An Availability-based Design Optimization by Using a Fuzzy Goal Programming Approach
Subject Areas : Reliability EngineeringZahra Sobhani 1 , Mahmoud Shahrokhi 2 * , Alain Bernard 3
1 - Department of Industrial Engineering, University of Kurdistan, Sanandaj, Iran
2 - Department of Industrial Engineering, University of Kurdistan, Sanandaj, Iran
3 - Digital Sciences Laboratory, LS2N UMR CNRS 6004, Ecole Centrale de Nantes, France
Keywords: Goal programming, Reliability (RBD), Concurrent engineering, Markov model, Fuzzy theory,
Abstract :
Selecting systems configuration is a critical step in the safe design of systems. Optimizing systems configuration means maximizing their availability and minimizing their overall cost. In this regard, this paper aims to present a novel binary non-linear fuzzy goal programming (FGP) model to choose parts suppliers of multistate parallel series systems based on availability and manufacturing costs. Quantity-based discounts, components purchase cost, and penalties for delaying system construction were also considered. In addition, a fuzzy target programming model was applied to minimize deviations from goal values of expenses. A system reliability block diagram illustrates the system's status. The Markov chain model describes a sequence of possible events in which the probability of each event depends on the reliability of system parts. The other effect of ordering several pieces from the same supplier is considered (reducing the unit price of elements and increasing their delivery lead time). Model results indicate the practical application of this method to optimize system parts reliability, taking into account life cycle parameters, including system construction cost and operational reliability.
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