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 memory requirements bounded by O(nb). The algorithm was implemented in a workstation and computational tests for varying values of the parameters were performed.

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Bibliographic Details
Main Authors: Yanasse,Horacio Hideki, Soma,Nei Yoshihiro, Maculan,Nelson
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Pesquisa Operacional 2000
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382000000100011
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