Fuzzy Inventory Model for Deteriorating Items with Time Dependent Demand and Partial Backlogging

Sushil Kumar, U. S. Rajput

Department of Mathematics & Astronomy, University of Lucknow, Lucknow, India.

DOI: 10.4236/am.2015.63047                

Abstract

In this paper we developed a fuzzy inventory model for deteriorating items with time dependent demand rate. Shortages are allowed and completely backlogged. The backlogging rate of unsatisfied demand is assumed to be a decreasing exponential function of waiting time. The demand rate, deterioration rate and backlogging rate are assumed as a triangular fuzzy numbers. The purpose of our study is to defuzzify the total profit function by signed distance method and centroid method. Further a numerical example is also given to demonstrate the developed crisp and fuzzy models. A sensitivity analysis is also given to show the effect of change of the parameters.

Keywords

Inventory, Deterioration, Shortages, Triangular Fuzzy Number, Signed Distance Method and Centroid Method

Conflicts of Interest

The authors declare no conflicts of interest.

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