1995
DOI: 10.1002/1520-6750(199510)42:7<1129::aid-nav3220420711>3.0.co;2-m
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Note: A local-search heuristic for large set-covering problems

Abstract: In this note we describe a local‐search heuristic (LSH) for large non‐unicost set‐covering problems (SCPs). The new heuristic is based on the simulated annealing algorithm and uses an improvement routine designed to provide low‐cost solutions within a reasonable amount of CPU time. The solution costs associated with the LSH compared very favorably to the best previously published solution costs for 20 large SCPs taken from the literature. In particular, the LSH yielded new benchmark solutions for 17 of the 20 … Show more

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Cited by 133 publications
(57 citation statements)
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References 33 publications
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“…The ILS algorithm has also been extended to an iterated greedy (IG) algorithm [77]. The essential idea in IG, and also a few other algorithms [45,80], is to perturb the current solution by a destruction/construction mechanism. In the solution destruction phase, a complete solution is reduced to a partial solution s p by removing solu-tion components; in the following construction phase, a complete solution is reconstructed starting from s p by a greedy construction heuristic.…”
Section: Ils For Other Problemsmentioning
confidence: 99%
“…The ILS algorithm has also been extended to an iterated greedy (IG) algorithm [77]. The essential idea in IG, and also a few other algorithms [45,80], is to perturb the current solution by a destruction/construction mechanism. In the solution destruction phase, a complete solution is reduced to a partial solution s p by removing solu-tion components; in the following construction phase, a complete solution is reconstructed starting from s p by a greedy construction heuristic.…”
Section: Ils For Other Problemsmentioning
confidence: 99%
“…The standard iterated greedy (IG) algorithm [30] was intended for single-objective combinatorial optimization problems. The IG algorithm consists of two iterative phases, i.e., destruction and construction.…”
Section: The Basic Ig Algorithmmentioning
confidence: 99%
“…Assim, o PCC construído é submetido a um algoritmo heurístico construtivo com o objetivo de obter uma estimativa do custo da solução rapidamente. Nesse caso foi utilizado o algoritmo de [23]. Dessa forma, f(S) é a soma dos custos das colunas que participam da solução construída para o PCC.…”
Section: 12unclassified