| ALLOCATING REPAIRABLE SYSTEM＇S RELIABILITY SUBJECT TO MINIMAL TOTAL COST - AN INTEGER PROGRAMMING APPROACH |
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| 作者单位： | Department of |
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| 基金项目： | Acknowledgement The author would like to thank the Managing Editor and the referees for their sincere efforts to improve the quality of this paper and for their valuable comments and suggestions. |
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| 摘 要： | Reliability allocation problem is commonly treated using a closed-form expression relating the cost to reliability. A recent approach has introduced the use of discrete integer technique for un-repairable systems. This research addresses the allocation problem for repairable systems. It presents an integer formulation for finding the optimum selection of components based on the integer values of their Mean Time to Failure （MTTF） and Mean Time to Repair （MTTR）. The objective is to minimize the total cost under a system reliability constraint, in addition to other physical constraints. Although, a closed-form expression relating the cost to reliability may not be a linear; however, in this research, the objective function will always be linear regardless of the shape of the equivalent continuous closed-form function. An example is solved using the proposed method and compared with the solution of the continuous closed-form version. The formulation for all possible system configurations, components and subsystems are also considered.
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| 关 键 词： | 可靠性 分配方法 成本最小化 整数编程 |
Allocating repairable system’s reliability subject to minimal total cost — An integer programming approach |
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| Authors: | Ahmad A Moreb |
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| Institution: | Department of Industrial Engineering,King Abdul Aziz University Jeddah,Saudi Arabia |
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| Abstract: | Reliability allocation problem is commonly treated using a closed-form expression relating the cost to reliability.A recent approach has introduced the use of discrete integer technique for un-repairable systems.This research addresses the allocation problem for repairable systems.It presents an integer formulation for finding the optimum selection of components based on the integer values of their Mean Time to Failure (MTTF) and Mean Time to Repair (MTTR).The objective is to minimize the total cost under a system reliability constraint,in addition to other physical constraints.Although,a closed-form expression relating the cost to reliability may not be a linear;however,in this research,the objective function will always be linear regardless of the shape of the equivalent continuous closed-form function.An example is solved using the proposed method and compared with the solution of the continuous closed-form version.The formulation for all possible system configurations,components and subsystems are also considered. |
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| Keywords: | Reliability allocation cost minimization integer programming |
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