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Multi-objective inventory model of deteriorating items with space constraint in a fuzzy environment.(Report)
- Article from:
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Tamsui Oxford Journal of Mathematical Sciences
- Article date:
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May 1, 2008
- Author:
- Kar, S.; Roy, T.K.; Maiti, M.
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Copyright informationCOPYRIGHT 2008 Aletheia University. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan. All inquiries regarding rights should be directed to the Gale Group. (Hide copyright information)
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Multi-objective inventory models of deteriorating items have been developed with vague and imprecise information about available storage area. Here, the objectives are (i) to maximize the profit, (ii) to minimize the wastage cost due to deterioration and (iii) to minimize the total production cost. These objectives are also fuzzy in nature. In these models, production rate is a decision variable along with the usual decision parameters -inventory quantities. The impreciseness in inventory parameters and objective goals has been expressed by linear membership functions. We have solved the proposed model for a particular unit production cost function using different fuzzy non-linear goal ...
<[L.sub.WC]; [[[U.sub.WC] - WC(P,Q)]]/[[U.sub.WC] - [L.sub.WC]]], for [L.sub.WC][less than or equal to]WC(P, Q)[less than or equal to][U.sub.WC]; 0, for WC(P, Q)><[L.sub.PC]; [[[U.sub.PC] - PC(P, Q)]]/[[U.sub.PC] - [L.sub.PC]]], for [L.sub.PC][less than or equal to]WC(P, Q)[less than or equal to][U.sub.PC]; 0, for WC(P, Q)><[B.sub.0] - [P.sub.PF]; (1 - [[B.sub.0] - PF(P, Q)]/[P.sub.PF]], for [B.sub.0] - [P.sub.PF][less than or equal to]PF(P, Q)[less than or equal to][B.sub.0]; 1, for PF(P, Q)><[D.sub.0]; [[1-[PC(P, Q) - [D.sub.0]]/[P.sub.PC]], for [D.sub.0][less than or equal to]PC(P, Q)[less than or equal to][D.sub.0] + [P.sub.PC]; 0, for PC(P, Q)>