A Fuzzy Inventory Replenishment Model for Deteriorating and Ameliorating Items under Linear Trend in Demand and Partial Backlogging.

Abstract

This research paper deals with an inventory replenishment model for both deteriorating and ameliorating items under linear trend in demand over a fixed time horizon. This paper aimed to develop the model with shortages which are partially backlogged. The model is developed under the fuzzy environment. Optimal technique is used to solve the model considering Signed Distance Method (SD). The ordering cost, purchase cost, holding cost, deteriorating cost, ameliorating cost, shortage cost and opportunity cost are all considered as fuzzy cost parameters. Finally the fuzzy model is illustrated with the help of a numerical example and a sensitivity of the optimal solution towards the changes in the values of all fuzzy cost parameters is also furnished, and a concluding remark is given expressing the model development and also future research works in consequence of the present.