Title: An EPQ model for deteriorating items with price sensitive demand and shortages

Authors: Sanjay Sharma; S.R. Singh; Mangey Ram

Addresses: Department of Mathematics, Graphic Era University, 566/6, Bell Road, Clement Town, Dehradun, U.K., India ' Department of Mathematics, D.N. (P.G.) College, Railway Road, Meerut, U.P., India ' Department of Mathematics, Graphic Era University, 566/6, Bell Road, Clement Town, Dehradun, U.K., India

Abstract: In the classical inventory models, the demand rate is regularly assumed to be either constant or time-dependent, but independent of the stock levels. Since the demand rate is not only influenced by stock level, but also is associated with the selling price. Therefore, we also take into account the selling price and then establish an EPQ model, in which the demand rate is a function of the selling price. In this paper, we consider the production rate as demand dependent, which is more realistic in our general life. The planning horizon is infinite. The time dependent rate of deterioration is taken into consideration and demand rate is price dependent. We consider that shortages are allowed and partially backlogged.

Keywords: deterioration rate; exponential demand; price sensitive demand; EPQ model; economic production quantity; deteriorating items; shortages; inventory modelling; inventory management; selling price; production rate; planning horizon; partial backlogging.

DOI: 10.1504/IJOR.2015.069183

International Journal of Operational Research, 2015 Vol.23 No.2, pp.245 - 255

Received: 22 Feb 2013
Accepted: 05 Aug 2013
Published online: 01 May 2015 *

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