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Solving Combinatorial Optimization Problems

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Discrete Cuckoo Search for Combinatorial Optimization

Part of the book series: Springer Tracts in Nature-Inspired Computing ((STNIC))

Abstract

As known, most of the combinatorial optimization problems are NP-hard in terms of complexity, and they are solved as part of one of the three predefined classifications: solution construction, solution improvement (or trajectory algorithms), and population-based metaheuristics. It is also known that it is practically very difficult to have both an optimal solution quality and a reduced computation time. Indeed, most conventional algorithms make the choice between a high quality of the solution and an exponential computation time, or a solution of modest quality and a polynomial time. The third choice offers a good (not necessarily optimal) solution in a reasonable computation time.

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References

  • Basturk B, Karaboga D (2006) An artificial bee colony (abc) algorithm for numeric function optimization. In: IEEE swarm intelligence symposium, pp 12–14

    Google Scholar 

  • Colorni A, Dorigo M, Maniezzo V (1991) Distributed optimization by ant colonies. In: Proceedings of the first European conference on artificial life, vol 142. Paris, France, pp 134–142

    Google Scholar 

  • Darwin C (1998) The origin of the species

    Google Scholar 

  • Dorigo M, Birattari M (2010) Ant colony optimization. In: Encyclopedia of machine learning. Springer, pp 36–39

    Google Scholar 

  • Dorigo M, Gambardella LM et al (1997) Ant colonies for the travelling salesman problem. BioSyst 43(2):73–82

    Article  Google Scholar 

  • Holland J (1975) Adaptation in natural and artificial systems

    Google Scholar 

  • Kennedy J, Eberhart R (1995) Particle swarm optimization. In: IEEE international conference on proceedings neural networks, 1995, vol 4. IEEE, pp 1942–1948

    Google Scholar 

  • Ouaarab A, Ahiod B, Yang X-S (2015) Random-key cuckoo search for the travelling salesman problem. Soft Comput 19(4):1099–1106

    Article  Google Scholar 

  • Ouaarab A, Yang X-S (2016) Cuckoo search: from cuckoo reproduction strategy to combinatorial optimization. In: Nature-inspired computation in engineering. Springer, pp 91–110

    Google Scholar 

  • Quijano N, Passino KM (2010) Honey bee social foraging algorithms for resource allocation: theory and application. Eng Appl Artif Intell 23(6):845–861

    Article  Google Scholar 

  • Shi X, Liang Y, Lee H, Lu C, Wang Q (2007) Particle swarm optimization-based algorithms for tsp and generalized tsp. Inf Process Lett 103(5):169–176

    Article  MathSciNet  Google Scholar 

  • Wang K-P, Huang L, Zhou C-G, Pang W (2003) Particle swarm optimization for traveling salesman problem. In: 2003 international conference on machine learning and cybernetics, vol 3. IEEE, pp 1583–1585

    Google Scholar 

  • Yang X-S (2009a) Firefly algorithm, lvy flights and global optimization, pp 209–218

    Google Scholar 

  • Yang X-S (2009b) Firefly algorithms for multimodal optimization. Stochastic algorithms: foundations and applications, pp 169–178

    Google Scholar 

  • Yang X-S (2010) Engineering optimization: an introduction with metaheuristic applications. Wiley, USA

    Google Scholar 

Download references

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Correspondence to Aziz Ouaarab .

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Ouaarab, A. (2020). Solving Combinatorial Optimization Problems. In: Discrete Cuckoo Search for Combinatorial Optimization. Springer Tracts in Nature-Inspired Computing. Springer, Singapore. https://doi.org/10.1007/978-981-15-3836-0_3

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