Title: An inventory model for a deteriorating item with two levels of storage and stock-dependent demand

Authors: S.K. Ghosh, S. Khanra, K.S. Chaudhuri

Addresses: Department of Mathematics, The Bhawanipur Education Society College, Kolkata 700020, India. ' Department of Mathematics, Tamralipta Mahavidyalaya, Tamluk, West Bengal, India. ' Department of Mathematics, Jadavpur University, Kolkata 700032, India

Abstract: This paper deals with an inventory model for a deteriorating item with two levels of storage where the demand rate is a function of the on-hand inventory. When the stock level exceeds the capacity of the Own Warehouse (OW), a Rented Warehouse (RW) is used. The stock is transported periodically in bulk from RW to OW and there is an associated transportation cost. Shortages are not allowed and an algorithm is developed to obtain the optimal solution of the model. The optimal solution is illustrated with the help of a numerical example. Sensitivity of the optimal solution is also carried out with respect to changes in different system parameters.

Keywords: inventory modelling; stock-dependent demand; deterioration; storage levels; deteriorating items; stock levels.

DOI: 10.1504/IJMOR.2011.038910

International Journal of Mathematics in Operational Research, 2011 Vol.3 No.2, pp.186 - 197

Available online: 06 Mar 2011 *

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