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Bi-Criteria Optimization Technique in Stochastic System Maintenance Allocation Problem
Department of Statistics & Operations Research, Aligarh Muslim University, Aligarh, India
Department of Statistics & Operations Research, Aligarh Muslim University, Aligarh, India
- 1 Department of Statistics & Operations Research, Aligarh Muslim University, Aligarh, India
- 2 Department of Statistics & Operations Research, Aligarh Muslim University, Aligarh, India
American Journal of Operations Research·Volume 03 (2013)·Pages 17–29·Published 29 January 2013·DOI10.4236/ajor.2013.31002
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Abstract
In this paper, the problem of optimum allocation of repairable and replaceable components in a system is formulated as a Bi-objective stochastic non linear programming problem. The system maintenance time and cost are random variable and has gamma and normal distribution respectively. A Bi-criteria optimization technique, weighted Tchebycheff is used to obtain the optimum allocation for a system. A numerical example is also presented to illustrate the computational details.
KeywordsSelective MaintenanceWeighted Tchebycheff TechniqueMulti-Criteria OptimizationStochastic ProgrammingChance ConstrainedModified E-ModelSystem Reliability
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