Risk Aversion in Inventory Management

Traditional inventory models focus on risk-neutral decision makers, i.e., characterizing replenishment strategies that maximize expected total profit, or equivalently, minimize expected total cost over a planning horizon. In this paper, we propose a framework for incorporating risk aversion in multi...

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Main Authors: Chen, Xin, Sim, Melvyn, Simchi-Levi, David, Sun, Peng
Format: Article
Language:English
Published: 2004
Subjects:
Online Access:http://hdl.handle.net/1721.1/7465
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author Chen, Xin
Sim, Melvyn
Simchi-Levi, David
Sun, Peng
author_facet Chen, Xin
Sim, Melvyn
Simchi-Levi, David
Sun, Peng
author_sort Chen, Xin
collection MIT
description Traditional inventory models focus on risk-neutral decision makers, i.e., characterizing replenishment strategies that maximize expected total profit, or equivalently, minimize expected total cost over a planning horizon. In this paper, we propose a framework for incorporating risk aversion in multi-period inventory models as well as multi-period models that coordinate inventory and pricing strategies. In each case, we characterize the optimal policy for various measures of risk that have been commonly used in the finance literature. In particular, we show that the structure of the optimal policy for a decision maker with exponential utility functions is almost identical to the structure of the optimal risk-neutral inventory (and pricing) policies. Computational results demonstrate the importance of this approach not only to risk-averse decision makers, but also to risk-neutral decision makers with limited information on the demand distribution.
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spelling mit-1721.1/74652019-04-11T02:45:30Z Risk Aversion in Inventory Management Chen, Xin Sim, Melvyn Simchi-Levi, David Sun, Peng risk aversion inventory models risk assessment risk measurement pricing strategies policy decisions Traditional inventory models focus on risk-neutral decision makers, i.e., characterizing replenishment strategies that maximize expected total profit, or equivalently, minimize expected total cost over a planning horizon. In this paper, we propose a framework for incorporating risk aversion in multi-period inventory models as well as multi-period models that coordinate inventory and pricing strategies. In each case, we characterize the optimal policy for various measures of risk that have been commonly used in the finance literature. In particular, we show that the structure of the optimal policy for a decision maker with exponential utility functions is almost identical to the structure of the optimal risk-neutral inventory (and pricing) policies. Computational results demonstrate the importance of this approach not only to risk-averse decision makers, but also to risk-neutral decision makers with limited information on the demand distribution. Singapore-MIT Alliance (SMA) 2004-12-14T21:00:58Z 2004-12-14T21:00:58Z 2005-01 Article http://hdl.handle.net/1721.1/7465 en Innovation in Manufacturing Systems and Technology (IMST); 16292 bytes application/pdf application/pdf
spellingShingle risk aversion
inventory models
risk assessment
risk measurement
pricing strategies
policy decisions
Chen, Xin
Sim, Melvyn
Simchi-Levi, David
Sun, Peng
Risk Aversion in Inventory Management
title Risk Aversion in Inventory Management
title_full Risk Aversion in Inventory Management
title_fullStr Risk Aversion in Inventory Management
title_full_unstemmed Risk Aversion in Inventory Management
title_short Risk Aversion in Inventory Management
title_sort risk aversion in inventory management
topic risk aversion
inventory models
risk assessment
risk measurement
pricing strategies
policy decisions
url http://hdl.handle.net/1721.1/7465
work_keys_str_mv AT chenxin riskaversionininventorymanagement
AT simmelvyn riskaversionininventorymanagement
AT simchilevidavid riskaversionininventorymanagement
AT sunpeng riskaversionininventorymanagement