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Landscape Properties of the 0-1 Knapsack Problem

Published: 11 July 2015 Publication History

Abstract

This paper studies two landscapes of different instances of the 0-1 knapsack problem. The instances are generated randomly from varied weight distributions. We show that the variation of the weights can be used to guide the selection of the most suitable local search operator for a given instance.

References

[1]
K. Alyahya and J. E. Rowe. Local optima and weight distribution in the number partitioning problem. In PPSN XIII, volume 8672, pages 862--871. 2014.
[2]
J. Gottlieb. On the feasibility problem of penalty-based evolutionary algorithms for knapsack problems. In Applications of Evolutionary Computing, volume 2037, pages 50--59. 2001.
[3]
Z. Michalewicz and J. Arabas. Genetic algorithms for the 0/1 knapsack problem. In Methodologies for Intelligent Systems, volume 869, pages 134--143. 1994.
[4]
D. Pisinger. Where are the hard knapsack problems? Comput. Oper. Res., 32(9):2271--2284, 2005.
[5]
P. F. Stadler. Fitness landscapes. In Biological Evolution and Statistical Physics, volume 585, pages 183--204. 2002.

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  1. Landscape Properties of the 0-1 Knapsack Problem

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    cover image ACM Conferences
    GECCO Companion '15: Proceedings of the Companion Publication of the 2015 Annual Conference on Genetic and Evolutionary Computation
    July 2015
    1568 pages
    ISBN:9781450334884
    DOI:10.1145/2739482
    Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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    Publication History

    Published: 11 July 2015

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    Author Tags

    1. constraint handling
    2. fitness landscapes
    3. instance difficulty

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