Title: EOQ model for non-instantaneous deteriorating items with time-varying demand and partial backlogging

Authors: S.K. Manna, C.C. Lee, C. Chiang

Addresses: Sovarani Memorial College, Department of Mathematics, Jagatballavpur, Howrah &ndashl 711408, West Bengal, India. ' Department of Management Science, National Chiao Tung University, Hsinchu, Taiwan, ROC. ' Department of Management Science, National Chiao Tung University, Hsinchu, Taiwan, ROC

Abstract: In this study, an EOQ model is developed for non-instantaneous deteriorating items with demand rate as time-dependent. In the model, shortages are allowed and partially backlogged. The backlogging rate is variable and dependent on the waiting time for the next replenishment. Analytical results indicate that the optimal re-order time of the proposed model is unique and independent of the form of demand rate. Results are illustrated with the help of numerical examples. Computational results show that a decrease in the backlogging parameter causes the lower average total cost per unit time.

Keywords: non-instantaneous deterioration; time-varying demand; partial backlogging; EOQ models; economic order quantity; re-order time.

DOI: 10.1504/IJISE.2009.023540

International Journal of Industrial and Systems Engineering, 2009 Vol.4 No.3, pp.241 - 254

Published online: 27 Feb 2009 *

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