Allocating repairable system’s reliability subject to minimal total cost — An integer programming approach

Ahmad A. Moreb

doi:10.1007/s11518-007-5060-8

Journal of Systems Science and Systems Engineering ›› 2007, Vol. 16 ›› Issue (4) : 499 DOI: 10.1007/s11518-007-5060-8

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Allocating repairable system’s reliability subject to minimal total cost — An integer programming approach

Ahmad A. Moreb ¹^,^a

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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.

Keywords

Reliability / allocation / cost minimization / integer programming

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Ahmad A. Moreb. Allocating repairable system’s reliability subject to minimal total cost — An integer programming approach. Journal of Systems Science and Systems Engineering, 2007, 16(4): 499 DOI:10.1007/s11518-007-5060-8

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References

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[1]	Agarwal K.K., Gupta J.S., Misra K.B.. A new heuristic criterion for solving redundancy optimization problem. IEEE Transactions on Reliability, 1975, 24(1): 86-87.

[2]	Jacobson, D.W. & Arora, S.R. (1996). Simultaneous allocation of reliability and redundancy using simplex search. IEEE Proc. Ann. Reliability and Maintainability Symposium, 243–250

[3]	Kececioglu D.. Relaibility Engineering Handbook, Volumes 1 and 2, 1991, Englewood Cliffs, NJ: Prentice Hall

[4]	Majety S.R., Dawande M., Rajgopal J.. Optimal reliability allocation with discrete cost-reliability data for components. Operations Research, 1999, 47(6): 899-906.

[5]	Nakagawa Y., Nakashima K.. A heuristic method for determining reliability allocation. IEEE Transactions on Reliability, 1977, 26: 156-161.

[6]	Tillman F.A., Hwang C.L., Kuo W.. Determining component reliability and redundancy for optimal system reliability. IEEE Transactions on Reliability, 1977, 26: 162-165.

[7]	Tillman F.A., Hwang C.L., Kuo W.. Optimization of Systems Reliability, 1980, New York: Marcel Decker.

[8]	Tillman F.A., Liittschwager J.M.. Determining component reliability and redundancy for optimal system reliability. IEEE Transactions on Reliability, 1967, 26: 162-165.