The DOI matches its Crossref record; 20 of the 20 references it cites were found in a registry or an index.
Quantum-inspired evolutionary algorithm for a class of combinatorial optimization
Abstract
This paper proposes a novel evolutionary algorithm inspired by quantum computing, called a quantum-inspired evolutionary algorithm (QEA), which is based on the concept and principles of quantum computing, such as a quantum bit and superposition of states. Like other evolutionary algorithms, QEA is also characterized by the representation of the individual, evaluation function, and population dynamics. However, instead of binary, numeric, or symbolic representation, QEA uses a Q-bit, defined as the smallest unit of information, for the probabilistic representation and a Q-bit individual as a string of Q-bits. A Q-gate is introduced as a variation operator to drive the individuals toward better solutions. To demonstrate its effectiveness and applicability, experiments were carried out on the knapsack problem, which is a well-known combinatorial optimization problem. The results show that QEA performs well, even with a small population, without premature convergence as compared to the conventional genetic algorithm.
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Cites
Holland, J. H. (1992) · The MIT Press eBooks · doi:10.7551/mitpress/1090.001.0001 · Cited by 47,002
Genetic Algorithms + Data Structures = Evolution Programs
Michalewicz, Z. (1992) · Artificial Intelligence · doi:10.1007/978-3-662-02830-8 · Cited by 11,553
A fast quantum mechanical algorithm for database search
Grover, L. K. (1996) · Proceedings of the twenty-eighth annual ACM symposium on Theory of computing - STOC '96 · doi:10.1145/237814.237866 · Cited by 8,830
Algorithms for quantum computation: discrete logarithms and factoring
Shor, P. W. (2002) · Proceedings 35th Annual Symposium on Foundations of Computer Science · doi:10.1109/sfcs.1994.365700 · Cited by 8,713
Quantum theory, the Church–Turing principle and the universal quantum computer
Deutsch, D. (1985) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1985.0070 · Cited by 4,597
Artificial Intelligence through Simulated Evolution
Fogel, L. J., Owens, A. J., & Walsh, M. J. (1966) · International Linear Collider · Cited by 2,796
Evolutionsstrategie : Optimierung technischer Systeme nach Prinzipien der biologischen Evolution
Rechenberg, I. (1973) · Frommann-Holzboog eBooks · Cited by 2,440
Schwefel, H. (1995) · Cited by 2,203
Benioff, P. (1980) · Journal of Statistical Physics · doi:10.1007/bf01011339 · Cited by 1,244
Genetic Algorithms + Data Structures = Evolution Programs
Rocke, D. M., & Michalewicz, Z. (2000) · Journal of the American Statistical Association · doi:10.2307/2669583 · Cited by 880
Genetic quantum algorithm and its application to combinatorial optimization problem
Han, K.-H., & Kim, J.-H. (2002) · Proceedings of the 2000 Congress on Evolutionary Computation. CEC00 (Cat. No.00TH8512) · doi:10.1109/cec.2000.870809 · Cited by 664
Self-citationQuantum-inspired genetic algorithms
Narayanan, A., & Moore, M. (2002) · Proceedings of IEEE International Conference on Evolutionary Computation · doi:10.1109/icec.1996.542334 · Cited by 649
Genetic algorithms + data structures = evolution programs (3rd ed.)
Michalewicz, Z. (1996) · Springer eBooks · Cited by 553
Simulation of Genetic Systems by Automatic Digital Computers I. Introduction
Fraser, A. (1957) · Australian Journal of Biological Sciences · doi:10.1071/bi9570484 · Cited by 452
Quantum computing: an introduction
Hey, T. (1999) · Computing & Control Engineering Journal · doi:10.1049/cce:19990303 · Cited by 272
Parallel quantum-inspired genetic algorithm for combinatorial optimization problem
Han, K.-H., Park, K.-H., Lee, C.-H., & Kim, J.-H. (2002) · Proceedings of the 2001 Congress on Evolutionary Computation (IEEE Cat. No.01TH8546) · doi:10.1109/cec.2001.934358 · Cited by 190
Self-citationOptimization Through Evolution and Recombination
Bremermann, H. J. (2013) · Cited by 180
Finding a better-than-classical quantum AND/OR algorithm using genetic programming
Spector, L. C., Barnum, H., Bernstein, H. J., & Swamy, N. (2003) · IEEE Congress on Evolutionary Computation (CEC) · doi:10.1109/cec.1999.785553 · Cited by 116
Quantum computing for beginners
Narayanan, A. (2003) · IEEE Congress on Evolutionary Computation (CEC) · doi:10.1109/cec.1999.785552 · Cited by 67
Grover, L. K. (2003) · IEEE Congress on Evolutionary Computation (CEC) · doi:10.1109/cec.1999.785555 · Cited by 26
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Zhou, A., Qu, B.-Y., Li, H., Zhao, S.-Z., Suganthan, P. N., & Zhang, Q. (2011) · Swarm and Evolutionary Computation · doi:10.1016/j.swevo.2011.03.001 · Cited by 2,255
An Evolutionary Algorithm for Large-Scale Sparse Multiobjective Optimization Problems
Tian, Y., Zhang, X., Wang, C., & Jin, Y. (2020) · IEEE Transactions on Evolutionary Computation · doi:10.1109/tevc.2019.2918140 · Cited by 440
Heap-based optimizer inspired by corporate rank hierarchy for global optimization
Askari, Q., Saeed, M., & Younas, I. (2020) · Expert Systems with Applications · doi:10.1016/j.eswa.2020.113702 · Cited by 380
Quantum-inspired evolutionary algorithms: a survey and empirical study
Zhang, G. (2011) · Journal of Heuristics · doi:10.1007/s10732-010-9136-0 · Cited by 295
Quantum-inspired metaheuristic algorithms: comprehensive survey and classification
Gharehchopogh, F. S. (2023) · Artificial Intelligence Review · doi:10.1007/s10462-022-10280-8 · Cited by 253
Metadata
- Authors
- Han, K.-H., & Kim, J.-H.
- Venue
- IEEE Transactions on Evolutionary Computation
- Published
- 2002-12
- Volume
- 6
- Issue
- 6
- Pages
- 580-593
- ISSN
- 1089-778X (ISSN-L)
- OpenAlex
- W2122274805
- Cited by
- 1,585
- References
- 20
- FWCI
- 10.71
- Type
- journal article
- Language
- en
- Open access
- closed
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