An algorithm for determining the K-best solutions of the one-dimensional Knapsack problem
In this work we present an enumerative scheme for determining the K-best solutions (K > 1) of the one dimensional knapsack problem. If n is the total number of different items and b is the knapsack's capacity, the computational complexity of the proposed scheme is bounded by O(Knb) with memo...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Pesquisa Operacional
2000-06-01
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| Series: | Pesquisa Operacional |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382000000100011 |
| Summary: | In this work we present an enumerative scheme for determining the K-best solutions (K > 1) of the one dimensional knapsack problem. If n is the total number of different items and b is the knapsack's capacity, the computational complexity of the proposed scheme is bounded by O(Knb) with memory requirements bounded by O(nb). The algorithm was implemented in a workstation and computational tests for varying values of the parameters were performed.<br>Neste trabalho apresenta-se um esquema enumerativo para se determinar as K-melhores (K > 1) soluções para o problema da mochila unidimensional. Se n é o número total de itens diferentes e b é a capacidade da mochila, a complexidade computacional do esquema proposto é limitado por O(Knb). O algoritmo foi implementado em uma estação de trabalho e testes computacionais foram realizados variando-se diferentes parâmetros do problema. |
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| ISSN: | 0101-7438 1678-5142 |