Economic Production Quantity Model for Deteriorating Items for Three Stage System with Partial Backlogging

Rakesh Prakesh Tripathi, Amit Kumar Uniyal

Abstract

In this paper we develop an inventory model for deteriorating items with partial backlogging. This paper deals with the problem of deteriorating EOQ model for deteriorating items under three different situations. In the proposed model, shortages are allowed and partial backlogged. We also show that the total cost function is convex with time. The model is explained with the help of numerical examples. Finally, the sensitivity analysis is given to validate the proposed model. Mathematica software is used for finding numerical solutions.