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Multi-objective inventory models of deteriorating items with some constraints in a fuzzy environment
Authors:T K Roy  M Maiti  
Affiliation:affl1Department of Applied Mathematics, Faculty of Sciences, Vidyasagar University, Midnapore 721 102 West Bengal, India
Abstract:In this paper, multi-item inventory models of deteriorating items with stock-dependent demand are developed in a fuzzy environment. Here, the objectives of maximizing the profit and minimizing the wastage cost are fuzzy in nature. Total average cost, warehouse space, inventory costs, purchasing and selling prices are also assumed to be vague and imprecise. The impreciseness in the above objective and constraint goals have been expressed by fuzzy linear membership functions and that in inventory costs and prices by triangular fuzzy numbers (TFN). Models have been solved by the fuzzy non-linear programming (FNLP) method based on Zimmerman Zimmermann, H.-J., Fuzzy linear programming with several objective functions. Fuzzy Sets and Systems, 1978, 1, 46-55] and Lee and Li Lee, E. S. and Li, R. J., Fuzzy multiple objective programming and compromise programming with Pareto optima. Fuzzy Sets and Systems, 1993, 53, 275-288]. These are illustrated with numerical examples and results of one model are compared with those obtained by the fuzzy additive goal programming (FAGP) Tiwari, R. N., Dharmar, S. and Rao, J. R., Fuzzy goal programming: an additive model. Fuzzy Sets and Systems, 1987, 24, 27-34] method.
Keywords:Operations research  Fuzzy sets  Constraint theory  Inventory control  Industrial economics  Costs  Purchasing  Sales  Membership functions  Mathematical models  Nonlinear programming  Multi-objective inventory models  Triangular fuzzy numbers  Fuzzy additive goal programming (FAGP)  Fuzzy nonlinear programming (FNLP)
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