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Advances in Operations Research
Volume 2011 (2011), Article ID 521351, 17 pages
http://dx.doi.org/10.1155/2011/521351
Research Article

Geometric Programming Approach to an Interactive Fuzzy Inventory Problem

Department of Mathematics, Silda Chandrasekhar College, Silda, West Bengal, Paschim Medinipur 721515, India

Received 10 April 2011; Accepted 20 July 2011

Academic Editor: Lars Mönch

Copyright © 2011 Nirmal Kumar Mandal. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

An interactive multiobjective fuzzy inventory problem with two resource constraints is presented in this paper. The cost parameters and index parameters, the storage space, the budgetary cost, and the objective and constraint goals are imprecise in nature. These parameters and objective goals are quantified by linear/nonlinear membership functions. A compromise solution is obtained by geometric programming method. If the decision maker is not satisfied with this result, he/she may try to update the current solution to his/her satisfactory solution. In this way we implement man-machine interactive procedure to solve the problem through geometric programming method.