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Efficient linear systolic array for the knapsack problem

Rumen Andonov 1 Patrice Quinton 1
1 API - Parallel VLSI Architectures
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, INRIA Rennes
Abstract : A processor-efficient systolic algorithm for the dynamic programming approach to the knapsack problem is presented in this paper. The algorithm is implemented on a linear systolic array where the number of cells q, the cell memory storage a and the input/output requirements are design parameters. These are independent of the problem size given by the number of the objects m and the knapsack capacity c. The time complexity of the algorithm is Q(mc/q+m) and both the time speedup and the processor efficiency are asymptotically optimal. A new procedure for the backtracking phase of the algorithm with a time complexity Q(m) is also proposed. It is an improvement on the usual strategies used for back-tracking which have a time complexity Q(m+c).
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https://hal.inria.fr/inria-00074896
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Submitted on : Wednesday, May 24, 2006 - 4:49:39 PM
Last modification on : Friday, February 4, 2022 - 3:23:02 AM
Long-term archiving on: : Tuesday, April 12, 2011 - 7:57:51 PM

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  • HAL Id : inria-00074896, version 1

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Rumen Andonov, Patrice Quinton. Efficient linear systolic array for the knapsack problem. [Research Report] RR-1661, INRIA. 1992. ⟨inria-00074896⟩

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