then not executive module replacement operation, and record the position for replacing component and
System is existing.
3. in complication system, the component of cost importance maximum is found, replaces component, and record the position of corresponding assembly
Information.
4. calculate replace component after system reliability, and back to step 2., repeatedly perform step 2. with step 3., directly
To system reliability R as defined in system reliability satisfaction0。
5. determine complication system rapid-maintenance scheme.Record replaces the location information of component and performs replacement operation
The reliability of system afterwards.
The beneficial effects of the invention are as follows:Birnbaum importances are combined by this method with modular repair cost analysis, first
First according to the operation principle and structure of complication system, what is determined the structure function of system and record various components in complication system can
By property information;Secondly, system caused by the maintenance cost and assembly reliability of analytic unit reliability lifting process are promoted is reliable
Property lifting capacity;Then, it is calculated from the cost importance of the maximized angle-determining component of unit cost system reliability lifting capacity
Method, and the cost importance of component is ranked up;Finally, the complication system quick maintenance method based on component replacement analysis
Component is replaced repeatedly, until system reliability requirement as defined in satisfaction, obtains efficient and economic rapid-maintenance scheme.
By cost Significance Analysis, the deficiency that importance evaluation is separated from each other by complication system method for maintaining with maintenance cost is made up;
Meanwhile complication system " periodic maintenance " is effectively solved using iteratively substituted method or " correction maintenance " is caused " excessively repair "
The problem of " lacking repair ".
It elaborates with reference to the accompanying drawings and detailed description to the present invention.
Description of the drawings
Fig. 1 is the flow chart of the complication system method for maintaining the present invention is based on cost importance.
Fig. 2 is production line monitoring system distribution map in the specific embodiment of the invention.
The flow chart of quick maintenance method based on component replacement analysis in Fig. 3 Fig. 1.
Specific embodiment
With reference to Fig. 1-3.Complication system method for maintaining the present invention is based on cost importance is as follows:
Step 1: determining the operation principle and structure of production line monitoring system according to production line monitoring system, system is determined
Structure function R (p1,…,pi,…,pn)=R (n;k).
It is to take 2 systems in a typical LINEAR CONTINUOUS n to produce line monitoring system.It is wrapped in a typical monitoring system
Containing n monitor, equidistant both sides for being arranged in production line, when continuous at least two monitor fails, monitoring system is lost
Effect.In line monitoring system is produced, it is assumed that the state of all components only works and two kinds of failure, and k systems are taken in LINEAR CONTINUOUS n
Reliability structure functionWherein, n is component in system
Number;K is the number of continuous failed component;R(j;K) it represents to take k systems in the LINEAR CONTINUOUS j formed to component j for component 1
The reliability of system;pn-kIt is the reliability of component n-k;qi=1-piRepresent the unreliability of component.Refer to the attached drawing 3, n=12, k=
2。
Step 2: determine the reliability information of 12 components in production line monitoring system.
It determines the reliability of 12 components in production line monitoring system, and is denoted as (p1,…,pi,…,p12)=(0.9189,
0.9217,0.8867,0.9422,0.8786,0.8605,0.8116,0.8181,0.8037,0.9496,0.9435,
0.9405)。
Step 3: the maintenance cost of analytic unit reliability lifting process.
Assuming that the selling price of component is identical, the unit reliability of component promotes cost and maximum reliability lifting capacity into anti-
Than.When the purchasing price of each component is C0, the maximum reliability lifting capacity of component i is Δ pmi, when the reliability of component i is promoted
It measures as Δpi(0≤Δpi≤Δpmi) when, then the maintenance cost C of component iiFor Ci=Δ pi·C0/Δpmi.Work as C0=1, Δ pmi=
When 0.99, the reliability maximum lift amount of component for (0.0711,0.0683,0.1033,0.0478,0.1114,0.1295,
0.1784,0.1719,0.1863,0.0404,0.0465,0.0495).As the reliability lifting capacity Δ p of component iiWhen, then 12
The maintenance cost that the reliability of component is promoted is (Δ p1/0.0711,Δp2/0.0683,Δp3/0.1033,Δp4/0.0478,
Δp5/0.1114,Δp6/0.1295,Δp7/0.1784,Δp8/0.1719,Δp9/0.1863,Δp10/0.0404,Δp11/
0.0465,Δp12/0.0495)。
Step 4: system reliability lifting capacity caused by the promotion of analytic unit reliability.
Step 5: from the maximized angle of unit cost system reliability lifting capacity, monitoring system is determined according to formula (3)
The cost importance calculation method of middle various components.
According to formula (3), the cost importance of 12 components in monitoring system is calculated, obtains Ic=(0.0044,
0.0108,0.0109,0.0085,0.0163,0.0304,0.0421,0.0515,0.0329,0.0076,0.0040,
0.0023)。
Step 6: the cost importance of 12 components in monitoring system is ranked up according to sequence from big to small.
According to the cost importance size of 12 components obtained in step 5, the importance sorting of component:Component 8>Component
7>Component 9>Component 6>Component 5>Component 3>Component 2>Component 4>Component 10>Component 1>Component 11>Component 12.
Step 7: the complication system quick maintenance method based on component replacement analysis, determines that production line monitors system maintenance
Scheme.Its idiographic flow is as follows:
1. system reliability structure function, the existing reliability R of computing system are monitored according to production linec=0.8661;
2. judge the existing reliability R of monitoring systemcWith defined system reliability R0Between relationship.It is assuming that defined
System reliability R0=0.98, R at this timec< R0, then subsequent component replacement operation is performed.
3. in line monitoring system is produced, the component of cost importance maximum is found, component is replaced and records phase
Answer the location information of component.According to implementation steps 6, component 8 is replaced.
4. calculate replace component after system reliability, and back to step 2., repeatedly perform step 2. with step 3., directly
To system reliability R as defined in system reliability satisfaction0。
Replace the reliability of component in monitoring system after component 8 for (0.9189,0.9217,0.8867,0.9422,
0.8786,0.8605,0.8116,0.99,0.8037,0.9496,0.9435,0.9405);The maximum of component can in monitoring system
By property lifting capacity for (0.0711,0.0683,0.1033,0.0478,0.1114,0.1295,0.1784,0,0.186 3,
0.0404,0.0465,0.0495);Replaced monitoring system reliability is Rc=0.917566, Rc< R0.It calculates and is supervised after replacing
In examining system the cost importance of component for (0.0046,0.0115,0.0116,0.0090,0.0169,0.0348,0.0222,
0,0.0096,0.0089,0.0042,0.0025), obtaining component 6 by sequence has maximum component cost importance, replaces
Component 6, and record and replace component 8-6.
Replace the reliability of component in monitoring system after component 8 for (0.9189,0.9217,0.8867,0.9422,
0.8786,0.99,0.8116,0.99,0.8037,0.9496,0.9435,0.9405);The maximum positive of component in monitoring system
Property lifting capacity for (0.0711,0.0683,0.1033,0.0478,0.1114,0,0.1784,0,0.1863,0.0 404,
0.0465,0.0495);The reliability that system is monitored after replacement is Rc=0.952356, Rc< R0.Calculate component in monitoring system
Cost importance for (0.0048,0.0119,0.0120,0.0099,0.0064,0,0.0029,0,0.0100,0.0 093,
0.0044,0.0026), obtaining component 3 by sequence has maximum component cost importance, replaces component 3, and record replacement
Component is 8-6-3.
Replace the reliability of component in monitoring system after component 3 for (0.9189,0.9217,0.99,0.9422,0.8786,
0.99,0.8116,0.99,0.8037,0.9496,0.9435,0.9405);The maximum reliability of component is promoted in monitoring system
Measure for (0.0711,0.0683,0,0.0478,0.1114,0,0.1784,0,0.1863,0.0404,0 .0465,0.0495];It replaces
The reliability that system is monitored after changing is Rc=0.964314.Due to Rc< R0, calculate the cost weight of component in monitoring system after replacing
It spends for (0.0054,0.0060,0,0.0060,0.0070,0,0.0029,0,0.0101,0.0094,0.0044,0.0026),
Obtaining component 9 by sequence has maximum component cost importance, replaces component 9, and it is 8-6-3-9 to record replacement component.
After replacement in monitoring system assembly reliability for (0.9189,0.9217,0.99,0.9422,0.8786,0.99,
0.8116,0.99,0.99,0.9496,0.9435,0.9405);After replacement in monitoring system component maximum reliability lifting capacity
For (0.0711,0.0683,0,0.0478,0.1114,0,0.1784,0,0,0.0404,0.0465,0.0495);It is supervised after replacement
The reliability of examining system is Rc=0.974412, Rc< R0.The cost importance of component is in monitoring system after calculating is replaced
(0.0054,0.0060,0,0.0060,0.0071,0,0.0033,0,0,0.0025,0.0049,0.0026), by sorting
To component 5 there is maximum component cost importance, replace component 5, it is 8-6-3-9-5 that record, which replaces component,.
Assembly reliability after replacement in monitoring system for (0.9189,0.9217,0.99,0.9422,0.99,0.99,
0.8116,0.99,0.99,0.9496,0.9435,0.9405);After replacement in monitoring system component maximum reliability lifting capacity
For (0.0711,0.0683,0,0.0478,0,0,0.1784,0,0,0.0404,0.0465,0.04 95];Replaced system can
It is R by propertyc=0.981521, Rc> R0, do not need to replace component again, and record and replace component as 8-6-3-9-5.
5. determine complication system rapid-maintenance scheme.Meet the production monitoring system rapid-maintenance of regulation system reliability
Scheme is:The component on 8-6-3-9-5 positions is replaced, the reliability of system is 0.981521 after replacement.
Claims (1)
1. a kind of complication system method for maintaining based on cost importance, it is characterised in that include the following steps:
Step 1: according to the operation principle and structure of complication system, the structure function R (p of system are determined1,…,pi,…,pn);
Step 2: determine and record the reliability information of various components in complication system;
Step 3: the maintenance cost of analytic unit reliability lifting process;
Assuming that the selling price of component is identical, the unit reliability of component promotes cost and is inversely proportional with maximum reliability lifting capacity;
When the reliability lifting capacity of component i is Δ piWhen, the maintenance cost of component i is:
Ci=Δ pi·C0/Δpmi (1)
Wherein, C0For the purchasing price of each component, Δ pmiFor the maximum reliability lifting capacity of component i, the reliability of component i carries
Rising amount is Δ pi(0≤Δpi≤Δpmi);
Step 4: system reliability lifting capacity caused by the promotion of analytic unit reliability;
If component i reliabilities promote Δ piAfterwards, then the variable quantity of system reliability is:
Wherein, R (p1,…,pi,…,pn) be complication system structure function;(IBM)iRepresent the Birnbaum importances of component i;Represent system reliability function pair piSeek partial derivative;R(p1,p2,…,1i,…,pn) it is that component i is reliable
Property be 1 when system reliability;R(p1,p2,…,0i,…,pn) be component i reliabilities be 0 when system reliability;
Step 5: from the maximized angle of unit cost system reliability lifting capacity, determine various components in complication system into
This importance calculation method;
From the maximized angle of unit cost system reliability lifting capacity, when component i reliabilities promote Δ piWhen, the cost of component i
ImportanceFor:
Step 6: the cost importance of component in complication system is ranked up according to sequence from big to small;
Step 7: the complication system quick maintenance method based on component replacement analysis, determines complication system maintenance program;
Its idiographic flow is as follows:
1. according to Complex System Reliability structure function, the existing reliability R of computing systemc;
2. judge the existing reliability R of systemcWith defined system reliability R0Between relationship;If Rc< R0, then after performing
Continuous component replacement operation;If Rc> R0, then not executive module replacement operation, and record the position for replacing component and system
It is existing;
3. in complication system, the component of cost importance maximum is found, replaces component, and records the position letter of corresponding assembly
Breath;
4. calculate replace component after system reliability, and back to step 2., repeatedly perform step 2. with step 3., until being
Unite system reliability R as defined in reliable sexual satisfaction0;
5. determine complication system rapid-maintenance scheme;Record replaces the location information of component and is after performing replacement operation
The reliability of system.
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Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN109146092A (en) * | 2018-08-02 | 2019-01-04 | 广州机械科学研究院有限公司 | One-of-a-kind system maintaining method and device |
CN109389229A (en) * | 2018-10-15 | 2019-02-26 | 苏州热工研究院有限公司 | It take technology analysis as the I &C equipment maintenance policy analysis method of guiding |
CN112307652A (en) * | 2020-12-31 | 2021-02-02 | 成都飞机工业(集团)有限责任公司 | Quick maintenance method for complex equipment system based on average remaining life importance |
-
2017
- 2017-12-05 CN CN201711263360.0A patent/CN108133308A/en active Pending
Cited By (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN109146092A (en) * | 2018-08-02 | 2019-01-04 | 广州机械科学研究院有限公司 | One-of-a-kind system maintaining method and device |
CN109389229A (en) * | 2018-10-15 | 2019-02-26 | 苏州热工研究院有限公司 | It take technology analysis as the I &C equipment maintenance policy analysis method of guiding |
CN112307652A (en) * | 2020-12-31 | 2021-02-02 | 成都飞机工业(集团)有限责任公司 | Quick maintenance method for complex equipment system based on average remaining life importance |
CN112307652B (en) * | 2020-12-31 | 2021-03-09 | 成都飞机工业(集团)有限责任公司 | Quick maintenance method for complex equipment system based on average remaining life importance |
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Application publication date: 20180608 |