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The Multi-Vehicle Probabilistic Covering Tour Problem

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  • Karaoğlan, İsmail
  • Erdoğan, Güneş
  • Koç, Çağrı

Abstract

This paper introduces the Multi-Vehicle Probabilistic Covering Tour Problem (MVPCTP) which extends the Covering Tour Problem (CTP) by incorporating multiple vehicles and probabilistic coverage. As in the CTP, total demand of customers is attracted to the visited facility vertices within the coverage range. The objective function is to maximize the expected customer demand covered. The MVPCTP is first formulated as an integer non-linear programming problem, and then a linearization is proposed, which is strengthened by several sets of valid inequalities. An effective branch-and-cut algorithm is developed in addition to a local search heuristic based on Variable Neighborhood Search to obtain upper bounds. Extensive computational experiments are performed on new benchmark instances adapted from the literature.

Suggested Citation

  • Karaoğlan, İsmail & Erdoğan, Güneş & Koç, Çağrı, 2018. "The Multi-Vehicle Probabilistic Covering Tour Problem," European Journal of Operational Research, Elsevier, vol. 271(1), pages 278-287.
    • Handle: RePEc:eee:ejores:v:271:y:2018:i:1:p:278-287
    DOI: 10.1016/j.ejor.2018.05.005
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    References listed on IDEAS

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    1. Marshall L. Fisher, 1994. "Optimal Solution of Vehicle Routing Problems Using Minimum K-Trees," Operations Research, INFORMS, vol. 42(4), pages 626-642, August.
    2. David A. Flores-Garza & M. Angélica Salazar-Aguilar & Sandra Ulrich Ngueveu & Gilbert Laporte, 2017. "The multi-vehicle cumulative covering tour problem," Annals of Operations Research, Springer, vol. 258(2), pages 761-780, November.
    3. Karaoglan, Ismail & Altiparmak, Fulya & Kara, Imdat & Dengiz, Berna, 2011. "A branch and cut algorithm for the location-routing problem with simultaneous pickup and delivery," European Journal of Operational Research, Elsevier, vol. 211(2), pages 318-332, June.
    4. Gouveia, Luis, 1995. "A result on projection for the vehicle routing ptoblem," European Journal of Operational Research, Elsevier, vol. 85(3), pages 610-624, September.
    5. Mark S. Daskin, 1983. "A Maximum Expected Covering Location Model: Formulation, Properties and Heuristic Solution," Transportation Science, INFORMS, vol. 17(1), pages 48-70, February.
    6. Andreas Stenger & Daniele Vigo & Steffen Enz & Michael Schwind, 2013. "An Adaptive Variable Neighborhood Search Algorithm for a Vehicle Routing Problem Arising in Small Package Shipping," Transportation Science, INFORMS, vol. 47(1), pages 64-80, February.
    7. Hemmelmayr, Vera C. & Doerner, Karl F. & Hartl, Richard F., 2009. "A variable neighborhood search heuristic for periodic routing problems," European Journal of Operational Research, Elsevier, vol. 195(3), pages 791-802, June.
    8. Kalayci, Can B. & Kulak, Osman & Günther, Hans-Otto, 2015. "A perturbation based variable neighborhood search heuristic for solving the Vehicle Routing Problem with Simultaneous Pickup and Delivery with Time LimitAuthor-Name: Polat, Olcay," European Journal of Operational Research, Elsevier, vol. 242(2), pages 369-382.
    9. Caunhye, Aakil M. & Nie, Xiaofeng & Pokharel, Shaligram, 2012. "Optimization models in emergency logistics: A literature review," Socio-Economic Planning Sciences, Elsevier, vol. 46(1), pages 4-13.
    10. Michel Gendreau & Gilbert Laporte & Frédéric Semet, 1997. "The Covering Tour Problem," Operations Research, INFORMS, vol. 45(4), pages 568-576, August.
    11. de la Torre, Luis E. & Dolinskaya, Irina S. & Smilowitz, Karen R., 2012. "Disaster relief routing: Integrating research and practice," Socio-Economic Planning Sciences, Elsevier, vol. 46(1), pages 88-97.
    12. Irnich, S. & Schneider, M. & Vigo, D., 2014. "Four Variants of the Vehicle Routing Problem," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 63514, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    13. Gilbert Laporte, 2009. "Fifty Years of Vehicle Routing," Transportation Science, INFORMS, vol. 43(4), pages 408-416, November.
    14. Erdogan, Günes & Cordeau, Jean-François & Laporte, Gilbert, 2010. "The Attractive Traveling Salesman Problem," European Journal of Operational Research, Elsevier, vol. 203(1), pages 59-69, May.
    15. Naji-Azimi, Z. & Renaud, J. & Ruiz, A. & Salari, M., 2012. "A covering tour approach to the location of satellite distribution centers to supply humanitarian aid," European Journal of Operational Research, Elsevier, vol. 222(3), pages 596-605.
    16. Maria Battarra & Güneş Erdoğan & Daniele Vigo, 2014. "Exact Algorithms for the Clustered Vehicle Routing Problem," Operations Research, INFORMS, vol. 62(1), pages 58-71, February.
    17. Hà, Minh Hoàng & Bostel, Nathalie & Langevin, André & Rousseau, Louis-Martin, 2013. "An exact algorithm and a metaheuristic for the multi-vehicle covering tour problem with a constraint on the number of vertices," European Journal of Operational Research, Elsevier, vol. 226(2), pages 211-220.
    18. Altay, Nezih & Green III, Walter G., 2006. "OR/MS research in disaster operations management," European Journal of Operational Research, Elsevier, vol. 175(1), pages 475-493, November.
    19. Allahyari, Somayeh & Salari, Majid & Vigo, Daniele, 2015. "A hybrid metaheuristic algorithm for the multi-depot covering tour vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 242(3), pages 756-768.
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