Generalizing the Ordering Cost and Holding-Backlog Cost Rate Functions in EOQ-Type Inventory Models

J. B. G. Frenk (), Murat Kaya () and Behrooz Pourghannad ()
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J. B. G. Frenk: Sabanci University
Murat Kaya: Sabanci University
Behrooz Pourghannad: Sabanci University

A chapter in Handbook of EOQ Inventory Problems, 2014, pp 79-119 from Springer

Abstract: 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 optimal $$(S,T)$$ ( S , T ) inventory policy with $$S$$ S denoting the order-up-to level and $$T$$ T the cycle length. In addition, we characterize the order quantity, maximum backlog, and fill rate for the optimal policy and study the sensitivity of these optimal values with respect to model parameters such as demand rate and opportunity cost rate. We also identify the classes of ordering cost and holding-backlog cost rate functions for which the considered optimization problem reduces to a convex minimization problem. For more general cost functions, this optimization problem is related to a global optimization problem. For such cases, using our structural results for convex problems, we generate lower and upper bounds on the optimal cycle length $$T$$ T , and illustrate how this can be used to construct efficient computational algorithms to determine the optimal $$(S,T)$$ ( S , T ) policy.

Keywords: Ordering Cost Function; Opportunity Cost Rate; Optimal Cycle Length; Backlog Cost; Maximum Backlog (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:isochp:978-1-4614-7639-9_5

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DOI: 10.1007/978-1-4614-7639-9_5

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