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International Journal of Statistika and Mathematika, ISSN: 2277- 2790 E-ISSN: 2249-8605

Volume 6, Issue 2, June 2013 pp 43-50

Research Article

Multi-Objective Inventory Model of Deteriorating Items with Shortages in Fuzzy Environment

Omprakash Jadhav1, V.H. Bajaj2

Department of Statistics, Dr. B. A. M. University, Aurangabad, Maharashtra-431004, INDIA.


Academic Editor:  Dr. Dase R.K.


In this paper multi-objective inventory model under limited storage area, deteriorating. Items with stock-dependent demand are developed in a fuzzy environment. Here, objectives are to maximize the profit and to minimize the total average cost and wastage cost, where Purchasing price, set-up cost, holding cost, storage area, Inventory cost, shortage cost, rate of deterioration, total storage area, and objective goals are fuzzy in nature. In this model, fuzzy parameters are represented by linear membership functions and after the fuzzification, it is solved by fuzzy non-linear programming (FNLP) and weight FNLP (WFNLP), fuzzy product goal programming, (FPGP) and weight FPGP (WFPGP) method are presented. The model is illustrated numerically and the results obtained from both WFNLP and WFPGP methods. Solving this problem also for some numerical values by both WFNLP and WFPGP methods, optimum results are presented in tabular form for different weights.

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