TITLE:
Fuzzy Inventory Model for Deteriorating Items with Time Dependent Demand and Partial Backlogging
AUTHORS:
Sushil Kumar, U. S. Rajput
KEYWORDS:
Inventory, Deterioration, Shortages, Triangular Fuzzy Number, Signed Distance Method and Centroid Method
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.3,
March
11,
2015
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.