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Reoptimization times of evolutionary algorithms on linear functions under dynamic uniform constraints

Published: 01 July 2017 Publication History

Abstract

The investigations of linear pseudo-Boolean functions play a central role in the area of runtime analysis of evolutionary computing techniques. Having an additional linear constraint on a linear function is equivalent to the NP-hard knapsack problem and special problem classes thereof have been investigated in recent works. In this paper, we extend these studies to problems with dynamic constraints and investigate the runtime of different evolutionary algorithms to recompute an optimal solution when the constraint bound changes by a certain amount. We study the classical (1+1) EA and population-based algorithms and show that they recompute an optimal solution very efficiently. Furthermore, we show that a variant of the (1+(λ, λ)) GA can recompute the optimal solution more efficiently in some cases.

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Cited By

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  • (2020)Specific single- and multi-objective evolutionary algorithms for the chance-constrained knapsack problemProceedings of the 2020 Genetic and Evolutionary Computation Conference10.1145/3377930.3390162(271-279)Online publication date: 25-Jun-2020
  • (2019)Evolutionary algorithms for the chance-constrained knapsack problemProceedings of the Genetic and Evolutionary Computation Conference10.1145/3321707.3321869(338-346)Online publication date: 13-Jul-2019
  • (2019)Runtime analysis of randomized search heuristics for dynamic graph coloringProceedings of the Genetic and Evolutionary Computation Conference10.1145/3321707.3321792(1443-1451)Online publication date: 13-Jul-2019
  • Show More Cited By

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cover image ACM Conferences
GECCO '17: Proceedings of the Genetic and Evolutionary Computation Conference
July 2017
1427 pages
ISBN:9781450349208
DOI:10.1145/3071178
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 the author(s) 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: 01 July 2017

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Author Tags

  1. dynamic constraint
  2. evolutionary algorithm
  3. reoptimization time
  4. runtime analysis
  5. uniform constraint

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GECCO '17 Paper Acceptance Rate 178 of 462 submissions, 39%;
Overall Acceptance Rate 1,669 of 4,410 submissions, 38%

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Cited By

View all
  • (2020)Specific single- and multi-objective evolutionary algorithms for the chance-constrained knapsack problemProceedings of the 2020 Genetic and Evolutionary Computation Conference10.1145/3377930.3390162(271-279)Online publication date: 25-Jun-2020
  • (2019)Evolutionary algorithms for the chance-constrained knapsack problemProceedings of the Genetic and Evolutionary Computation Conference10.1145/3321707.3321869(338-346)Online publication date: 13-Jul-2019
  • (2019)Runtime analysis of randomized search heuristics for dynamic graph coloringProceedings of the Genetic and Evolutionary Computation Conference10.1145/3321707.3321792(1443-1451)Online publication date: 13-Jul-2019
  • (2019)Fast re-optimization via structural diversityProceedings of the Genetic and Evolutionary Computation Conference10.1145/3321707.3321731(233-241)Online publication date: 13-Jul-2019
  • (2019)Runtime analysis of RLS and (1 + 1) EA for the dynamic weighted vertex cover problemTheoretical Computer Science10.1016/j.tcs.2019.03.003Online publication date: Mar-2019
  • (2019)Reoptimization Time Analysis of Evolutionary Algorithms on Linear Functions Under Dynamic Uniform ConstraintsAlgorithmica10.1007/s00453-018-0451-481:2(828-857)Online publication date: 15-Feb-2019
  • (2018)Runtime analysis of randomized search heuristics for the dynamic weighted vertex cover problemProceedings of the Genetic and Evolutionary Computation Conference10.1145/3205455.3205580(1515-1522)Online publication date: 2-Jul-2018
  • (2018)A new analysis method for evolutionary optimization of dynamic and noisy objective functionsProceedings of the Genetic and Evolutionary Computation Conference10.1145/3205455.3205563(1467-1474)Online publication date: 2-Jul-2018
  • (2018)On the Performance of Baseline Evolutionary Algorithms on the Dynamic Knapsack ProblemParallel Problem Solving from Nature – PPSN XV10.1007/978-3-319-99253-2_13(158-169)Online publication date: 22-Aug-2018
  • (2017)Parameterized analysis of bio-inspired computing2017 IEEE Symposium Series on Computational Intelligence (SSCI)10.1109/SSCI.2017.8285451(1-3)Online publication date: Nov-2017
  • Show More Cited By

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