Titlebook: Combinatorial Optimization; Second International A. Ridha Mahjoub,Vangelis Markakis,Vangelis Th. Pa Conference proceedings 2012 Springer-Ve

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Steven P. Neeck,Theodore F. Hammern particular, we describe heuristic separation algorithms for gap inequalities and their special cases, and show that an LP-based cutting-plane algorithm based on these separation heuristics can yield very good upper bounds in practice.

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1.13 Errata and Addenda for Vol. 22a, measures can be classified on the basis of the structure of the optimum hyperpath they determine, we present an alternative taxonomy of measure functions, based on their analytic properties, and prove structure theorems that relate the two hierarchies.

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1.13 Errata and Addenda for Vol. 22a,h two instance classes comparing the performance of the latter algorithm against that of a standard (exact) .&.. The results reveal that the Lagrangian algorithm yielded solutions with minute, and often null, duality gaps for instances with several hundreds of points in small computation times.

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1.13 Errata and Addenda for Vol. 22a,d to “encapsulate” model symmetry. This leads to a discrete relaxation of the original problem, whose solution yields a bound on its optimal value. Encouraging preliminary computational experiments on the tightness and solution speed of this relaxation are presented.

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1.12 Programs for computational chemistry,hat the semidefinite relaxation improves significantly the continuous relaxation (112% on average) and that it often provides a lower bound very close to the optimal value. In addition, the computational time for obtaining these results remains reasonable.

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