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Generalizing the ordering cost and holding-backlog cost rate functions in EOQ-type inventory models

Frenk, Hans and Kaya, Murat and Pourghannad, Behrooz (2014) Generalizing the ordering cost and holding-backlog cost rate functions in EOQ-type inventory models. In: Choi, Jason, (ed.) Handbook of EOQ Inventory Problems: Stochastic and Deterministic Models and Applications. International Series in Operations Research & Management Science; 197, Part II. Springer, New York, NY, pp. 79-119. ISBN 978-1-4614-7638-2 (Print) 978-1-4614-7639-9 (Online)

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Official URL: http://dx.doi.org/10.1007/978-1-4614-7639-9_5

Abstract

In this chapter, we discuss generalizations of the ordering, inventory holding and backlog costs in EOQ-type models. We solve nested optimization problems to determine the order-up-to level S and cycle length T values that characterize optimal (S, T ) inventory policies. Using these, we characterize the order quantity, maximum backlog and fill rate in the optimal solution. We also study the sensitivity of these optimal values with respect to model parameters demand rate and opportunity cost rate. We present structural results for certain classes of ordering cost and holding-backlog cost rate functions that yield to a convex optimization problem. More general cost functions require the solution of a global optimization problem. For such cases, using our structural results, we generate lower and upper bounds on the optimal T. We illustrate how these bounds can be used to construct efficient computational algorithms to determine the optimal cycle length.

Item Type:Book Section / Chapter
Subjects:H Social Sciences > HD Industries. Land use. Labor > HD0028 Management. Industrial Management
ID Code:22928
Deposited By:Murat Kaya
Deposited On:21 Jan 2014 14:36
Last Modified:21 Jan 2014 14:36

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