761
Views
2
CrossRef citations to date
0
Altmetric
Articles

A Memetic Algorithm Based on Breakout Local Search for the Generalized Traveling Salesman Problem

, &

References

  • Ben-Arieh, D., G. Gutin, M. Penn, A. Yeo, and A. Zverovitch. 2003. Transformations of Generalized ATSP into ATSP. Operations Research Letters 31 (5):357–65. Elsevier. doi:10.1016/S0167-6377(03)00031-2.
  • Benlic, U., and J.-K. Hao. 2012. A study of breakout local search for the minimum sum coloring problem. In Simulated evolution and learning, 128–37. Springer.
  • Benlic, U., and J.-K. Hao. 2013a. Breakout local search for maximum clique problems. Computers {&} Operations Research 40 (1):192–206. Elsevier {BV}. doi:10.1016/j.cor.2012.06.002.
  • Benlic, U., and J.-K. Hao. 2013b. Breakout local search for the quadratic assignment problem. Applied Mathematics and Computation 219 (9):4800–15. Elsevier {BV}. doi:10.1016/j.amc.2012.10.106.
  • Benlic, U., and J.-K. Hao. 2013c. Breakout local search for the max-cutproblem. Engineering Applications of Artificial Intelligence 26 (3):1162–73. Elsevier {BV}. doi:10.1016/j.engappai.2012.09.001.
  • Bontoux, B., C. Artigues, and D. Feillet. 2010. A memetic algorithm with a large neighborhood crossover operator for the generalized traveling salesman problem. Computers & Operations Research 37 (11):1844–52. Elsevier. doi:10.1016/j.cor.2009.05.004.
  • Davis, L. 1991. Handbook of Genetic Algorithms.
  • Fischetti, M., J. J. Salazar Gonzalez, and P. Toth. 1997. A branch-and-cut algorithm for the symmetric generalized traveling salesman problem. Operations Research 45 (3):378–94. INFORMS. doi:10.1287/opre.45.3.378.
  • Fu, Z.-H., and J.-K. Hao. 2014. Breakout local search for the steiner tree problem with revenue, budget and hop constraints. European Journal of Operational Research 232 (1):209–20. Elsevier. doi:10.1016/j.ejor.2013.06.048.
  • Ghandi, S., and E. Masehian. 2015. A Breakout Local Search (BLS) method for solving the assembly sequence planning problem. Engineering Applications of Artificial Intelligence 39:245–66. Elsevier. doi:10.1016/j.engappai.2014.12.009.
  • Glover, F. 1989. Tabu search{\textemdash}part I. {ORSA} Journal on Computing 1 (3):190–206. Institute for Operations Research and the Management Sciences ({INFORMS}). doi:10.1287/ijoc.1.3.190.
  • Glover, F. 1990. Tabu search{\textemdash}part {II}. {ORSA} Journal on Computing 2 (1):4–32. Institute for Operations Research and the Management Sciences ({INFORMS}). doi:10.1287/ijoc.2.1.4.
  • Gutin, G., and D. Karapetyan. 2010. A memetic algorithm for the generalized traveling salesman problem. Natural Computing 9 (1):47–60. Springer. doi:10.1007/s11047-009-9111-6.
  • Gutin, G., D. Karapetyan, and N. Krasnogor. 2008. Memetic algorithm for the generalized asymmetric traveling salesman problem. In Nature inspired cooperative strategies for optimization (NICSO 2007), 199–210. Springer.
  • Hart, W. E., N. Krasnogor, and J. E. Smith. 2004. Recent advances in memetic algorithms, vol. 166. Springer Science & Business Media.
  • Henry-Labordere, A. L. 1969. The record balancing problem: A dynamic programming solution of a generalized travelling salesman problem. RIRO B-2:43–49.
  • İlhan, İ.. 2017. An Application On mobile devices with android and IOS operating systems using google maps APIs for the traveling salesman problem. Applied Artificial Intelligence 1–14. Taylor & Francis. doi:10.1080/08839514.2017.1339983
  • Karapetyan, D., and G. Gutin. 2011. Lin–Kernighan heuristic adaptations for the generalized traveling salesman problem. European Journal of Operational Research 208 (3):221–32. Elsevier. doi:10.1016/j.ejor.2010.08.011.
  • Karapetyan, D., and G. Gutin. 2012. Efficient local search algorithms for known and new neighborhoods for the generalized traveling salesman problem. European Journal of Operational Research 219 (2):234–51. Elsevier. doi:10.1016/j.ejor.2012.01.011.
  • Laporte, G., A. Asef-Vaziri, and C. Sriskandarajah. 1996. Some applications of the generalized travelling salesman problem. Journal of the Operational Research Society 47 (12):1461–67. Springer. doi:10.1057/jors.1996.190.
  • Laporte, G., and F. Semet. 1999. Computational evaluation of a transformation procedure for the symmetric generalized traveling salesman problem. INFOR: Information Systems and Operational Research 37 (2):114–20. Taylor & Francis.
  • Laporte, G., H. Mercure, and Y. Nobert. 1987. Generalized travelling salesman problem through N sets of nodes: The asymmetrical case. Discrete Applied Mathematics 18 (2):185–97. Elsevier. doi:10.1016/0166-218X(87)90020-5.
  • Lourenço, H. R., O. C. Martin, and T. Stutzle. 2001. Iterated local search. arXiv Preprint Math/0102188.
  • Martin, O., S. W. Otto, and E. W. Felten. 1991. Large-step Markov chains for the traveling salesman problem. Oregon Graduate Institute of Science and Technology, Department of Computer Science and Engineering.
  • Miller, B. L., and D. E. Goldberg others. 1995. Genetic algorithms, tournament selection, and the effects of noise. Complex Systems 9 (3). [Champaign, IL, USA: Complex Systems Publications, Inc., c1987-… ():193–212. .
  • Noon, C. E., and J. C. Bean. 1991. A lagrangian based approach for the asymmetric generalized traveling salesman problem. Operations Research 39 (4):623–32. INFORMS. doi:10.1287/opre.39.4.623.
  • Noon, C. E., and J. C. Bean. 1993. An efficient transformation of the generalized traveling salesman problem. INFOR: Information Systems and Operational Research 31 (1):39–44. Taylor & Francis.
  • Pourhassan, M., and F. Neumann. 2015. On the impact of local search operators and variable neighbourhood search for the generalized travelling salesperson problem. In Proceedings of the 2015 annual conference on genetic and evolutionary computation, 465–72.
  • Reinelt, G. 1991. {TSPLIB}{\textemdash}A traveling salesman problem library. {ORSA} Journal on Computing 3 (4):376–84. Institute for Operations Research and the Management Sciences ({INFORMS}). doi:10.1287/ijoc.3.4.376.
  • Silberholz, J., and B. Golden. 2007. The generalized traveling salesman problem: A new genetic algorithm approach. In Extending the horizons: Advances in computing, optimization, and decision technologies, 165–81. Springer.
  • Smith, S. L., and F. Imeson. 2017. GLNS: An effective large neighborhood search heuristic for the generalized traveling salesman problem. Computers & Operations Research 87:1–19. Elsevier. doi:10.1016/j.cor.2017.05.010.
  • Snyder, L. V., and M. S. Daskin. 2006. A random-key genetic algorithm for the generalized traveling salesman problem. European Journal of Operational Research 174 (1):38–53. Elsevier. doi:10.1016/j.ejor.2004.09.057.
  • Srivastava, S. S., S. Kumar, R. C. Garg, and P. Sen. 1969. Generalized travelling salesman problem through N Sets of Nodes. CORS Journal 7:97–101.
  • Syswerda, G. 1989. Uniform crossover in genetic algorithms. In Proceedings of the 3rd international conference on genetic algorithms, 2–9. San Francisco, CA, USA: Morgan Kaufmann Publishers Inc. http://dl.acm.org/citation.cfm?id=645512.657265.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.