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

• 作者: Sushil Kumar U. S. Rajput
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Inventory DETERIORATION Shortages TRIANGULAR FUZZY Number SIGNED Distance METHOD and CENTROID METHOD
• 年，卷（期）: yysxyw_2015,（3）
• 页码范围: 496-509
• 页数: 14页
• 分类号: O1

摘要

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.