IDEAS home Printed from https://ideas.repec.org/a/spr/joheur/v22y2016i4d10.1007_s10732-014-9277-7.html
   My bibliography  Save this article

Hybrid meta-heuristics with VNS and exact methods: application to large unconditional and conditional vertex $$p$$ p -centre problems

Author

Listed:
  • Chandra Ade Irawan

    (University of Portsmouth
    Institut Teknologi Nasional)

  • Said Salhi

    (Kent Business School, University of Kent)

  • Zvi Drezner

    (California State University-Fullerton)

Abstract

Large-scale unconditional and conditional vertex $$p$$ p -centre problems are solved using two meta-heuristics. One is based on a three-stage approach whereas the other relies on a guided multi-start principle. Both methods incorporate Variable Neighbourhood Search, exact method, and aggregation techniques. The methods are assessed on the TSP dataset which consist of up to 71,009 demand points with $$p$$ p varying from 5 to 100. To the best of our knowledge, these are the largest instances solved for unconditional and conditional vertex $$p$$ p -centre problems. The two proposed meta-heuristics yield competitive results for both classes of problems.

Suggested Citation

  • Chandra Ade Irawan & Said Salhi & Zvi Drezner, 2016. "Hybrid meta-heuristics with VNS and exact methods: application to large unconditional and conditional vertex $$p$$ p -centre problems," Journal of Heuristics, Springer, vol. 22(4), pages 507-537, August.
    • Handle: RePEc:spr:joheur:v:22:y:2016:i:4:d:10.1007_s10732-014-9277-7
    DOI: 10.1007/s10732-014-9277-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10732-014-9277-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10732-014-9277-7?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. Irawan, Chandra Ade & Salhi, Said & Scaparra, Maria Paola, 2014. "An adaptive multiphase approach for large unconditional and conditional p-median problems," European Journal of Operational Research, Elsevier, vol. 237(2), pages 590-605.
    2. 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.
    3. M D H Gamal & S Salhi, 2001. "Constructive heuristics for the uncapacitated continuous location-allocation problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(7), pages 821-829, July.
    4. R. Francis & T. Lowe & M. Rayco & A. Tamir, 2009. "Aggregation error for location models: survey and analysis," Annals of Operations Research, Springer, vol. 167(1), pages 171-208, March.
    5. 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.
    6. S Salhi & A Al-Khedhairi, 2010. "Integrating heuristic information into exact methods: The case of the vertex p-centre problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(11), pages 1619-1631, November.
    7. D.X. Shaw, 1999. "A unified limited column generation approach for facility location problems ontrees," Annals of Operations Research, Springer, vol. 87(0), pages 363-382, April.
    8. Lu, Chung-Cheng, 2013. "Robust weighted vertex p-center model considering uncertain data: An application to emergency management," European Journal of Operational Research, Elsevier, vol. 230(1), pages 113-121.
    9. B. C. Tansel & R. L. Francis & T. J. Lowe & M. L. Chen, 1982. "Duality and Distance Constraints for the Nonlinear p -Center Problem and Covering Problem on a Tree Network," Operations Research, INFORMS, vol. 30(4), pages 725-744, August.
    10. Zvi Drezner, 1989. "Conditional p -Center Problems," Transportation Science, INFORMS, vol. 23(1), pages 51-53, February.
    11. S. L. Hakimi, 1964. "Optimum Locations of Switching Centers and the Absolute Centers and Medians of a Graph," Operations Research, INFORMS, vol. 12(3), pages 450-459, June.
    12. Sourour Elloumi & Martine Labbé & Yves Pochet, 2004. "A New Formulation and Resolution Method for the p-Center Problem," INFORMS Journal on Computing, INFORMS, vol. 16(1), pages 84-94, February.
    13. Oded Berman & David Simchi-Levi, 1990. "Technical Note—Conditional Location Problems on Networks," Transportation Science, INFORMS, vol. 24(1), pages 77-78, February.
    14. Caruso, C. & Colorni, A. & Aloi, L., 2003. "Dominant, an algorithm for the p-center problem," European Journal of Operational Research, Elsevier, vol. 149(1), pages 53-64, August.
    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. Chandra Ade Irawan & Dylan Jones, 2019. "Formulation and solution of a two-stage capacitated facility location problem with multilevel capacities," Annals of Operations Research, Springer, vol. 272(1), pages 41-67, January.
    2. Chandra Ade Irawan & Said Salhi & Kusmaningrum Soemadi, 2020. "The continuous single-source capacitated multi-facility Weber problem with setup costs: formulation and solution methods," Journal of Global Optimization, Springer, vol. 78(2), pages 271-294, October.
    3. Cihan Çetinkaya & Samer Haffar, 2018. "A Risk-Based Location-Allocation Approach for Weapon Logistics," Logistics, MDPI, vol. 2(2), pages 1-15, May.

    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. Richard Francis & Timothy Lowe, 2014. "Comparative error bound theory for three location models: continuous demand versus discrete demand," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(1), pages 144-169, April.
    2. Callaghan, Becky & Salhi, Said & Nagy, Gábor, 2017. "Speeding up the optimal method of Drezner for the p-centre problem in the plane," European Journal of Operational Research, Elsevier, vol. 257(3), pages 722-734.
    3. Elshaikh, Abdalla & Salhi, Said & Nagy, Gábor, 2015. "The continuous p-centre problem: An investigation into variable neighbourhood search with memory," European Journal of Operational Research, Elsevier, vol. 241(3), pages 606-621.
    4. Marilène Cherkesly & Claudio Contardo, 2021. "The conditional p-dispersion problem," Journal of Global Optimization, Springer, vol. 81(1), pages 23-83, September.
    5. Chandra Ade Irawan & Dylan Jones, 2019. "Formulation and solution of a two-stage capacitated facility location problem with multilevel capacities," Annals of Operations Research, Springer, vol. 272(1), pages 41-67, January.
    6. S Salhi & A Al-Khedhairi, 2010. "Integrating heuristic information into exact methods: The case of the vertex p-centre problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(11), pages 1619-1631, November.
    7. Zhizhu Lai & Qun Yue & Zheng Wang & Dongmei Ge & Yulong Chen & Zhihong Zhou, 2022. "The min-p robust optimization approach for facility location problem under uncertainty," Journal of Combinatorial Optimization, Springer, vol. 44(2), pages 1134-1160, September.
    8. Ade Irawan, Chandra & Starita, Stefano & Chan, Hing Kai & Eskandarpour, Majid & Reihaneh, Mohammad, 2023. "Routing in offshore wind farms: A multi-period location and maintenance problem with joint use of a service operation vessel and a safe transfer boat," European Journal of Operational Research, Elsevier, vol. 307(1), pages 328-350.
    9. Jing Yao & Alan T. Murray, 2014. "Serving regional demand in facility location," Papers in Regional Science, Wiley Blackwell, vol. 93(3), pages 643-662, August.
    10. Xinxin Yan & Hanping Hou & Jianliang Yang & Jiaqi Fang, 2021. "Site Selection and Layout of Material Reserve Based on Emergency Demand Graduation under Large-Scale Earthquake," Sustainability, MDPI, vol. 13(3), pages 1-15, January.
    11. Benati, Stefano & García, Sergio, 2012. "A p-median problem with distance selection," DES - Working Papers. Statistics and Econometrics. WS ws121913, Universidad Carlos III de Madrid. Departamento de Estadística.
    12. Chandra Ade Irawan & Said Salhi & Kusmaningrum Soemadi, 2020. "The continuous single-source capacitated multi-facility Weber problem with setup costs: formulation and solution methods," Journal of Global Optimization, Springer, vol. 78(2), pages 271-294, October.
    13. Brimberg, Jack & Drezner, Zvi & Mladenović, Nenad & Salhi, Said, 2014. "A new local search for continuous location problems," European Journal of Operational Research, Elsevier, vol. 232(2), pages 256-265.
    14. Irawan, Chandra Ade & Salhi, Said & Scaparra, Maria Paola, 2014. "An adaptive multiphase approach for large unconditional and conditional p-median problems," European Journal of Operational Research, Elsevier, vol. 237(2), pages 590-605.
    15. Enrique Domínguez & Alfredo Marín, 2020. "Discrete ordered median problem with induced order," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(3), pages 793-813, October.
    16. Duran-Mateluna, Cristian & Ales, Zacharie & Elloumi, Sourour, 2023. "An efficient benders decomposition for the p-median problem," European Journal of Operational Research, Elsevier, vol. 308(1), pages 84-96.
    17. Ramirez-Marquez, José Emmanuel & Li, Qing, 2018. "Locating and protecting facilities from intentional attacks using secrecyAuthor-Name: Zhang, Chi," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 51-62.
    18. Houda Derbel & Bassem Jarboui & Rim Bhiri, 2019. "A skewed general variable neighborhood search algorithm with fixed threshold for the heterogeneous fleet vehicle routing problem," Annals of Operations Research, Springer, vol. 272(1), pages 243-272, January.
    19. Kenneth Carling & Mengjie Han & Johan Håkansson, 2012. "Does Euclidean distance work well when the p-median model is applied in rural areas?," Annals of Operations Research, Springer, vol. 201(1), pages 83-97, December.
    20. Jesus Garcia-Diaz & Jairo Sanchez-Hernandez & Ricardo Menchaca-Mendez & Rolando Menchaca-Mendez, 2017. "When a worse approximation factor gives better performance: a 3-approximation algorithm for the vertex k-center problem," Journal of Heuristics, Springer, vol. 23(5), pages 349-366, October.

    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:joheur:v:22:y:2016:i:4:d:10.1007_s10732-014-9277-7. 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.