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2011•Journal of King Saud University - ScienceOpen access

Constrained backorders inventory system with varying order cost: Lead time demand uniformly distributed

Mona F. El-Wakeel

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Abstract

This paper discusses the probabilistic backorders inventory system when the order cost unit is a function of the order quantity. Our objective is to minimize the expected annual total cost under a restriction on the expected annual holding cost when the lead time demand follows the uniform distribution. Then some special cases are deduced and an illustrative numerical example with its graphs is added.

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What this paper is about

This paper discusses the probabilistic backorders inventory system when the order cost unit is a function of the order quantity. Our objective is to minimize the expected annual total cost under a restriction on the expected annual holding cost when the lead time demand follows the uniform distribution. Then some special cases are deduced and an illustrative numerical example with its graphs is added.

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Available abstract

This paper discusses the probabilistic backorders inventory system when the order cost unit is a function of the order quantity. Our objective is to minimize the expected annual total cost under a restriction on the expected annual holding cost when the lead time demand follows the uniform distribution. Then some special cases are deduced and an illustrative numerical example with its graphs is added.

Key concepts: Lead time, Probabilistic logic, Mathematical optimization, Order (exchange), Holding cost, Total cost, Function (biology), Inventory cost

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