A single-period inventory system with a general S-shaped utility and exponential demand

Wei Geng , Xiaobo Zhao , Deng Gao

Journal of Systems Science and Systems Engineering ›› 2010, Vol. 19 ›› Issue (2) : 227 -236.

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Journal of Systems Science and Systems Engineering ›› 2010, Vol. 19 ›› Issue (2) : 227 -236. DOI: 10.1007/s11518-010-5128-8
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A single-period inventory system with a general S-shaped utility and exponential demand

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Abstract

We discuss a single-period inventory system with a general S-shaped utility function and exponential demand. It is shown that there exists a state-dependent order-up-to policy to be optimal. Behaviors of optimal policy are illustrated by a numerical example.

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Inventory / S-shaped utility function / order-up-to policy

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Wei Geng, Xiaobo Zhao, Deng Gao. A single-period inventory system with a general S-shaped utility and exponential demand. Journal of Systems Science and Systems Engineering, 2010, 19(2): 227-236 DOI:10.1007/s11518-010-5128-8

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