A Multi-Objective Production Inventory Model with Backorder for Fuzzy Random Demand Under Flexibility and Reliability |
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Authors: | Nita H Shah Hardik Soni |
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Institution: | (1) Department of Mathematics, Siliguri Institute of Technology, P.O.-Sukna, Siliguri, 734009, West Bengal, India;(2) Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, 711103, West Bengal, India |
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Abstract: | In this paper, an Economic Production Quantity (EPQ) model is developed with flexibility and reliability consideration of
production process in an imprecise and uncertain mixed environment. The model has incorporated fuzzy random demand, an imprecise
production preparation time and shortage. Here, the setup cost and the reliability of the production process along with the
backorder replenishment time and production run period are the decision variables. Due to fuzzy-randomness of the demand,
expected average demand is a fuzzy quantity and also imprecise preparation time is represented by fuzzy number. Therefore,
both are first transformed to a corresponding interval number and then using the interval arithmetic, the single objective
function for expected profit over the time cycle is changed to respective multi-objective functions. Due to highly nonlinearity
of the expected profit functions it is optimized using a multi-objective genetic algorithm (MOGA). The associated profit maximization
problem is illustrated by numerical examples and also its sensitivity analysis is carried out. |
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Keywords: | |
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