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A new algorithm for the Integer Knapsack Problem and its parallelization
Authors:F. Almeida  F. García  D. Morales  J. Roda  C. Rodríguez
Affiliation:(1) Departamento de Estadística, Investigación Operativa y Computación, Universidad de La Laguna, La Laguna, Spain
Abstract:
Summary A new sequential algorithm with complexityO(M 2+n) for an Integer Knapsack Problem with capacityM andn objects is proposed. The correspondentO(M 2/p+n) parallel algorithm runs on a ring machine withp processors. Computational results on both a local area network and a transputer network are reported.
Keywords:Dynamic Programming  Integer Programming  Knapsack Problem  Parallel Computing  Transputer Networks  PVM
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