Single-period inventory model with discrete stochastic demand based on prospect theory

Wei Liu; Shiji Song; Cheng Wu

doi:10.3934/jimo.2012.8.577

Article Contents

2012, Volume 8, Issue 3: 577-590. Doi: 10.3934/jimo.2012.8.577

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Single-period inventory model with discrete stochastic demand based on prospect theory

1.
Department of Automation, Tsinghua University, Beijing 100084

Received: February 28, 2011

Revised: October 31, 2011

Published: June 2012

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Abstract

This paper studies a single-period inventory (newsvendor) problem with discrete stochastic demand. In general, most of the previous works are based on the expected profit/cost criterion or expected utility criterion. We consider the effect of irrational factor under uncertainty and therefore incorporate prospect theory into inventory model. Our objective is to maximize the overall value of the prospect, which can be calculated by using the value function and the weighting function. For any given initial inventory level, it can be shown that a state-dependent order-up-to policy is optimal. Further, the optimal policy has a simple structure, and the retailer can easily decide whether to place an order or not. Moreover, the impacts of parameters on the optimal policy are illustrated through numerical experiments.

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Mathematics Subject Classification: Primary: 90B05; Secondary: 91B42.

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