The Logic of Logistics by David Simchi-Levi Xin Chen & Julien Bramel
Author:David Simchi-Levi, Xin Chen & Julien Bramel
Language: eng
Format: epub
Publisher: Springer New York, New York, NY
The demand of each retailer is random and depends on the realization of the market signal ω and its own selling price. Specifically, we focus on demand functions of the following forms:
Assumption 11.2.2
For j ∈ N, the demand function of retailer j given its price p j satisfies
(11.1)
where α j and β j are two nonnegative random variables, represented as functions of the market signal ω.
To avoid technical complications, we assume that the sample space Ω of ω is finite. However, this assumption can be relaxed if necessary.
We further assume that and are the lower and upper bounds of p j (ω), respectively. Thus, the feasible set of retailer j’s price decision p j (⋅ ) is given by
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