CN114240063B - Maintenance task executable interval determining method based on task duration tradeoff - Google Patents
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Abstract
The invention provides a maintenance task executable interval determining method based on task duration tradeoff, which comprises the following steps: selecting product maintenance tasks one by one, judging whether the maintenance tasks can meet the assumption that the repair is new, if the maintenance tasks cannot meet the assumption, maintaining the original maintenance interval of the maintenance tasks, if the maintenance tasks cannot meet the assumption, fitting failure rate functions of failure modes through analyzing failure data to represent occurrence rules of the failure rate functions, determining maintenance task duration parameters of the products, calculating maintenance task duration in average unit time, calculating average interval time of failures of the products, determining maintenance task duration bearable level, and considering the first balance factors and the second balance factors to determine a maintenance task executable interval. The invention expands the execution time of maintenance tasks to the interval range, is convenient for flexible combination during maintenance, improves the maintenance efficiency, does not need to wait for maintenance regulation, and has dynamic adjustment.
Description
Technical Field
The invention belongs to the technical field of product preventive maintenance task optimization, and particularly relates to a maintenance task executable interval determining method based on task duration tradeoff.
Background
The basic idea of the preventive maintenance task of the product is to execute a maintenance task with shorter time before the product breaks down, so that the reliability level of the product is kept at an acceptable level, and the time waste caused by repairing the fault is reduced. Therefore, in theory, the user only needs to carry out maintenance work according to the maintenance interval defined by each preventive maintenance task, but in practical application, because each maintenance affects the use of the product, the user hopes to execute the relevant preventive maintenance tasks (such as that the processes have sequential relation, the maintenance objects are located in the same area and the maintenance intervals are similar) as much as possible in one maintenance activity, thereby reducing the time of product shutdown maintenance and improving the use efficiency of the product, but the time of requiring shutdown maintenance is not excessively long, and the normal use of the product is affected. To achieve this objective, it is necessary to analyze the optimal executable interval of each preventive maintenance task from the viewpoint of the maintenance task duration, thereby providing input for the combination to form a maintenance task package.
Taking a civil aircraft as an example, the preventive mission is in the form of a planned maintenance requirement (SMR) as a continuous navigable file of the aircraft, listing the preventive maintenance mission and maintenance intervals that all maintenance subjects on the aircraft need to develop. As a user, the airline company must strictly adhere to maintenance intervals of various tasks specified in the SMR during operation of the aircraft, and it is absolutely impossible to delay execution of maintenance tasks. In order to reduce the occurrence of frequent shutdown and maintenance, when a specific maintenance scheme is manufactured, an airline company considers that a plurality of related maintenance tasks are combined (i.e., related maintenance tasks are executed in advance), but subsequent flying cannot be influenced, so that opportunities for post-flight inspection are generally fully utilized, and the reliability level of the aircraft is ensured. But currently, when formulating a particular maintenance regimen, it is often empirically determined that the selection of maintenance tasks lacks quantitative analysis or criteria. Therefore, in order to optimize the combined maintenance task package, it is urgent and necessary to find a maintenance task executable interval determination method based on task duration trade-offs.
Disclosure of Invention
Aiming at the defects in the prior art, the invention provides a maintenance task executable interval determining method based on task duration tradeoff. The method comprises the steps of selecting product maintenance tasks one by one and judging whether the maintenance tasks can meet the assumption that the maintenance tasks are new, if the maintenance tasks cannot meet the assumption, maintaining the original maintenance interval of the maintenance tasks, if the maintenance tasks cannot meet the assumption, fitting failure rate functions of failure modes through analyzing failure data to represent occurrence rules of the failure rate functions, determining maintenance task duration parameters of the products, calculating maintenance task duration in average unit time, calculating average interval time of failures of the products, determining maintenance task duration bearable level, and considering a first balance element and a second balance element to determine a maintenance task executable interval. The invention expands the execution time of maintenance tasks to the interval range, is convenient for flexible combination during maintenance, improves the maintenance efficiency, does not need to wait for maintenance regulation, and has dynamic adjustment.
The invention provides a maintenance task executable interval determining method based on task duration tradeoff, which comprises the following steps:
s1, selecting a product maintenance task, judging whether the product preventive maintenance task can meet the new assumption of repair by judging whether the failure rule of the product is unchanged after the maintenance task is executed each time, if yes, executing a step S2, otherwise, reselecting the product maintenance task;
S2, determining the occurrence rule of a product fault mode, wherein the occurrence rule of the fault mode i is represented by a failure rate function r i (t), acquiring a probability distribution function f i (t) of the fault mode i by using a hypothesis testing method through collecting historical data of occurrence time of the fault mode i, calculating a failure rate function r i (t) and judging whether r i (t) monotonically increases, if yes, executing a step S3, otherwise, executing a step S1;
S3, determining maintenance task duration parameters of the product: collecting and acquiring maintenance task duration parameters for each failure mode i of the product, wherein the maintenance task duration parameters comprise preventive maintenance task duration c i and repair maintenance task duration d i, if d i>ci is met, executing step S4, otherwise executing step S1; based on the maintenance task duration parameter, calculating maintenance task duration in the average unit time:
Wherein τ i represents the maintenance task duration per unit of usage time; e represents the desire; f i (t) represents a cumulative probability distribution function of the repair task corresponding to the failure mode i, an T represents the interval time of the maintenance task since the last maintenance task execution;
S4, calculating average interval time lambda i of product faults, and judging whether the average interval time lambda i meets the following conditions:
ri(∞)>di/λi(di-ci) (5);
if so, it is indicated that the formula (3) has a unique optimal solution And is deformed by itPerforming inverse solution to obtain and executing step S5; otherwise, the formula (3) shows that the optimal solution does not exist, and the/>I i represents the maximum maintenance interval of the maintenance task, and step S6 is executed;
S5, determining a maintenance task duration affordable level alpha i: by the expected value of the task duration in the minimum unit of using time Product with a positive number β i to characterize α i:
S6, determining a maintenance task executable interval L i: combining step S4, determining a maintenance task executable interval L i taking into account the first trade-off element and the second trade-off element;
S61, replacing the left end of the calculation formula (3) with alpha i, and obtaining a first solution tau i,l and a second solution tau i,u which meet the equation;
s62, if Then the maintenance task executable interval L i is [ τ i,l,Ii ], otherwise, step S63 is performed;
s63, comparing a first balance factor with a second balance factor, wherein the first balance factor is an optimal execution interval of the preventive maintenance task The second trade-off factor is the magnitude relation between the maintenance task duration affordable level alpha i and the preventive maintenance task duration expectation value E [ I i ] with respect to the maximum maintenance interval I i of the maintenance tasks given by the maintenance outline;
S64, if the maintenance tasks are simultaneously satisfied And α i<E[Ii ], then the maintenance task executable interval L i is [ τ i,l,τi,u ]; if the maintenance task only meets/>Then the maintenance task executable interval L i is [ τ i,l,Ii ]; if the maintenance task only meets alpha i<E[Ii, the executable interval L i of the maintenance task is I i; if the maintenance task does not meet/>Nor α i<E[Ii ], the maintenance task executable section L i is [ τ i,l,Ii ].
Further, the step S3 specifically includes the following steps:
S31, for a fault mode, executing a preventive maintenance task and consuming corresponding time, and taking an average value as a value of the preventive maintenance task time c i by collecting time data of the task;
S32, once the product fails due to the failure mode in the using process, executing the repairable maintenance task and consuming corresponding time, and taking the average value as the value of the repairable maintenance task time d i by collecting the time data of the task.
Preferably, the failure rate function r i (t) in the step S2 suggests using a weibull distribution calculation:
Preferably, the average interval time lambda i of the product failure in the step S4 is characterized by the expected time value of the failure mode occurrence:
Preferably, the step S1 specifically includes the following steps:
S11, based on task duration balance, the product is operated for a long time, namely the maintenance task duration in the average unit time under the condition of t & gtto & gtinfinity is equivalent to the expected task duration of the product in one maintenance period, and the preventive maintenance tasks are optimally executed at intervals The method comprises the following steps:
S12, judging whether the failure rule of the product is kept unchanged after each execution of the maintenance task i, if so, establishing the formula (1), and executing the step S2, otherwise, the maintenance task duration in each maintenance period of the whole life cycle fluctuates, and if not, the formula (1) is not established, namely, the assumption that the repair is as new is not satisfied, and reselecting the product maintenance task.
Preferably, the positive number β i in the step S5 is determined according to the failure probability and the influence degree of the failure mode and β i e 1, + -infinity), if a failure with a small occurrence probability and a small degree of influence of failure occurs, β i =1; otherwise, beta i is more than 1.
Preferably, the first solution τ i,l and the second solution τ i,u in the step S61 satisfy the relationship τ i,l<τi,u.
Preferably, if there is a proper chance that the preventive maintenance task can be packaged in combination with the related maintenance task within the maintenance task executable interval L i, it is recommended to execute the task in advance without waiting for maintenance to be performed again by the time of the maintenance outline prescribed I i.
Compared with the prior art, the invention has the technical effects that:
1. According to the maintenance task executable interval determining method based on task duration balance, the execution time of the maintenance tasks is expanded to an interval range from a time point, input can be provided for a user to compile a combination scheme of a plurality of maintenance tasks, efficiency deterioration caused by the fact that the maintenance tasks are combined by experience alone is avoided, and maintenance is not required to be performed after the maintenance outline is defined.
2. The maintenance task executable interval determining method based on task duration balance is driven by data including task duration data and fault data, has dynamic adjustment, can provide input for maintenance task combination in stages along with the gradual curing of an operation mode and maintenance tasks in the product using process, and lays a foundation for dynamically adjusting a maintenance scheme.
Drawings
Other features, objects and advantages of the present application will become more apparent upon reading of the detailed description of non-limiting embodiments made with reference to the following drawings.
FIG. 1 is a flow chart of a method of determining a maintenance task executable interval based on task duration tradeoff of the present invention;
FIG. 2 is a schematic diagram of a first executable interval of a maintenance task according to the present invention;
FIG. 3 is a schematic illustration of a second type of executable interval of the maintenance task of the present invention;
FIG. 4 is a schematic diagram of a third executable interval of a maintenance task according to the present invention;
FIG. 5 is a schematic diagram of a fourth executable interval of a maintenance task according to the present invention;
FIG. 6 is a schematic diagram of a fifth executable interval of the maintenance task of the present invention.
Detailed Description
The application is described in further detail below with reference to the drawings and examples. It is to be understood that the specific embodiments described herein are merely illustrative of the application and are not limiting of the application. It should be noted that, for convenience of description, only the portions related to the present application are shown in the drawings.
It should be noted that, without conflict, the embodiments of the present application and features of the embodiments may be combined with each other. The application will be described in detail below with reference to the drawings in connection with embodiments.
FIG. 1 illustrates a maintenance task executable interval determination method based on task duration tradeoff of the present invention, comprising the steps of:
S1, selecting a product maintenance task, judging whether the product preventive maintenance task can meet the new assumption of repair by judging whether the failure rule of the product is unchanged after the maintenance task is executed each time, if yes, executing the step S2, otherwise, reselecting the product maintenance task.
S11, based on task duration balance, the product is operated for a long time, namely the maintenance task duration in the average unit time under the condition of t & gtto & gtinfinity is equivalent to the expected task duration of the product in one maintenance period, and the preventive maintenance tasks are optimally executed at intervalsThe method comprises the following steps:
Wherein I i represents a maintenance task maximum maintenance interval; τ i represents the maintenance task duration per unit of use time; e represents the desire; t represents the interval time since the last maintenance task was performed.
S12, judging whether the failure rule of the product is kept unchanged after the maintenance task i is executed each time, if so, establishing the formula (1), namely, meeting the assumption that the product is repaired like a new one, executing the step S2, otherwise, carrying out fluctuation on the maintenance task duration in each maintenance period of the whole life cycle, and if not, establishing the formula (1), namely, not meeting the assumption that the product is repaired like the new one, and reselecting the product maintenance task.
S2, determining the occurrence rule of a product fault mode, wherein the occurrence rule of the fault mode i is represented by a failure rate function r i (t), acquiring a probability distribution function f i (t) of the fault mode i by using a hypothesis testing method through collecting historical data of occurrence time of the fault mode i, calculating a failure rate function r i (t) and judging whether r i (t) monotonically increases, if yes, executing a step S3, otherwise, executing a step S1, and suggesting that Weibull distribution calculation is adopted by the failure rate function r i (t):
Wherein F i (t) represents a cumulative probability distribution function of the repair task corresponding to the failure mode i and
S3, determining maintenance task duration parameters of the product: and collecting and acquiring maintenance task duration parameters for each failure mode i of the product, wherein the maintenance task duration parameters comprise preventive maintenance task duration c i and repairable maintenance task duration d i, if d i>ci is met, executing step S4, and otherwise, executing step S1.
S31, for the fault mode, a preventive maintenance task is executed and corresponding time is consumed, and the average value is used as the value of the preventive maintenance task time c i by collecting the time data of the task.
S32, once the product fails due to the failure mode in the using process, executing the repairable maintenance task and consuming corresponding time, and taking the average value as the value of the repairable maintenance task time d i by collecting the time data of the task.
Based on the maintenance task duration parameter, calculating maintenance task duration in the average unit time:
s4, calculating average interval time lambda i of product faults, and representing the average interval time lambda i by using a time expected value of fault mode occurrence:
Judging whether the following conditions are satisfied:
ri(∞)>di/λi(di-ci) (5)。
if so, it is indicated that the formula (3) has a unique optimal solution And is deformed by itPerforming inverse solution to obtain and executing step S5; otherwise, indicating that the formula (3) does not have an optimal solution, takingStep S6 is performed.
S5, determining a maintenance task duration affordable level alpha i: by the expected value of the task duration in the minimum unit of using timeProduct with a positive number β i to characterize α i:
The positive number beta i is determined according to the failure probability and the influence degree of the failure mode, and beta i epsilon [1, + -infinity), if the failure is a failure with small occurrence probability and light failure influence degree, beta i =1 is taken; otherwise, beta i is more than 1.
S6, determining a maintenance task executable interval L i: in connection with step S4, a maintenance task executable interval L i is determined taking into account both the first trade-off element and the second trade-off element.
S61, replacing the left end of the calculation formula (3) with alpha i, obtaining a first solution tau i,l and a second solution tau i,u which meet the equation, and meeting the relation tau i,l<τi,u.
S62, ifThe maintenance task executable section L i is [ τ i,l,Ii ], as shown in fig. 6, otherwise step S63 is performed.
S63, comparing the first weighing element with the second weighing element, wherein the first weighing element is the optimal execution interval of the preventive maintenance taskThe second trade-off factor is the magnitude relationship of the maintenance task duration affordable level a i and the preventive maintenance task duration expectation value E I i, relative to the maximum maintenance interval I i of the maintenance tasks given by the maintenance outline.
S64, if the maintenance tasks are simultaneously satisfiedAnd α i<E[Ii ], then the maintenance task executable interval L i is [ τ i,l,τi,u ], as shown in fig. 2; if the maintenance task only meets/>Then the maintenance task executable interval L i is [ τ i,l,Ii ], as shown in fig. 3; if the maintenance task only satisfies α i<E[Ii ], the maintenance task executable interval L i is I i, as shown in fig. 4; if the maintenance task does not meet/>Nor α i<E[Ii ], the maintenance task executable interval L i is [ τ i,l,Ii ], as shown in fig. 5.
The invention is described in further detail below in connection with the maintenance tasks of an aircraft.
S1, selecting a product maintenance task. Taking an aircraft as an example, assume that the preventive maintenance tasks to be analyzed are: every 400 flight hours, the fuses at the connection part of the inlet of the air supply connectors of the two oxygen concentrators and the filter are disassembled and scrapped, the guide pipe connected with the filter is disassembled, the filter is disassembled from the oxygen concentrator connectors and scrapped, and a new filter is screwed on the oxygen concentrator connectors. The task is a scrapped task, and the replaced part is a new part, so that the repair such as a new assumption is satisfied.
S2, determining occurrence rules of the failure modes of the product, wherein the occurrence rules of the failure modes i are represented by failure rate functions r i (t).
First, statistics on historical failure data of the filter are required, and 38 items of data are collected in total, as shown in table 1.
TABLE 1
In one embodiment, the Kelmogorov-Scollov K-S test is used to verify whether the data can be characterized by an exponential distribution, a lognormal distribution, and a Weibull distribution. The p-value (reflecting significance) and H-value obtained are shown in table 2. Wherein, the larger the p value is, the more the distribution type can reflect the filter failure rule; the original assumption is accepted when H is 0, and the original assumption is rejected when H is 1. It can be seen that the log-normal and weibull distributions are more consistent with filter failure rules. Further, the smaller and better the BIC criterion is utilized, the finally selected distribution type is determined to be Weibull distribution, and the parameters are obtained as follows: the scale parameter η=311, the shape parameter δ=4.8.
TABLE 2
The obtainable efficiency function is:
ri(t)=η·δ·(ηt)δ-1=C·t3.8 (7)
Wherein C is a constant and C.apprxeq.4.times.10 12. Thus, r i (t) is a monotonically increasing function.
S3, determining maintenance task duration parameters of the product: and counting the generation in all preventive maintenance tasks executed by the product up to the current moment and the repair maintenance tasks executed after 38 faults occur, and obtaining the preventive maintenance task duration c i =150 and the repair maintenance task duration d i =400 according to the average value to meet the condition of c i<di.
S4, calculating the optimal execution interval of preventive maintenance tasksSince the filter failure rule is determined to follow the Weibull distribution in the step S2, the average interval time/>, of the product failure is obtainedAnd then, by combining the failure rate function obtained in the step S2, it can be judged that the condition of r i(∞)>di/λi(di-ci) about 552 can be satisfied. So that the only optimal solution of the formula (3) is/>The results indicate that from an economic point of view, preventive maintenance tasks of scrapped filter replacement should be performed once per 205 flight hours. This is mainly due to the fact that the time period for changing the filter in a preventive maintenance task is significantly less than that determined by the time period for changing the filter in a reparative maintenance task.
S5, determining a maintenance task duration affordable level alpha i: from equation (3)In one embodiment, the coefficient β i =1.15 determined according to the occurrence probability and the influence degree of the filter failure, so α i =1.17 can be obtained.
S6, determining a maintenance task executable interval L i: optimal execution interval of preventive maintenance tasks in first trade-off elementLess than the maximum maintenance interval I i = 400 of the maintenance tasks given by the maintenance outline, satisfies/>In connection with equation (3), the expected maintenance task duration at the current maintenance interval in the second trade-off element is E [ I i]=1.25(Ii = 400), which is higher than the maintenance task duration affordable level a i, satisfies a i<E[Ii ]. Thus, the maintenance task executable section L i is [ τ i,l,τi,u ].
Optimal execution interval of preventive maintenance taskThe left end of the calculation formula (3) is replaced by eτ i =1.17, and τ i,l =140 and τ i,u =310 are obtained by solving, so that the maintenance task can be executed in the interval L i = [140,310).
The explanation of this conclusion in engineering applications is: when a completely new filter is installed in an aircraft, the maintenance task expectations of the component meet the user's acceptable level when the number of flying hours used is within the range of L i = [140,310 ]. Thus, if there is a proper chance to package the preventive maintenance task in combination with the related maintenance task in this interval, it is recommended that the user can perform this task in advance without waiting for replacement when I i = 400 defined in the maintenance outline. This conclusion can provide an important reference for users to compile repair schemes.
According to the maintenance task executable interval determining method based on task duration balance, the execution time of the maintenance tasks is expanded to an interval range from a time point, input can be provided for a user to compile a combination scheme of a plurality of maintenance tasks, efficiency deterioration caused by the fact that the maintenance tasks are combined by experience alone is avoided, and maintenance is not required to be performed after the maintenance outline is defined; the system is driven by data including task duration data and fault data, has dynamic adjustment, can provide input for maintenance task combination in stages along with the gradual curing of the operation mode and maintenance task in the use process of the product, and lays a foundation for dynamically adjusting the maintenance scheme.
Finally, what should be said is: the above embodiments are merely for illustrating the technical aspects of the present invention, and it should be understood by those skilled in the art that although the present invention has been described in detail with reference to the above embodiments: modifications and equivalents may be made thereto without departing from the spirit and scope of the invention, which is intended to be encompassed by the claims.
Claims (8)
1. A method for determining a maintenance task executable interval based on task duration trade-off, comprising the steps of:
S1, selecting product maintenance tasks one by one, judging whether the product preventive maintenance tasks can meet the new assumption of repair by judging whether the failure rule of the product is unchanged after the maintenance tasks are executed each time, if yes, executing the step S2, otherwise, maintaining the original maintenance interval of the maintenance tasks;
S2, determining the occurrence rule of a product fault mode, wherein the occurrence rule of the fault mode i is represented by a failure rate function r i (t), acquiring a probability distribution function f i (t) of the fault mode i by using a hypothesis testing method through collecting historical data of occurrence time of the fault mode i, calculating a failure rate function r i (t) and judging whether r i (t) monotonically increases, if yes, executing a step S3, otherwise, executing a step S1;
S3, determining maintenance task duration parameters of the product: collecting and acquiring maintenance task duration parameters for each failure mode i of the product, wherein the maintenance task duration parameters comprise preventive maintenance task duration c i and repair maintenance task duration d i, if d i>ci is met, executing step S4, otherwise executing step S1; based on the maintenance task duration parameter, calculating maintenance task duration in the average unit time:
Wherein τ i represents the maintenance task duration per unit of usage time; e represents the desire; f i (t) represents a cumulative probability distribution function of the repair task corresponding to the failure mode i, an T represents the interval time of the maintenance task since the last maintenance task execution;
S4, calculating average interval time lambda i of product faults, and judging whether the average interval time lambda i meets the following conditions:
ri(∞)>di/λi(di-ci) (5);
if so, it is indicated that the formula (3) has a unique optimal solution And is deformed by itPerforming inverse solution to obtain and executing step S5; otherwise, the formula (3) shows that the optimal solution does not exist, and the/>I i represents the maximum maintenance interval of the maintenance task, and step S6 is executed;
S5, determining a maintenance task duration affordable level alpha i: by the expected value of the task duration in the minimum unit of using time Product with a positive number β i to characterize α i:
S6, determining a maintenance task executable interval L i: combining step S4, determining a maintenance task executable interval L i taking into account the first trade-off element and the second trade-off element;
S61, replacing the left end of the calculation formula (3) with alpha i, and obtaining a first solution tau i,l and a second solution tau i,u which meet the equation;
s62, if Then the maintenance task executable interval L i is [ τ i,l,Ii ], otherwise, step S63 is performed;
s63, comparing a first balance factor with a second balance factor, wherein the first balance factor is an optimal execution interval of the preventive maintenance task The second trade-off factor is the magnitude relation between the maintenance task duration affordable level alpha i and the preventive maintenance task duration expectation value E [ I i ] with respect to the maximum maintenance interval I i of the maintenance tasks given by the maintenance outline;
S64, if the maintenance tasks are simultaneously satisfied And α i<E[Ii ], then the maintenance task executable interval L i is [ τ i,l,τi,u ]; if the maintenance task only meets/>Then the maintenance task executable interval L i is [ τ i,l,Ii ]; if the maintenance task only meets alpha i<E[Ii, the executable interval L i of the maintenance task is I i; if the maintenance task does not meet/>Nor α i<E[Ii ], the maintenance task executable section L i is [ τ i,l,Ii ].
2. The method for determining a maintenance task executable interval based on task duration trade-off according to claim 1, wherein said step S3 specifically comprises the steps of:
S31, for a fault mode, executing a preventive maintenance task and consuming corresponding time, and taking an average value as a value of the preventive maintenance task time c i by collecting time data of the task;
S32, once the product fails due to the failure mode in the using process, executing the repairable maintenance task and consuming corresponding time, and taking the average value as the value of the repairable maintenance task time d i by collecting the time data of the task.
3. The method for determining a maintenance task executable interval based on task duration trade-off according to claim 1, wherein said failure rate function r i (t) in said step S2 suggests using a weibull distribution calculation:
4. the method for determining a maintenance task executable interval based on task duration trade-off according to claim 1, wherein the average interval time λ i of product failure in step S4 is characterized by a time expectation value of failure mode occurrence:
5. The method for determining a maintenance task executable interval based on task duration trade-off according to claim 1, wherein said step S1 specifically comprises the steps of:
S11, based on task duration balance, the product is operated for a long time, namely the maintenance task duration in the average unit time under the condition of t & gtto & gtinfinity is equivalent to the expected task duration of the product in one maintenance period, and the preventive maintenance tasks are optimally executed at intervals The method comprises the following steps:
S12, judging whether the failure rule of the product is kept unchanged after each execution of the maintenance task i, if so, establishing the formula (1), and executing the step S2, otherwise, the maintenance task duration in each maintenance period of the whole life cycle fluctuates, and if not, the formula (1) is not established, namely, the assumption that the repair is as new is not satisfied, and reselecting the product maintenance task.
6. The method for determining a maintenance task executable interval based on task duration tradeoff of claim 1 wherein, the positive number beta i in the step S5 is determined according to the failure probability and the influence degree of the failure mode, and beta i epsilon [1, + -infinity), if a failure with a small occurrence probability and a small degree of influence of failure occurs, β i =1; otherwise, beta i is more than 1.
7. The maintenance task executable interval determination method based on task duration tradeoff of claim 1 wherein the first solution τ i,l and the second solution τ i,u satisfy a relationship τ i,l<τi,u in step S61.
8. The method for determining a maintenance task executable interval based on task duration trade-off according to claim 1, wherein if the preventive maintenance task and the related maintenance task can be combined and packed in the maintenance task executable interval L i, the task is executed in advance without waiting for the maintenance to be performed again when the maintenance is defined by the maintenance outline I i.
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