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Elementary landscapes of frequency assignment problems

Published: 07 July 2010 Publication History

Abstract

We analyze various forms of the Frequency Assignment Problem using the theory of elementary landscapes. We show that three variants of the Frequency Assignment Problem are either directly an Elementary Landscape, or are a superposition of two Elementary Landscapes. We also examine the computability of neighborhood averages for partial neighborhoods.

References

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F. Luna, C. Blum, E. Alba, A. J. Nebro, ACO vs EAs for solving a real-world frequency assignment problem in GSM networks, in: Genetic and Evolutionary Computation Conference (GECCO 2007), 2007, pp. 94--101.
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A. Solomon, J. W. Barnes, S. P. Dokov, and R. Acevedo. Weakly symmetric graphs, elementary landscapes, and the TSP. Appl. Math. Lett., 16(3):401--407, 2003.
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A. Sutton, D. Whitley and A. Howe. A Polynomial Time Computation of the Exact Correlation Structure of k-Satisfiability Landscapes. In Genetic and Evolutionary Computation Conference, pages 365--372. ACM. July 2009.
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Cited By

View all
  • (2013)Rugged and Elementary LandscapesTheory and Principled Methods for the Design of Metaheuristics10.1007/978-3-642-33206-7_3(41-61)Online publication date: 12-Nov-2013
  • (2012)Quasi-elementary Landscapes and Superpositions of Elementary LandscapesRevised Selected Papers of the 6th International Conference on Learning and Intelligent Optimization - Volume 721910.5555/2961491.2961512(277-291)Online publication date: 16-Jan-2012
  • (2012)Parallel metaheuristics: recent advances and new trendsInternational Transactions in Operational Research10.1111/j.1475-3995.2012.00862.x20:1(1-48)Online publication date: 13-Aug-2012
  • Show More Cited By

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cover image ACM Conferences
GECCO '10: Proceedings of the 12th annual conference on Genetic and evolutionary computation
July 2010
1520 pages
ISBN:9781450300728
DOI:10.1145/1830483
Permission to make digital or hard copies of all or part 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 components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Publication History

Published: 07 July 2010

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  1. elementary landscapes
  2. fitness landscapes

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Cited By

View all
  • (2013)Rugged and Elementary LandscapesTheory and Principled Methods for the Design of Metaheuristics10.1007/978-3-642-33206-7_3(41-61)Online publication date: 12-Nov-2013
  • (2012)Quasi-elementary Landscapes and Superpositions of Elementary LandscapesRevised Selected Papers of the 6th International Conference on Learning and Intelligent Optimization - Volume 721910.5555/2961491.2961512(277-291)Online publication date: 16-Jan-2012
  • (2012)Parallel metaheuristics: recent advances and new trendsInternational Transactions in Operational Research10.1111/j.1475-3995.2012.00862.x20:1(1-48)Online publication date: 13-Aug-2012
  • (2012)Quasi-elementary Landscapes and Superpositions of Elementary LandscapesLearning and Intelligent Optimization10.1007/978-3-642-34413-8_20(277-291)Online publication date: 2012
  • (2011)Elementary landscape decomposition of the frequency assignment problemTheoretical Computer Science10.1016/j.tcs.2011.02.011412:43(6002-6019)Online publication date: 1-Oct-2011

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