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Software vendors travel management decisions using an elitist nonhomogeneous genetic algorithm

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Listed:
  • Jana, R.K.
  • Mitra, Subrata K.
  • Sharma, Dinesh K.

Abstract

Vendors supplying software need to travel various places for product installation, troubleshooting, maintenance, upgrading, and promoting new products. These problems can be classified under asymmetric traveling salesman problems. Also, they are NP-hard in nature. In this paper, a new class of asymmetric traveling salesman problems is studied in which travel times are stochastic. We consider travel times as double truncated lognormal random variable and obtain the deterministic equivalent of the stochastic problem. An elitist nonhomogeneous genetic algorithm is proposed to solve this problem. The genetic algorithm control parameters, crossover and mutation probabilities vary in each successive generation. The best chromosome having the minimum travel time, together with the optimum crossover and mutation probabilities are selected using an elitist strategy. It is proved that the proposed algorithm follows a nonhomogeneous Markov chain process and almost certainly converges to the population that contains the optimal solution. Two case examples are presented to demonstrate the usefulness of the proposed approach.

Suggested Citation

  • Jana, R.K. & Mitra, Subrata K. & Sharma, Dinesh K., 2018. "Software vendors travel management decisions using an elitist nonhomogeneous genetic algorithm," International Journal of Production Economics, Elsevier, vol. 202(C), pages 123-131.
    • Handle: RePEc:eee:proeco:v:202:y:2018:i:c:p:123-131
    DOI: 10.1016/j.ijpe.2018.05.025
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    References listed on IDEAS

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    1. Sharma, Dinesh K. & Jana, R.K., 2009. "A hybrid genetic algorithm model for transshipment management decisions," International Journal of Production Economics, Elsevier, vol. 122(2), pages 703-713, December.
    2. Rego, César & Gamboa, Dorabela & Glover, Fred & Osterman, Colin, 2011. "Traveling salesman problem heuristics: Leading methods, implementations and latest advances," European Journal of Operational Research, Elsevier, vol. 211(3), pages 427-441, June.
    3. Jin, Mingzhou & Liu, Kai & Bowden, Royce O., 2007. "A two-stage algorithm with valid inequalities for the split delivery vehicle routing problem," International Journal of Production Economics, Elsevier, vol. 105(1), pages 228-242, January.
    4. G. Dantzig & R. Fulkerson & S. Johnson, 1954. "Solution of a Large-Scale Traveling-Salesman Problem," Operations Research, INFORMS, vol. 2(4), pages 393-410, November.
    5. Löhndorf, Nils & Riel, Manuel & Minner, Stefan, 2014. "Simulation optimization for the stochastic economic lot scheduling problem with sequence-dependent setup times," International Journal of Production Economics, Elsevier, vol. 157(C), pages 170-176.
    6. Ferreira, Deisemara & Clark, Alistair R. & Almada-Lobo, Bernardo & Morabito, Reinaldo, 2012. "Single-stage formulations for synchronised two-stage lot sizing and scheduling in soft drink production," International Journal of Production Economics, Elsevier, vol. 136(2), pages 255-265.
    7. John D. C. Little & Katta G. Murty & Dura W. Sweeney & Caroline Karel, 1963. "An Algorithm for the Traveling Salesman Problem," Operations Research, INFORMS, vol. 11(6), pages 972-989, December.
    8. Li, Xiangyong & Tian, Peng & Leung, Stephen C.H., 2010. "Vehicle routing problems with time windows and stochastic travel and service times: Models and algorithm," International Journal of Production Economics, Elsevier, vol. 125(1), pages 137-145, May.
    9. Wang, Hsiao-Fan & Chen, Ying-Yen, 2013. "A coevolutionary algorithm for the flexible delivery and pickup problem with time windows," International Journal of Production Economics, Elsevier, vol. 141(1), pages 4-13.
    10. Ceranoglu, Ahmet N. & Duman, Ekrem, 2013. "VRP12 (vehicle routing problem with distances one and two) with side constraints," International Journal of Production Economics, Elsevier, vol. 144(2), pages 461-467.
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