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Solving a class of stochastic mixed-integer programs with branch and price
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Journal Article
Solving a class of stochastic mixed-integer programs with branch and price
2006
Overview
We begin this paper by identifying a class of stochastic mixed-integer programs that have column-oriented formulations suitable for solution by a branch-and-price algorithm (B&P). We then survey a number of examples, and use a stochastic facility-location problem (SFLP) for a detailed demonstration of the relevant modeling and solution techniques. Computational results with a scenario representation of uncertain costs, demands and capacities show that B&P can be orders of magnitude faster than solving the standard formulation by branch and bound. We also demonstrate how B&P can solve SFLP exactly - as exactly as a deterministic mixed-integer program - when demands and other parameters can be represented as certain types of independent, random variables, e.g., independent, normal random variables with integer means and variances. [PUBLICATION ABSTRACT]
Publisher
Springer Nature B.V
