IDEAS home Printed from https://ideas.repec.org/a/pal/jorsoc/v58y2007i1d10.1057_palgrave.jors.2602135.html
   My bibliography  Save this article

Guided construction search metaheuristics for the capacitated p-median problem with single source constraint

Author

Listed:
  • I H Osman

    (American University of Beirut)

  • S Ahmadi

    (De Monfort University)

Abstract

In the capacitated p-median problem with single source constraint, also known as the capacitated clustering problem, a given set of n weighted points is to be partitioned into p clusters such that the total weight of the points in each cluster does not exceed a given cluster capacity. The objective is to find a set of p centres that minimizes the total scatter of points allocated to these clusters. In this paper, a (λ, μ)-interchange neighbourhood based on the concept of λ-interchange of points restricted to μ-adjacent clusters is proposed. Structural properties of centres are identified and exploited to derive special data structures for their efficient evaluations. Different search and selection strategies including the variable neighbourhood search descent with respect to μ-nearest points are investigated. The most efficient strategies are then embedded in a guided construction search metaheuristic framework based either on a periodic local search procedure or a greedy random adaptive search procedure to solve the problem. Computational experience is reported on a standard set of benchmarks. The computational experience demonstrates the competitive performance of the proposed algorithms when compared to the best-known procedures in the literature in terms of solution quality and computational requirement.

Suggested Citation

  • I H Osman & S Ahmadi, 2007. "Guided construction search metaheuristics for the capacitated p-median problem with single source constraint," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(1), pages 100-114, January.
    • Handle: RePEc:pal:jorsoc:v:58:y:2007:i:1:d:10.1057_palgrave.jors.2602135
    DOI: 10.1057/palgrave.jors.2602135
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1057/palgrave.jors.2602135
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1057/palgrave.jors.2602135?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. Richard Bellman, 1957. "On a Dynamic Programming Approach to the Caterer Problem--I," Management Science, INFORMS, vol. 3(3), pages 270-278, April.
    2. Michel Gendreau & Alain Hertz & Gilbert Laporte, 1992. "New Insertion and Postoptimization Procedures for the Traveling Salesman Problem," Operations Research, INFORMS, vol. 40(6), pages 1086-1094, December.
    3. Hansen, Pierre & Mladenovic, Nenad, 2001. "Variable neighborhood search: Principles and applications," European Journal of Operational Research, Elsevier, vol. 130(3), pages 449-467, May.
    4. Mulvey, John M. & Beck, Michael P., 1984. "Solving capacitated clustering problems," European Journal of Operational Research, Elsevier, vol. 18(3), pages 339-348, December.
    5. Robert A. Russell, 1995. "Hybrid Heuristics for the Vehicle Routing Problem with Time Windows," Transportation Science, INFORMS, vol. 29(2), pages 156-166, May.
    6. N A Wassan & I H Osman, 2002. "Tabu search variants for the mix fleet vehicle routing problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(7), pages 768-782, July.
    7. Koskosidis, Yiannis A. & Powell, Warren B., 1992. "Clustering algorithms for consolidation of customer orders into vehicle shipments," Transportation Research Part B: Methodological, Elsevier, vol. 26(5), pages 365-379, October.
    8. Hansen, Pierre & de Luna Pedrosa Filho, Eugenio & Carneiro Ribeiro, Celso, 1994. "Modelling location and sizing of offshore platforms," European Journal of Operational Research, Elsevier, vol. 72(3), pages 602-606, February.
    9. Samad Ahmadi & Ibrahim Osman, 2004. "Density Based Problem Space Search for the Capacitated Clustering p-Median Problem," Annals of Operations Research, Springer, vol. 131(1), pages 21-43, October.
    10. Éric Taillard & Philippe Badeau & Michel Gendreau & François Guertin & Jean-Yves Potvin, 1997. "A Tabu Search Heuristic for the Vehicle Routing Problem with Soft Time Windows," Transportation Science, INFORMS, vol. 31(2), pages 170-186, May.
    11. Ahmadi, Samad & Osman, Ibrahim H., 2005. "Greedy random adaptive memory programming search for the capacitated clustering problem," European Journal of Operational Research, Elsevier, vol. 162(1), pages 30-44, April.
    12. Vakharia, Asoo J. & Mahajan, Jayashree, 2000. "Clustering of objects and attributes for manufacturing and marketing applications," European Journal of Operational Research, Elsevier, vol. 123(3), pages 640-651, June.
    13. 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.
    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. Mai, Feng & Fry, Michael J. & Ohlmann, Jeffrey W., 2018. "Model-based capacitated clustering with posterior regularization," European Journal of Operational Research, Elsevier, vol. 271(2), pages 594-605.
    2. Dong-Guen Kim & Yeong-Dae Kim, 2013. "A Lagrangian heuristic algorithm for a public healthcare facility location problem," Annals of Operations Research, Springer, vol. 206(1), pages 221-240, July.
    3. A I Jarrah & J F Bard, 2011. "Pickup and delivery network segmentation using contiguous geographic clustering," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(10), pages 1827-1843, October.
    4. Kim, Dong-Guen & Kim, Yeong-Dae, 2010. "A branch and bound algorithm for determining locations of long-term care facilities," European Journal of Operational Research, Elsevier, vol. 206(1), pages 168-177, October.
    5. Pierre Hansen & Nenad Mladenović & José Moreno Pérez, 2010. "Variable neighbourhood search: methods and applications," Annals of Operations Research, Springer, vol. 175(1), pages 367-407, March.
    6. Bard, Jonathan F. & Jarrah, Ahmad I., 2009. "Large-scale constrained clustering for rationalizing pickup and delivery operations," Transportation Research Part B: Methodological, Elsevier, vol. 43(5), pages 542-561, June.

    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. Ahmadi, Samad & Osman, Ibrahim H., 2005. "Greedy random adaptive memory programming search for the capacitated clustering problem," European Journal of Operational Research, Elsevier, vol. 162(1), pages 30-44, April.
    2. Olli Bräysy & Michel Gendreau, 2005. "Vehicle Routing Problem with Time Windows, Part II: Metaheuristics," Transportation Science, INFORMS, vol. 39(1), pages 119-139, February.
    3. Fleszar, K. & Hindi, K.S., 2008. "An effective VNS for the capacitated p-median problem," European Journal of Operational Research, Elsevier, vol. 191(3), pages 612-622, December.
    4. 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.
    5. 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.
    6. Sumanta Basu & Ghosh, Diptesh, 2008. "A review of the Tabu Search Literature on Traveling Salesman Problems," IIMA Working Papers WP2008-10-01, Indian Institute of Management Ahmedabad, Research and Publication Department.
    7. A I Jarrah & J F Bard, 2011. "Pickup and delivery network segmentation using contiguous geographic clustering," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(10), pages 1827-1843, October.
    8. 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.
    9. 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.
    10. 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.
    11. Armentano, Vinicius Amaral & de Franca Filho, Moacir Felizardo, 2007. "Minimizing total tardiness in parallel machine scheduling with setup times: An adaptive memory-based GRASP approach," European Journal of Operational Research, Elsevier, vol. 183(1), pages 100-114, November.
    12. Lu Han & Dachuan Xu & Donglei Du & Dongmei Zhang, 0. "An approximation algorithm for the uniform capacitated k-means problem," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-12.
    13. 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.
    14. Baals, Julian & Emde, Simon & Turkensteen, Marcel, 2023. "Minimizing earliness-tardiness costs in supplier networks—A just-in-time truck routing problem," European Journal of Operational Research, Elsevier, vol. 306(2), pages 707-741.
    15. Russell Bent & Pascal Van Hentenryck, 2004. "A Two-Stage Hybrid Local Search for the Vehicle Routing Problem with Time Windows," Transportation Science, INFORMS, vol. 38(4), pages 515-530, November.
    16. Manuel Ostermeier & Andreas Holzapfel & Heinrich Kuhn & Daniel Schubert, 2022. "Integrated zone picking and vehicle routing operations with restricted intermediate storage," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(3), pages 795-832, September.
    17. Daniel Schubert & André Scholz & Gerhard Wäscher, 2017. "Integrated Order Picking and Vehicle Routing with Due Dates," FEMM Working Papers 170007, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    18. Ho, Sin C. & Leung, Janny M.Y., 2010. "Solving a manpower scheduling problem for airline catering using metaheuristics," European Journal of Operational Research, Elsevier, vol. 202(3), pages 903-921, May.
    19. Wooseung Jang & Huay H. Lim & Thomas J. Crowe & Gail Raskin & Thomas E. Perkins, 2006. "The Missouri Lottery Optimizes Its Scheduling and Routing to Improve Efficiency and Balance," Interfaces, INFORMS, vol. 36(4), pages 302-313, August.
    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:pal:jorsoc:v:58:y:2007:i:1:d:10.1057_palgrave.jors.2602135. 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.palgrave-journals.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.