IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v220y2012i2p349-360.html
   My bibliography  Save this article

The close–open mixed vehicle routing problem

Author

Listed:
  • Liu, Ran
  • Jiang, Zhibin

Abstract

We consider the Close–Open Mixed Vehicle Routing Problem (COMVRP) in this paper. The COMVRP differs from the classical vehicle routing problems because simultaneously considering open and close routes in the solution of the problem. The objective of the problem is to minimize the fixed and variable costs for operating the open and close routes. No attention was devoted to this problem. A mix integer programming (MIP) model and an effective metheuristic, i.e., memetic algorithm, are established for the COMVRP. Computational experiments are conducted. The results of experiments show that the proposed metheuristic algorithm is able to produce satisfied solutions within an acceptable running time, and outperforms the robust MIP solver CPLEX.

Suggested Citation

  • Liu, Ran & Jiang, Zhibin, 2012. "The close–open mixed vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 220(2), pages 349-360.
  • Handle: RePEc:eee:ejores:v:220:y:2012:i:2:p:349-360
    DOI: 10.1016/j.ejor.2012.01.061
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221712000999
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2012.01.061?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Liu, Shuguang & Huang, Weilai & Ma, Huiming, 2009. "An effective genetic algorithm for the fleet size and mix vehicle routing problems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(3), pages 434-445, May.
    2. Michel Gendreau & Alain Hertz & Gilbert Laporte, 1994. "A Tabu Search Heuristic for the Vehicle Routing Problem," Management Science, INFORMS, vol. 40(10), pages 1276-1290, October.
    3. Derigs, U. & Kaiser, R., 2007. "Applying the attribute based hill climber heuristic to the vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 177(2), pages 719-732, March.
    4. G. B. Dantzig & J. H. Ramser, 1959. "The Truck Dispatching Problem," Management Science, INFORMS, vol. 6(1), pages 80-91, October.
    5. Letchford, Adam N. & Lysgaard, Jens & Eglese, Richard W., 2006. "A Branch-and-Cut Algorithm for the Capacitated Open Vehicle Routing Problem," CORAL Working Papers L-2006-06, University of Aarhus, Aarhus School of Business, Department of Business Studies.
    6. Olli Bräysy & Michel Gendreau, 2005. "Vehicle Routing Problem with Time Windows, Part I: Route Construction and Local Search Algorithms," Transportation Science, INFORMS, vol. 39(1), pages 104-118, February.
    7. Côté, Jean-François & Potvin, Jean-Yves, 2009. "A tabu search heuristic for the vehicle routing problem with private fleet and common carrier," European Journal of Operational Research, Elsevier, vol. 198(2), pages 464-469, October.
    8. Olli Bräysy & Michel Gendreau, 2005. "Vehicle Routing Problem with Time Windows, Part II: Metaheuristics," Transportation Science, INFORMS, vol. 39(1), pages 119-139, February.
    9. D Sariklis & S Powell, 2000. "A heuristic method for the open vehicle routing problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(5), pages 564-573, May.
    10. Crevier, Benoit & Cordeau, Jean-Francois & Laporte, Gilbert, 2007. "The multi-depot vehicle routing problem with inter-depot routes," European Journal of Operational Research, Elsevier, vol. 176(2), pages 756-773, January.
    11. Hertz, Alain & Widmer, Marino, 2003. "Guidelines for the use of meta-heuristics in combinatorial optimization," European Journal of Operational Research, Elsevier, vol. 151(2), pages 247-252, December.
    12. X-Y Li & P Tian & S C H Leung, 2009. "An ant colony optimization metaheuristic hybridized with tabu search for open vehicle routing problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(7), pages 1012-1025, July.
    13. Salhi, S. & Sari, M., 1997. "A multi-level composite heuristic for the multi-depot vehicle fleet mix problem," European Journal of Operational Research, Elsevier, vol. 103(1), pages 95-112, November.
    14. Chu, Ching-Wu, 2005. "A heuristic algorithm for the truckload and less-than-truckload problem," European Journal of Operational Research, Elsevier, vol. 165(3), pages 657-667, September.
    15. Marius M. Solomon, 1987. "Algorithms for the Vehicle Routing and Scheduling Problems with Time Window Constraints," Operations Research, INFORMS, vol. 35(2), pages 254-265, April.
    16. G. Clarke & J. W. Wright, 1964. "Scheduling of Vehicles from a Central Depot to a Number of Delivery Points," Operations Research, INFORMS, vol. 12(4), pages 568-581, August.
    17. Azi, Nabila & Gendreau, Michel & Potvin, Jean-Yves, 2010. "An exact algorithm for a vehicle routing problem with time windows and multiple use of vehicles," European Journal of Operational Research, Elsevier, vol. 202(3), pages 756-763, May.
    18. Liu, Ran & Jiang, Zhibin & Liu, Xiao & Chen, Feng, 2010. "Task selection and routing problems in collaborative truckload transportation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(6), pages 1071-1085, November.
    19. Jean-François Cordeau & Michel Gendreau & Alain Hertz & Gilbert Laporte & Jean-Sylvain Sormany, 2005. "New Heuristics for the Vehicle Routing Problem," Springer Books, in: André Langevin & Diane Riopel (ed.), Logistics Systems: Design and Optimization, chapter 0, pages 279-297, Springer.
    20. N. R. Achuthan & L. Caccetta & S. P. Hill, 2003. "An Improved Branch-and-Cut Algorithm for the Capacitated Vehicle Routing Problem," Transportation Science, INFORMS, vol. 37(2), pages 153-169, May.
    21. Repoussis, P.P. & Paraskevopoulos, D.C. & Zobolas, G. & Tarantilis, C.D. & Ioannou, G., 2009. "A web-based decision support system for waste lube oils collection and recycling," European Journal of Operational Research, Elsevier, vol. 195(3), pages 676-700, June.
    22. Gilbert Laporte, 2009. "Fifty Years of Vehicle Routing," Transportation Science, INFORMS, vol. 43(4), pages 408-416, November.
    23. Kara, Imdat & Laporte, Gilbert & Bektas, Tolga, 2004. "A note on the lifted Miller-Tucker-Zemlin subtour elimination constraints for the capacitated vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 158(3), pages 793-795, November.
    24. Bolduc, Marie-Claude & Renaud, Jacques & Boctor, Fayez, 2007. "A heuristic for the routing and carrier selection problem," European Journal of Operational Research, Elsevier, vol. 183(2), pages 926-932, December.
    25. Gilbert Laporte & Yves Nobert & Martin Desrochers, 1985. "Optimal Routing under Capacity and Distance Restrictions," Operations Research, INFORMS, vol. 33(5), pages 1050-1073, October.
    26. Chung-Lun Li & David Simchi-Levi & Martin Desrochers, 1992. "On the Distance Constrained Vehicle Routing Problem," Operations Research, INFORMS, vol. 40(4), pages 790-799, August.
    27. J-F Cordeau & M Gendreau & G Laporte & J-Y Potvin & F Semet, 2002. "A guide to vehicle routing heuristics," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(5), pages 512-522, May.
    28. Homberger, Jorg & Gehring, Hermann, 2005. "A two-phase hybrid metaheuristic for the vehicle routing problem with time windows," European Journal of Operational Research, Elsevier, vol. 162(1), pages 220-238, April.
    29. Lawrence D. Bodin, 1990. "Twenty Years of Routing and Scheduling," Operations Research, INFORMS, vol. 38(4), pages 571-579, August.
    30. M-C Bolduc & J Renaud & F Boctor & G Laporte, 2008. "A perturbation metaheuristic for the vehicle routing problem with private fleet and common carriers," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(6), pages 776-787, June.
    31. Laporte, Gilbert, 1992. "The vehicle routing problem: An overview of exact and approximate algorithms," European Journal of Operational Research, Elsevier, vol. 59(3), pages 345-358, June.
    32. Fleszar, Krzysztof & Osman, Ibrahim H. & Hindi, Khalil S., 2009. "A variable neighbourhood search algorithm for the open vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 195(3), pages 803-809, June.
    33. Vicente Campos & Manuel Laguna & Rafael Martí, 2005. "Context-Independent Scatter and Tabu Search for Permutation Problems," INFORMS Journal on Computing, INFORMS, vol. 17(1), pages 111-122, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Drexl, Michael, 2013. "Applications of the vehicle routing problem with trailers and transshipments," European Journal of Operational Research, Elsevier, vol. 227(2), pages 275-283.
    2. Song, Yujian & Zhang, Jiantong & Liang, Zhe & Ye, Chunming, 2017. "An exact algorithm for the container drayage problem under a separation mode," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 106(C), pages 231-254.
    3. Çetinkaya, Cihan & Karaoglan, Ismail & Gökçen, Hadi, 2013. "Two-stage vehicle routing problem with arc time windows: A mixed integer programming formulation and a heuristic approach," European Journal of Operational Research, Elsevier, vol. 230(3), pages 539-550.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Vidal, Thibaut & Crainic, Teodor Gabriel & Gendreau, Michel & Prins, Christian, 2013. "Heuristics for multi-attribute vehicle routing problems: A survey and synthesis," European Journal of Operational Research, Elsevier, vol. 231(1), pages 1-21.
    2. Lai, David S.W. & Caliskan Demirag, Ozgun & Leung, Janny M.Y., 2016. "A tabu search heuristic for the heterogeneous vehicle routing problem on a multigraph," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 86(C), pages 32-52.
    3. Koç, Çağrı & Bektaş, Tolga & Jabali, Ola & Laporte, Gilbert, 2016. "Thirty years of heterogeneous vehicle routing," European Journal of Operational Research, Elsevier, vol. 249(1), pages 1-21.
    4. Zhenzhen Zhang & Zhixing Luo & Hu Qin & Andrew Lim, 2019. "Exact Algorithms for the Vehicle Routing Problem with Time Windows and Combinatorial Auction," Transportation Science, INFORMS, vol. 53(2), pages 427-441, March.
    5. Gilbert Laporte, 2009. "Fifty Years of Vehicle Routing," Transportation Science, INFORMS, vol. 43(4), pages 408-416, November.
    6. Brandstätter, Christian & Reimann, Marc, 2018. "The Line-haul Feeder Vehicle Routing Problem: Mathematical model formulation and heuristic approaches," European Journal of Operational Research, Elsevier, vol. 270(1), pages 157-170.
    7. Gilbert Laporte, 2007. "What you should know about the vehicle routing problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(8), pages 811-819, December.
    8. Olli Bräysy & Michel Gendreau, 2005. "Vehicle Routing Problem with Time Windows, Part II: Metaheuristics," Transportation Science, INFORMS, vol. 39(1), pages 119-139, February.
    9. Fung, Richard Y.K. & Liu, Ran & Jiang, Zhibin, 2013. "A memetic algorithm for the open capacitated arc routing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 50(C), pages 53-67.
    10. Michael Schneider & Andreas Stenger & Dominik Goeke, 2014. "The Electric Vehicle-Routing Problem with Time Windows and Recharging Stations," Transportation Science, INFORMS, vol. 48(4), pages 500-520, November.
    11. Oscar Dominguez & Angel Juan & Barry Barrios & Javier Faulin & Alba Agustin, 2016. "Using biased randomization for solving the two-dimensional loading vehicle routing problem with heterogeneous fleet," Annals of Operations Research, Springer, vol. 236(2), pages 383-404, January.
    12. 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.
    13. Qiuping Ni & Yuanxiang Tang, 2023. "A Bibliometric Visualized Analysis and Classification of Vehicle Routing Problem Research," Sustainability, MDPI, vol. 15(9), pages 1-37, April.
    14. Aderemi Oluyinka Adewumi & Olawale Joshua Adeleke, 2018. "A survey of recent advances in vehicle routing problems," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 9(1), pages 155-172, February.
    15. Ziebuhr, Mario & Kopfer, Herbert, 2016. "Solving an integrated operational transportation planning problem with forwarding limitations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 87(C), pages 149-166.
    16. Tu, Wei & Fang, Zhixiang & Li, Qingquan & Shaw, Shih-Lung & Chen, BiYu, 2014. "A bi-level Voronoi diagram-based metaheuristic for a large-scale multi-depot vehicle routing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 61(C), pages 84-97.
    17. Schneider, Kellie & Nurre, Sarah G., 2019. "A multi-criteria vehicle routing approach to improve the compliance audit schedule for food banks," Omega, Elsevier, vol. 84(C), pages 127-140.
    18. Nicolas Rincon-Garcia & Ben J. Waterson & Tom J. Cherrett, 2018. "Requirements from vehicle routing software: perspectives from literature, developers and the freight industry," Transport Reviews, Taylor & Francis Journals, vol. 38(1), pages 117-138, January.
    19. Kritikos, Manolis N. & Ioannou, George, 2010. "The balanced cargo vehicle routing problem with time windows," International Journal of Production Economics, Elsevier, vol. 123(1), pages 42-51, January.
    20. Bhusiri, Narath & Qureshi, Ali Gul & Taniguchi, Eiichi, 2014. "The trade-off between fixed vehicle costs and time-dependent arrival penalties in a routing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 62(C), pages 1-22.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:220:y:2012:i:2:p:349-360. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.