An inventory model for deteriorating items with stock-dependent demand, time-varying holding cost and shortages

In this article, an inventory model for deteriorating items with two components demand and time-varying holding cost has been developed. Demand is assumed to be stock-dependent up to the level of available stock. After which the demand is considered as constant i.e. during stock-out period. Shortages are allowed and are fully backlogged. Profits are maximized in both the infinite and finite time horizon cases. Some special cases are also derived from the main models. Two numerical examples are provided for both finite and infinite time horizon. Sensitivity analysis performed has shown successful effects of various model parameters on net profit. © 2013, Operational Research Society of India.