Dominance relations in unbounded knapsack problems:

Abstract: "The Unbounded Knapsack Problem (UKP) is a generalization of the 0-1 Knapsack Problem where an unlimited amount of each item type is available. In any efficient algorithm for UKP the reduction of dominated item types plays a central role, as the size of an instance may be decreased co...

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Bibliographic Details
Main Author: Pisinger, David (Author)
Format: Book
Language:English
Published: København 1994
Series:Datalogisk Institut <København>: DIKU-Rapport 1994,33
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Summary:Abstract: "The Unbounded Knapsack Problem (UKP) is a generalization of the 0-1 Knapsack Problem where an unlimited amount of each item type is available. In any efficient algorithm for UKP the reduction of dominated item types plays a central role, as the size of an instance may be decreased considerably this way. Traditionally the dominance test has been based on a sorting of the item types according to non-increasing profit-to-weight ratios, but a faster reduction may be obtained by sorting according to nondecreasing weights, since then the so- called quotient jumping technique may be applied. Computational experiments are presented to demonstrate the efficiency of the presented algorithm."
Physical Description:10 S.