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Fitness landscape analysis and memetic algorithms for the quadratic assignment problem

Published: 01 November 2000 Publication History

Abstract

In this paper, a fitness landscape analysis for several instances of the quadratic assignment problem (QAP) is performed, and the results are used to classify problem instances according to their hardness for local search heuristics and meta-heuristics based on local search. The local properties of the fitness landscape are studied by performing an autocorrelation analysis, while the global structure is investigated by employing a fitness distance correlation analysis. It is shown that epistasis, as expressed by the dominance of the flow and distance matrices of a QAP instance, the landscape ruggedness in terms of the correlation length of a landscape, and the correlation between fitness and distance of local optima in the landscape together are useful for predicting the performance of memetic algorithms-evolutionary algorithms incorporating local search (to a certain extent). Thus, based on these properties, a favorable choice of recombination and/or mutation operators can be found. Experiments comparing three different evolutionary operators for a memetic algorithm are presented.

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  • (2023)Impact of Different Discrete Sampling Strategies on Fitness Landscape Analysis Based on HistogramsProceedings of the 13th International Conference on Advances in Information Technology10.1145/3628454.3631563(1-9)Online publication date: 6-Dec-2023
  • (2023)A Fast Fully Parallel Ant Colony Optimization Algorithm Based on CUDA for Solving TSPIET Computers & Digital Techniques10.1049/2023/99157692023Online publication date: 1-Jan-2023
  • (2023)A regression analysis of the impact of routing and packing dependencies on the expected runtimeSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-023-08402-727:17(12099-12115)Online publication date: 27-May-2023
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cover image IEEE Transactions on Evolutionary Computation
IEEE Transactions on Evolutionary Computation  Volume 4, Issue 4
November 2000
95 pages

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IEEE Press

Publication History

Published: 01 November 2000

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Cited By

View all
  • (2023)Impact of Different Discrete Sampling Strategies on Fitness Landscape Analysis Based on HistogramsProceedings of the 13th International Conference on Advances in Information Technology10.1145/3628454.3631563(1-9)Online publication date: 6-Dec-2023
  • (2023)A Fast Fully Parallel Ant Colony Optimization Algorithm Based on CUDA for Solving TSPIET Computers & Digital Techniques10.1049/2023/99157692023Online publication date: 1-Jan-2023
  • (2023)A regression analysis of the impact of routing and packing dependencies on the expected runtimeSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-023-08402-727:17(12099-12115)Online publication date: 27-May-2023
  • (2023)A Fitness Landscape Analysis Approach for Reinforcement Learning in the Control of the Coupled Inverted Pendulum TaskApplications of Evolutionary Computation10.1007/978-3-031-30229-9_5(69-85)Online publication date: 12-Apr-2023
  • (2022)Planning landscape analysis for self-adaptive systemsProceedings of the 17th Symposium on Software Engineering for Adaptive and Self-Managing Systems10.1145/3524844.3528060(84-90)Online publication date: 18-May-2022
  • (2022)Automated Design of Hybrid Metaheuristics: A Fitness Landscape Analysis2022 IEEE Congress on Evolutionary Computation (CEC)10.1109/CEC55065.2022.9870231(1-8)Online publication date: 18-Jul-2022
  • (2022)The fractal geometry of fitness landscapes at the local optima levelNatural Computing: an international journal10.1007/s11047-020-09834-y21:2(317-333)Online publication date: 1-Jun-2022
  • (2022)Fitness Landscape Ruggedness Impact on PSO in Dealing with Three Variants of the Travelling Salesman ProblemLearning and Intelligent Optimization10.1007/978-3-031-24866-5_31(429-444)Online publication date: 5-Jun-2022
  • (2021)Set Theory-Based Operator Design in Evolutionary Algorithms for Solving Knapsack ProblemsIEEE Transactions on Evolutionary Computation10.1109/TEVC.2021.308068325:6(1133-1147)Online publication date: 1-Dec-2021
  • (2021)Predicting Particle Swarm Optimization Control Parameters From Fitness Landscape Characteristics2021 IEEE Congress on Evolutionary Computation (CEC)10.1109/CEC45853.2021.9505006(2289-2298)Online publication date: 28-Jun-2021
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