Title: Optimal payment policy with price-dependent demand and three parameters dependent deterioration rate under the influence trade credit

Authors: Mukesh Kumar; Deo Datta Aarya

Addresses: Department of Mathematics, Graphic Era University, 566/6 Bell Road Clement Town, Dehradun-248002, Uttarakhand, India ' Department of Mathematics, Graphic Era University, 566/6 Bell Road Clement Town, Dehradun-248002, Uttarakhand, India

Abstract: In this paper we developed an inventory model for an optimal payment policy for deteriorating items under the influence of trade credit. Demand rate of the product is considered as the function of selling price. Here, we consider the deteriorating item that follows three-parameter Weibull distribution deterioration. Finally, the optimal solution is illustrated with help of numerical example and the sensitivity analysis is carried out with respect to different parameters.

Keywords: price-dependent demand; Weibull distribution; deterioration rate; trade credit; inventory modelling; inventory management; optimal payment policy; deteriorating items.

DOI: 10.1504/IJOR.2016.076303

International Journal of Operational Research, 2016 Vol.26 No.2, pp.236 - 251

Received: 30 Aug 2013
Accepted: 01 May 2014

Published online: 01 May 2016 *

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