A preprocessing procedure for fixing the binary variables in the capacitated facility location problem through pairing and surrogate constraint analysis

Authors:
Maria A. Osorio;Abraham Sánchez
Affiliations:
Department of Chemical Engineering, Universidad Autónoma de Puebla, San Manuel, Puebla, Pue, México;Department of Computing, Universidad Autónoma de Puebla, San Manuel, Puebla, Pue, México
Venue:
WSEAS Transactions on Mathematics
Year:
2009

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Abstract

The Osorio and Glover (2003) use of dual surrogate analysis is exploited to fix variables in capacitated facility location problems (CFLP). The surrogate constraint is obtained by weighting the original problem constraints by their associated dual values in the LP relaxation. A known solution is used to convert the objective function in a constraint that forces the solution to be less or equal to it. The surrogate constraint is paired with the objective function to obtain a combined constraint where negative variables are replaced by complemented variables and the resulting constraint used to fix binary variables in the model.