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A multi-start quantum-inspired evolutionary algorithm for solving combinatorial optimization problems

Published: 12 July 2008 Publication History

Abstract

Quantum-inspired evolutionary algorithms (QIEAs), as a subset of evolutionary computation, are based on the principles of quantum computing such as quantum bits and quantum superposition. In this paper, we propose a multi-start quantum-inspired evolutionary algorithm, called MSQIEA. To improve the performance of the algorithm, a multi-measurement operator and a new strategy for updating the rotation angle is proposed. When Q-bit individuals start to converge to their final states, the best solution is stored and all Q-bits in each Q-bit individual are reinitialized. We compare the effectiveness of MSQIEA with a popular quantum-inspired evolutionary algorithm, called QEA, for solving 0-1 knapsack problem. The experimental results show that MSQIEA outperforms QEA and finds a solution with higher profit.

References

[1]
Han, K.-H. and Kim, J.--H. 2002. Quantum-inspired evolutionary algorithm for a class of combinatorial optimization. IEEE T. Evolut. Comput. 6, 6 (Dec. 2002), 580--593.
[2]
Han, K.-H. and Kim, J.-H. 2004. Quantum-inspired evolutionary algorithms with a new termination criterion, Hµ gate, and two-phase scheme. IEEE T. Evolut. Comput. 8, 2 (April 2004), 156--169.
[3]
Zhang, G. and Rong, H. 2007. Real-observation quantum-inspired evolutionary algorithm for a class of numerical optimization Problems. In Proceedings of the International Conference on Computational Science (Beijing, China, May 27 -- 30, 2007). ICCS '07, LNCS 4490, 989--996.

Cited By

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  • (2021)A Generalized Parallel Quantum Inspired Evolutionary Algorithm Framework for Hard Subset Selection ProblemsResearch Anthology on Advancements in Quantum Technology10.4018/978-1-7998-8593-1.ch003(51-92)Online publication date: 2021
  • (2019)A Generalized Parallel Quantum Inspired Evolutionary Algorithm Framework for Hard Subset Selection ProblemsInternational Journal of Applied Evolutionary Computation10.4018/IJAEC.201910010110:4(1-38)Online publication date: Oct-2019
  • (2017)Towards the right amount of randomness in quantum-inspired evolutionary algorithmsSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-015-1880-521:7(1765-1784)Online publication date: 1-Apr-2017
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Published In

cover image ACM Conferences
GECCO '08: Proceedings of the 10th annual conference on Genetic and evolutionary computation
July 2008
1814 pages
ISBN:9781605581309
DOI:10.1145/1389095
  • Conference Chair:
  • Conor Ryan,
  • Editor:
  • Maarten Keijzer
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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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 12 July 2008

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Author Tags

  1. combinatorial optimization
  2. evolutionary algorithms
  3. knapsack problem
  4. quantum computing

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Overall Acceptance Rate 1,669 of 4,410 submissions, 38%

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Cited By

View all
  • (2021)A Generalized Parallel Quantum Inspired Evolutionary Algorithm Framework for Hard Subset Selection ProblemsResearch Anthology on Advancements in Quantum Technology10.4018/978-1-7998-8593-1.ch003(51-92)Online publication date: 2021
  • (2019)A Generalized Parallel Quantum Inspired Evolutionary Algorithm Framework for Hard Subset Selection ProblemsInternational Journal of Applied Evolutionary Computation10.4018/IJAEC.201910010110:4(1-38)Online publication date: Oct-2019
  • (2017)Towards the right amount of randomness in quantum-inspired evolutionary algorithmsSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-015-1880-521:7(1765-1784)Online publication date: 1-Apr-2017
  • (2015)Quantum-Inspired Evolutionary Algorithm for difficult knapsack problemsMemetic Computing10.1007/s12293-015-0162-17:2(135-155)Online publication date: 21-Apr-2015
  • (2012)Classical and quantum-inspired electromagnetism-like mechanism and its applicationsIET Control Theory & Applications10.1049/iet-cta.2011.03826:10(1424-1433)Online publication date: 5-Jul-2012
  • (2011)A Linear Programming-based Evolutionary Algorithm for the Minimum Power Broadcast Problem in Wireless Sensor NetworksJournal of Mathematical Modelling and Algorithms10.1007/s10852-010-9146-910:2(145-162)Online publication date: 1-Jun-2011
  • (2010)Quantum-Inspired Electromagnetism-Like Mechanism for Solving 0/1 Knapsack Problem2010 2nd International Conference on Information Technology Convergence and Services10.1109/ITCS.2010.5581278(1-6)Online publication date: Aug-2010
  • (2010)Classical and quantum-inspired electromagnetism-like mechanism for solving 0/1 knapsack problems2010 IEEE International Conference on Systems, Man and Cybernetics10.1109/ICSMC.2010.5642288(3211-3218)Online publication date: Oct-2010
  • (2009)A novel quantum-inspired evolutionary algorithm for solving combinatorial optimization problemsProceedings of the 11th Annual conference on Genetic and evolutionary computation10.1145/1569901.1570172(1807-1808)Online publication date: 8-Jul-2009
  • (2009)A new model for credit approval problems: A quantum-inspired neuro-evolutionary algorithm with binary-real representation2009 World Congress on Nature & Biologically Inspired Computing (NaBIC)10.1109/NABIC.2009.5393327(445-450)Online publication date: Dec-2009

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