An exact algorithm for solving large-scale two-stage stochastic mixed-integer problems: Some theoretical and experimental aspects
L.F. Escudero,
María Garín,
M. Merino and
G. Pérez
European Journal of Operational Research, 2010, vol. 204, issue 1, 105-116
Abstract:
We present an algorithmic framework, so-called BFC-TSMIP, for solving two-stage stochastic mixed 0-1 problems. The constraints in the Deterministic Equivalent Model have 0-1 variables and continuous variables at any stage. The approach uses the Twin Node Family (TNF) concept within an adaptation of the algorithmic framework so-called Branch-and-Fix Coordination for satisfying the nonanticipativity constraints for the first stage 0-1 variables. Jointly we solve the mixed 0-1 submodels defined at each TNF integer set for satisfying the nonanticipativity constraints for the first stage continuous variables. In these submodels the only integer variables are the second stage 0-1 variables. A numerical example and some theoretical and computational results are presented to show the performance of the proposed approach.
Keywords: Stochastic; integer; programming; Nonanticipativity; constraints; Splitting; variables; Twin; Node; Family; Branch-and-Fix; Coordination (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (12)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:204:y:2010:i:1:p:105-116
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