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Quantum inspired evolutionary algorithms with improved rotation gates for real-coded synthetic and real world optimization problems

Published: 01 January 2017 Publication History

Abstract

We investigate two modified Quantum Evolutionary methods for solving real value problems. The Quantum Inspired Evolutionary Algorithms (QIEA) were originally used for solving binary encoded problems and their signature features follow superposition of multiple states on a quantum bit and a rotation gate. In order to apply this paradigm to real value problems, we propose two quantum methods Half Significant Bit (HSB) and Stepwise Real QEA (SRQEA), developed using binary and real encoding respectively, while keeping close to the original quantum computing metaphor. We evaluate our approaches against sets of multimodal mathematical test functions and real world problems, using five performance metrics and include comparisons to published results. We report the issues encountered while implementing some of the published real QIEA techniques. Our methods focus on introducing and implementing new rotation gate operators used for evolution, including a novel mechanism for preventing premature convergence in the binary algorithm. The applied performance metrics show superior results for our quantum methods on most of the test problems (especially for the more complex and challenging ones), demonstrating faster convergence and accuracy.

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Cited By

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  • (2023)Quantum-inspired evolutionary algorithms on continuous space multiobjective problemsSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-022-06916-027:18(13143-13164)Online publication date: 1-Sep-2023
  • (2022)A survey on binary metaheuristic algorithms and their engineering applicationsArtificial Intelligence Review10.1007/s10462-022-10328-956:7(6101-6167)Online publication date: 21-Nov-2022

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          Published In

          cover image Integrated Computer-Aided Engineering
          Integrated Computer-Aided Engineering  Volume 24, Issue 3
          2017
          110 pages

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          IOS Press

          Netherlands

          Publication History

          Published: 01 January 2017

          Author Tags

          1. Quantum evolutionary methods
          2. estimation of distribution algorithms
          3. performance metrics
          4. global optimization
          5. multimodal functions
          6. real value problems

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          • (2023)Quantum-inspired evolutionary algorithms on continuous space multiobjective problemsSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-022-06916-027:18(13143-13164)Online publication date: 1-Sep-2023
          • (2022)A survey on binary metaheuristic algorithms and their engineering applicationsArtificial Intelligence Review10.1007/s10462-022-10328-956:7(6101-6167)Online publication date: 21-Nov-2022

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