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V. A. Bereznev, “A Stochastic Programming Problem with Probabilistic Constraints,” Engineering Cybernetics, Vol. 9, No. 4, 1971, pp. 613-619.

has been cited by the following article:

• TITLE: Allocation of Repairable and Replaceable Components for a System Availability Using Selective Maintenance with Probabilistic Maintenance Time Constraints

  AUTHORS: Irfan Ali, Mohammed Faisal Khan, Yashpal Singh Raghav, Abdul Bari

  KEYWORDS: Selective Maintenance, Availability, Optimization and Allocation, Chance’s Constraints

  JOURNAL NAME: American Journal of Operations Research, Vol.1 No.3, September 30, 2011

  ABSTRACT: In this paper, we obtain optimum allocation of replaceable and repairable components in a system design. When repair and replace time are considered as random in the constraints. We convert probabilistic constraint into an equivalent deterministic constraint by using chance constrained programming. We have used the selective maintenance policy to determine how many components to be replaced & repaired within the limited maintenance time interval and cost. A Numerical example is presented to illustrate the computational procedure and problem is solved by using LINGO Software.