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Membrane Computing with Genetic Algorithm for the Travelling Salesman Problem

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Theory and Practice of Computation

Part of the book series: Proceedings in Information and Communications Technology ((PICT,volume 7))

Abstract

We propose a heuristic solution to the travelling salesman problem that uses membrane computing to allow for distributed asynchronous parallel computation, and genetic algorithm to select the Hamiltonian cycles that are to be included in the computation in each membrane. We applied this heuristic solution to several asymmetric problems in the TSP Lib website, and obtained solutions that are more costly than the known optimal solutions. We propose modifications to improve this heuristic solution.

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References

  1. Cox, A., Hosi, E., et al.: Maximum number of threads per process in Linux (2011), http://stackoverflow.com/questions/5635362/max-thread-per-process-in-linux

  2. Kjellstrm, G., Gong, Y., Renier, M., et al.: Genetic Algorithm (2012), http://en.wikipedia.org/wiki/Genetic_algorithm

  3. Nishida, T.: Membrane Algorithms: Approximate Algorithms for NP-Complete Optimization Problems (2006), http://www.springerlink.com/content/pw578u2456342074/fulltext.pdf

  4. Paun, G.: Introduction to Membrane Computing, http://psystems.disco.unimib.it/download/MembIntro2004.pdf

  5. Pesko, S.: Enumerating permutations using inversion vectors and factoradic numbering (2007), http://lin-ear-th-inking.blogspot.com/2012/11/enumerating-permutations-using.html

  6. TSPLIB: Library of travelling salesman problems, http://comopt.ifi.uni-heidelberg.de/software/TSPLIB95/

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© 2013 Springer Tokyo

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Manalastas, P. (2013). Membrane Computing with Genetic Algorithm for the Travelling Salesman Problem. In: Nishizaki, Sy., Numao, M., Caro, J., Suarez, M.T. (eds) Theory and Practice of Computation. Proceedings in Information and Communications Technology, vol 7. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54436-4_9

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  • DOI: https://doi.org/10.1007/978-4-431-54436-4_9

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-54435-7

  • Online ISBN: 978-4-431-54436-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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