Autor(es):
Gomes da Silva, Carlos 
; Clímaco, João ; Figueira, José
Data: 2004
Identificador Persistente: http://hdl.handle.net/10316/7923
Origem: Estudo Geral - Universidade de Coimbra
Detalhes do Documento
A Scatter Search Method for the Bi-Criteria Multi-dimensional 0,1-Knapsack Prob...
Descrição
This paper presents a scatter search (SS) based method for the bi-criteria multi-dimensional knapsack problem. The method is organized according to the usual structure of SS: (1) diversification, (2) improvement, (3) reference set update, (4) subset generation, and (5) solution combination. Surrogate relaxation is used to convert the multi-constraint problem into a single constraint one, which is used in the diversification method and to evaluate the quality of the solutions. The definition of the appropriate surrogate multiplier vector is also discussed. Tests on several sets of large size instances show that the results are of high quality and an accurate description of the entire set of the non-dominated solutions can be obtained within reasonable computational time. Comparisons with other meta-heuristics are also presented. In the tested instances the obtained set of potentially non-dominated solutions dominates the set found with those meta-heuristics. http://dx.doi.org/10.1023/B:JMMA.0000038617.09620.02
This paper presents a scatter search (SS) based method for the bi-criteria multi-dimensional knapsack problem. The method is organized according to the usual structure of SS: (1) diversification, (2) improvement, (3) reference set update, (4) subset generation, and (5) solution combination. Surrogate relaxation is used to convert the multi-constraint problem into a single constraint one, which is used in the diversification method and to evaluate the quality of the solutions. The definition of the appropriate surrogate multiplier vector is also discussed. Tests on several sets of large size instances show that the results are of high quality and an accurate description of the entire set of the non-dominated solutions can be obtained within reasonable computational time. Comparisons with other meta-heuristics are also presented. In the tested instances the obtained set of potentially non-dominated solutions dominates the set found with those meta-heuristics. http://dx.doi.org/10.1023/B:JMMA.0000038617.09620.02
Tipo de Documento
Artigo
Idioma Inglês
Idioma Inglês
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