Title: An economic production quantity model for items with time proportional deterioration under permissible delay in payments

Authors: Taniya Sarkar Roy; Santanu Kumar Ghosh; Kripasindhu Chaudhuri

Addresses: Department of Mathematics, Bengal College of Engineering and Technology for Women, Durgapur, West Bengal, Pin Code: 713212, India ' Department of Mathematics, The Bhawanipur Education Society College, Kolkata-700020, India ' Department of Mathematics, Jadavpur University, Kolkata-700 032, India

Abstract: In traditional economic order quantity (EOQ) models, the items are replenished instantaneously and payments for the purchased items are made whenever the items are received. But, sometimes, the supplier may offer the retailer a trade credit period for the purchased goods. The retailer can pay the amount of purchased goods within this stipulated credit period. Beyond this period, some interest may be charged for the purchased items. The supplier offers to the retailer this permissible delay in payments to attract the new customers. These new customers can increase their sells by reducing the price of the items or by increasing the amount of stock displayed to attract the customers. Therefore, within the trade credit period, the retailers can trade without using their capitals. The purpose of this paper is to investigate the optimal production time and optimal cycle time in an economic production quantity model for items with time-proportional deterioration. The model is solved analytically to obtain the optimal solution of the problem. It is then illustrated with the help of a numerical example. The model of Huang (2004) is deduced from this model as a special case.

Keywords: economic production quantity; EPQ; time proportional deterioration; inventory management; payment delay; deteriorating items; optimal production time; optimal cycle time.

DOI: 10.1504/IJMOR.2013.053625

International Journal of Mathematics in Operational Research, 2013 Vol.5 No.3, pp.301 - 316

Published online: 31 Mar 2014 *

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