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2012 | OriginalPaper | Chapter

4. Single-Period Stochastic Inventory Planning with Demand Selection

Author : Joseph Geunes

Published in: Demand Flexibility in Supply Chain Planning

Publisher: Springer New York

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Abstract

This chapter deals with a generalization of the single-period newsvendor problem. We consider a setting in which a decision maker at a single stocking point must determine the stock level for a single product under uncertain demand. In addition to determining the item’s stock level, the decision maker must select a subset from a set of individual demands, each of which is uncertain and follows a particular probability distribution. Assuming normally distributed and independent demand streams results in a class of problems that are strikingly similar to the problems considered in the previous chapter, although the underlying model assumptions are quite different.

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Footnotes
1
For a detailed discussion of the more general case in which μ j (0)>0 and \(\sigma_{j}^{2}(0)>0\), please see [3].
 
2
Please see [1] for a discussion of fairly general models for which this property holds, i.e., at most one value exists satisfying (4.16) for each pair of markets.
 
Literature
1.
go back to reference Bakal I, Geunes J, Romeijn H (2008) Market Selection Decisions for Inventory Models with Price-Sensitive Demand. Journal of Global Optimization 41(4):633–657 MathSciNetMATHCrossRef Bakal I, Geunes J, Romeijn H (2008) Market Selection Decisions for Inventory Models with Price-Sensitive Demand. Journal of Global Optimization 41(4):633–657 MathSciNetMATHCrossRef
2.
go back to reference Romeijn H, Geunes J, Taaffe K (2007) Solution Methods for a Class of Nonlinear, Non-Separable Knapsack Problems. Operations Research Letters 35(2):172–180 MathSciNetMATHCrossRef Romeijn H, Geunes J, Taaffe K (2007) Solution Methods for a Class of Nonlinear, Non-Separable Knapsack Problems. Operations Research Letters 35(2):172–180 MathSciNetMATHCrossRef
3.
go back to reference Taaffe K, Geunes J, Romeijn H (2008) Target Market Selection with Demand Uncertainty: The Selective Newsvendor Problem. European Journal of Operational Research 189(3):987–1003 MATHCrossRef Taaffe K, Geunes J, Romeijn H (2008) Target Market Selection with Demand Uncertainty: The Selective Newsvendor Problem. European Journal of Operational Research 189(3):987–1003 MATHCrossRef
Metadata
Title
Single-Period Stochastic Inventory Planning with Demand Selection
Author
Joseph Geunes
Copyright Year
2012
Publisher
Springer New York
DOI
https://doi.org/10.1007/978-1-4419-9347-2_4

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