By Giuseppe Lancia,Paolo Serafini

This publication presents a convenient, unified advent to the speculation of compact prolonged formulations of exponential-size integer linear programming (ILP) types. Compact prolonged formulations are both robust, yet polynomially-sized, versions whose suggestions don't require the implementation of separation and pricing techniques. The publication is written in a normal, didactic, shape first constructing the history theoretical strategies (polyhedra, projections, linear and integer programming) after which delving into a few of the concepts for compact prolonged reformulations. The concepts are illustrated via a wealth of examples concerning many program components, resembling classical combinatorial optimization, community layout, timetabling, scheduling, routing, computational biology and bioinformatics. The publication is meant for graduate or PhD scholars – both as a sophisticated direction on chosen issues or inside of a extra common direction on ILP and Mathematical Programming – in addition to for practitioners and software program engineers in taking a look at ideas for constructing optimization versions for his or her particular problems.

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Compact Extended Linear Programming Models (EURO Advanced Tutorials on Operational Research) by Giuseppe Lancia,Paolo Serafini

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