Selective Maintenance in System Reliability with Random Costs of Repairing and Replacing the Components

In this paper we consider the problem of determining the optimum number of repairable and replaceable components to maximize a system's reliability when both, the cost of repairing the components and the cost of replacement of components by new ones, are random. We formulate it as a problem of...

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Bibliographic Details
Published in:Communications in statistics. Simulation and computation 2013-10, Vol.42 (9), p.2026-2039
Main Authors: Ali, Irfan, Raghav, Yashpal Singh, Khan, M. Faisal, Bari, Abdul
Format: Article
Language:English
Subjects:
90C15, 90B25
Chance constrained
Computer simulation
Costs
Maintenance
Mathematical models
Optimization
Optimization and allocation
Programming
Reliability
Repairing
Selective maintenance
Stochastic models
Stochastic programming
Studies
System reliability
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Summary:In this paper we consider the problem of determining the optimum number of repairable and replaceable components to maximize a system's reliability when both, the cost of repairing the components and the cost of replacement of components by new ones, are random. We formulate it as a problem of non-linear stochastic programming. The solution is obtained through Chance Constrained programming. We also consider the problem of finding the optimal maintenance cost for a given reliability requirement of the system. The solution is then obtained by using Modified E-model. A numerical example is solved for both the formulations.
ISSN:0361-0918
1532-4141
DOI:10.1080/03610918.2012.689063