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Home  >  Transactions of NAMP VOL.9

7. PRODUCTION–INVENTORY MODEL OF DELAYED DETERIORATING ITEMS WITH QUADRATIC AND PRICE DEPENDENT DEMANDS AND BACKORDERING by Abdul’aziz Bashir, Abubakar Musa and Jamilu Adamu Volume 9, (March and May, 2019)
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PRODUCTION–INVENTORY MODEL OF DELAYED DETERIORATING ITEMS WITH

QUADRATIC AND PRICE DEPENDENT DEMANDS AND BACKORDERING

Abdul’aziz Bashir, Abubakar Musa and Jamilu Adamu

Department of Mathematics, Kano University of Science and Technology, Wudil

Abstract

This paper develops an inventory model of delayed deteriorating items in which demand is a

deterministic function of selling price. Depletion of the items will depend on demand before the

deterioration starts and at the time the deterioration begins, it will depend on both demand and

deterioration. Before the deterioration sets in, demand is assumed to be quadratic time dependent

function and when deterioration begins, the demand depends on selling price. The model is

developed with the assumption of finite replenishment. The model is constructed to minimize the

total inventory cost and maximize the total profit by determining the optimal cycle length, the

optimal time length of replenishment, and the optimal production quantity. Numerical examples

are given to test the application of the model.

Keywords: Inventory, Delayed Deterioration, Quadratic Demand, Backordering.

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