A Fuzzy type Backlogging Production Inventory Model for Perishable Items with Time Dependent Exponential Demand Rate

Abstract

Production inventory models have an important role in production planning and scheduling. In any economic production quantity (EPQ) model, the production rate is dependent on demand. In this paper we have established a production inventory model for perishable items with partial backlogging and time dependent exponential demand rate. Allowing shortage, it is partially backlogged. The unsatisfied demand is backlogged and it is considered a function of waiting time. The aim of our study is to optimizing the total profit during a given cycle. A numerical example is given in showing the applicability of the developed model.

Fuzzy Inventory Model with Variable Production and Selling Price Dependent Demand under Inflation for Deteriorating Items

“…K. Kumar et al [14] formulated an inventory model where demand is time dependent and ordering cost is function of time as well, where trapezoidal fuzzy numbers are used and partial backlogging are allowed for deteriorating items. S. Kumar [25] developed a production inventory model with exponential time dependent demand under fuzzy environment and shortages are partially backlogged. The backlog of undersupply is regarded as a function of waiting time.…”