IDEAS home Printed from https://ideas.repec.org/a/spr/jcomop/v7y2003i2d10.1023_a1024427114516.html
   My bibliography  Save this article

GRASP with a New Local Search Scheme for Vehicle Routing Problems with Time Windows

Author

Listed:
  • Wanpracha Chaovalitwongse

    (University of Florida)

  • Dukwon Kim

    (University of Tennessee)

  • Panos M. Pardalos

    (University of Florida)

Abstract

The NP-Hard Vehicle Routing Problem with Time Windows (VRPTW) is one of the major transportation problems. In this paper, a Greedy Randomized Adaptive Search Procedure (GRASP) for VRPTW is discussed for minimizing the fleet size and the travel distance. There are two phases within each GRASP iteration: construction phase and local search phase. In the construction phase, the initial solution is computed by applying an adaptive randomized greedy function. In the local search phase, the search procedure is applied to the constructed initial solution obtained by the construction phase for an improvement. In this paper, we propose an improved solution technique by using new local search ideas and new lower bounding procedures. In addition, we report computational results and address some practical issues in this area.

Suggested Citation

  • Wanpracha Chaovalitwongse & Dukwon Kim & Panos M. Pardalos, 2003. "GRASP with a New Local Search Scheme for Vehicle Routing Problems with Time Windows," Journal of Combinatorial Optimization, Springer, vol. 7(2), pages 179-207, June.
    • Handle: RePEc:spr:jcomop:v:7:y:2003:i:2:d:10.1023_a:1024427114516
    DOI: 10.1023/A:1024427114516
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1023/A:1024427114516
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1023/A:1024427114516?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. George Kontoravdis & Jonathan F. Bard, 1995. "A GRASP for the Vehicle Routing Problem with Time Windows," INFORMS Journal on Computing, INFORMS, vol. 7(1), pages 10-23, February.
    2. Marshall L. Fisher, 1994. "Optimal Solution of Vehicle Routing Problems Using Minimum K-Trees," Operations Research, INFORMS, vol. 42(4), pages 626-642, August.
    3. Niklas Kohl & Oli B. G. Madsen, 1997. "An Optimization Algorithm for the Vehicle Routing Problem with Time Windows Based on Lagrangian Relaxation," Operations Research, INFORMS, vol. 45(3), pages 395-406, June.
    4. Martin Desrochers & Jacques Desrosiers & Marius Solomon, 1992. "A New Optimization Algorithm for the Vehicle Routing Problem with Time Windows," Operations Research, INFORMS, vol. 40(2), pages 342-354, April.
    5. A. W. J. Kolen & A. H. G. Rinnooy Kan & H. W. J. M. Trienekens, 1987. "Vehicle Routing with Time Windows," Operations Research, INFORMS, vol. 35(2), pages 266-273, April.
    6. Wen-Chyuan Chiang & Robert A. Russell, 1997. "A Reactive Tabu Search Metaheuristic for the Vehicle Routing Problem with Time Windows," INFORMS Journal on Computing, INFORMS, vol. 9(4), pages 417-430, November.
    7. Potvin, Jean-Yves & Rousseau, Jean-Marc, 1993. "A parallel route building algorithm for the vehicle routing and scheduling problem with time windows," European Journal of Operational Research, Elsevier, vol. 66(3), pages 331-340, May.
    8. Marius M. Solomon & Jacques Desrosiers, 1988. "Survey Paper---Time Window Constrained Routing and Scheduling Problems," Transportation Science, INFORMS, vol. 22(1), pages 1-13, February.
    9. Robert A. Russell, 1995. "Hybrid Heuristics for the Vehicle Routing Problem with Time Windows," Transportation Science, INFORMS, vol. 29(2), pages 156-166, May.
    10. Liu, Fuh-Hwa Franklin & Shen, Sheng-Yuan, 1999. "A route-neighborhood-based metaheuristic for vehicle routing problem with time windows," European Journal of Operational Research, Elsevier, vol. 118(3), pages 485-504, November.
    11. Martin W. P. Savelsbergh, 1992. "The Vehicle Routing Problem with Time Windows: Minimizing Route Duration," INFORMS Journal on Computing, INFORMS, vol. 4(2), pages 146-154, May.
    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. Vicky Mak & Andreas Ernst, 2007. "New cutting-planes for the time- and/or precedence-constrained ATSP and directed VRP," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 66(1), pages 69-98, August.
    2. Guiwu Xiong & Yong Wang, 2014. "Best routes selection in multimodal networks using multi-objective genetic algorithm," Journal of Combinatorial Optimization, Springer, vol. 28(3), pages 655-673, October.
    3. Angel Juan & Javier Faulin & Albert Ferrer & Helena Lourenço & Barry Barrios, 2013. "MIRHA: multi-start biased randomization of heuristics with adaptive local search for solving non-smooth routing problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(1), pages 109-132, April.
    4. Tan, K.C. & Chew, Y.H. & Lee, L.H., 2006. "A hybrid multi-objective evolutionary algorithm for solving truck and trailer vehicle routing problems," European Journal of Operational Research, Elsevier, vol. 172(3), pages 855-885, August.
    5. W. Art Chaovalitwongse & Carlos A. S. Oliveira & Bruno Chiarini & Panos M. Pardalos & Mauricio G. C. Resende, 2011. "Revised GRASP with path-relinking for the linear ordering problem," Journal of Combinatorial Optimization, Springer, vol. 22(4), pages 572-593, November.

    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. Olli Bräysy, 2003. "A Reactive Variable Neighborhood Search for the Vehicle-Routing Problem with Time Windows," INFORMS Journal on Computing, INFORMS, vol. 15(4), pages 347-368, November.
    2. Li, Haibing & Lim, Andrew, 2003. "Local search with annealing-like restarts to solve the VRPTW," European Journal of Operational Research, Elsevier, vol. 150(1), pages 115-127, October.
    3. Liu, Fuh-Hwa Franklin & Shen, Sheng-Yuan, 1999. "A route-neighborhood-based metaheuristic for vehicle routing problem with time windows," European Journal of Operational Research, Elsevier, vol. 118(3), pages 485-504, November.
    4. Olli Bräysy & Michel Gendreau, 2005. "Vehicle Routing Problem with Time Windows, Part II: Metaheuristics," Transportation Science, INFORMS, vol. 39(1), pages 119-139, February.
    5. Diana, Marco & Dessouky, Maged M., 2004. "A new regret insertion heuristic for solving large-scale dial-a-ride problems with time windows," Transportation Research Part B: Methodological, Elsevier, vol. 38(6), pages 539-557, July.
    6. Jonathan F. Bard & George Kontoravdis & Gang Yu, 2002. "A Branch-and-Cut Procedure for the Vehicle Routing Problem with Time Windows," Transportation Science, INFORMS, vol. 36(2), pages 250-269, May.
    7. Braysy, Olli & Hasle, Geir & Dullaert, Wout, 2004. "A multi-start local search algorithm for the vehicle routing problem with time windows," European Journal of Operational Research, Elsevier, vol. 159(3), pages 586-605, December.
    8. 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.
    9. Hong, Sung-Chul & Park, Yang-Byung, 1999. "A heuristic for bi-objective vehicle routing with time window constraints," International Journal of Production Economics, Elsevier, vol. 62(3), pages 249-258, September.
    10. Zografos, Konstantinos G. & Androutsopoulos, Konstantinos N., 2004. "A heuristic algorithm for solving hazardous materials distribution problems," European Journal of Operational Research, Elsevier, vol. 152(2), pages 507-519, January.
    11. Andrew Lim & Xingwen Zhang, 2007. "A Two-Stage Heuristic with Ejection Pools and Generalized Ejection Chains for the Vehicle Routing Problem with Time Windows," INFORMS Journal on Computing, INFORMS, vol. 19(3), pages 443-457, August.
    12. Matsatsinis, Nikolaos F., 2004. "Towards a decision support system for the ready concrete distribution system: A case of a Greek company," European Journal of Operational Research, Elsevier, vol. 152(2), pages 487-499, January.
    13. 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.
    14. Calvete, Herminia I. & Gale, Carmen & Oliveros, Maria-Jose & Sanchez-Valverde, Belen, 2007. "A goal programming approach to vehicle routing problems with soft time windows," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1720-1733, March.
    15. Sana Jawarneh & Salwani Abdullah, 2015. "Sequential Insertion Heuristic with Adaptive Bee Colony Optimisation Algorithm for Vehicle Routing Problem with Time Windows," PLOS ONE, Public Library of Science, vol. 10(7), pages 1-23, July.
    16. Müller, Juliane, 2010. "Approximative solutions to the bicriterion Vehicle Routing Problem with Time Windows," European Journal of Operational Research, Elsevier, vol. 202(1), pages 223-231, April.
    17. Vis, Iris F.A., 2006. "Survey of research in the design and control of automated guided vehicle systems," European Journal of Operational Research, Elsevier, vol. 170(3), pages 677-709, May.
    18. Joaquín Pacheco & Rafael Caballero & Manuel Laguna & Julián Molina, 2013. "Bi-Objective Bus Routing: An Application to School Buses in Rural Areas," Transportation Science, INFORMS, vol. 47(3), pages 397-411, August.
    19. 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.
    20. Russell, Robert A. & Chiang, Wen-Chyuan, 2006. "Scatter search for the vehicle routing problem with time windows," European Journal of Operational Research, Elsevier, vol. 169(2), pages 606-622, March.

    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:spr:jcomop:v:7:y:2003:i:2:d:10.1023_a:1024427114516. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.