IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v224y2013i1p189-208.html
   My bibliography  Save this article

Lower and upper bounds for location-arc routing problems with vehicle capacity constraints

Author

Listed:
  • Hashemi Doulabi, Seyed Hossein
  • Seifi, Abbas

Abstract

This paper addresses multi-depot location arc routing problems with vehicle capacity constraints. Two mixed integer programming models are presented for single and multi-depot problems. Relaxing these formulations leads to other integer programming models whose solutions provide good lower bounds for the total cost. A powerful insertion heuristic has been developed for solving the underlying capacitated arc routing problem. This heuristic is used together with a novel location–allocation heuristic to solve the problem within a simulated annealing framework. Extensive computational results demonstrate that the proposed algorithm can find high quality solutions. We also show that the potential cost saving resulting from adding location decisions to the capacitated arc routing problem is significant.

Suggested Citation

  • Hashemi Doulabi, Seyed Hossein & Seifi, Abbas, 2013. "Lower and upper bounds for location-arc routing problems with vehicle capacity constraints," European Journal of Operational Research, Elsevier, vol. 224(1), pages 189-208.
    • Handle: RePEc:eee:ejores:v:224:y:2013:i:1:p:189-208
    DOI: 10.1016/j.ejor.2012.06.015
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221712004705
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2012.06.015?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. Nagy, Gabor & Salhi, Said, 2007. "Location-routing: Issues, models and methods," European Journal of Operational Research, Elsevier, vol. 177(2), pages 649-672, March.
    2. Christian Prins & Caroline Prodhon & Angel Ruiz & Patrick Soriano & Roberto Wolfler Calvo, 2007. "Solving the Capacitated Location-Routing Problem by a Cooperative Lagrangean Relaxation-Granular Tabu Search Heuristic," Transportation Science, INFORMS, vol. 41(4), pages 470-483, November.
    3. Aksen, Deniz & Altinkemer, Kemal, 2008. "A location-routing problem for the conversion to the "click-and-mortar" retailing: The static case," European Journal of Operational Research, Elsevier, vol. 186(2), pages 554-575, April.
    4. Barreto, Sergio & Ferreira, Carlos & Paixao, Jose & Santos, Beatriz Sousa, 2007. "Using clustering analysis in a capacitated location-routing problem," European Journal of Operational Research, Elsevier, vol. 179(3), pages 968-977, June.
    5. Beullens, Patrick & Muyldermans, Luc & Cattrysse, Dirk & Van Oudheusden, Dirk, 2003. "A guided local search heuristic for the capacitated arc routing problem," European Journal of Operational Research, Elsevier, vol. 147(3), pages 629-643, June.
    6. Albareda-Sambola, Maria & Fernandez, Elena & Laporte, Gilbert, 2007. "Heuristic and lower bound for a stochastic location-routing problem," European Journal of Operational Research, Elsevier, vol. 179(3), pages 940-955, June.
    7. Ulusoy, Gunduz, 1985. "The fleet size and mix problem for capacitated arc routing," European Journal of Operational Research, Elsevier, vol. 22(3), pages 329-337, December.
    8. Mourao, M. Candida & Almeida, M. Teresa, 2000. "Lower-bounding and heuristic methods for a refuse collection vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 121(2), pages 420-434, March.
    9. Prodhon, Caroline, 2011. "A hybrid evolutionary algorithm for the periodic location-routing problem," European Journal of Operational Research, Elsevier, vol. 210(2), pages 204-212, April.
    10. Dominique Feillet & Pierre Dejax & Michel Gendreau, 2005. "The Profitable Arc Tour Problem: Solution with a Branch-and-Price Algorithm," Transportation Science, INFORMS, vol. 39(4), pages 539-552, November.
    11. José-Manuel Belenguer & Enrique Benavent & Nacima Labadi & Christian Prins & Mohamed Reghioui, 2010. "Split-Delivery Capacitated Arc-Routing Problem: Lower Bound and Metaheuristic," Transportation Science, INFORMS, vol. 44(2), pages 206-220, May.
    12. Barbara De Rosa & Gennaro Improta & Gianpaolo Ghiani & Roberto Musmanno, 2002. "The Arc Routing and Scheduling Problem with Transshipment," Transportation Science, INFORMS, vol. 36(3), pages 301-313, August.
    13. Haastrup, P. & Maniezzo, V. & Mattarelli, M. & Mazzeo Rinaldi, F. & Mendes, I. & Paruccini, M., 1998. "A decision support system for urban waste management," European Journal of Operational Research, Elsevier, vol. 109(2), pages 330-341, September.
    14. Gilbert Laporte & Roberto Musmanno & Francesca Vocaturo, 2010. "An Adaptive Large Neighbourhood Search Heuristic for the Capacitated Arc-Routing Problem with Stochastic Demands," Transportation Science, INFORMS, vol. 44(1), pages 125-135, February.
    15. Mourao, Maria Candida & Amado, Ligia, 2005. "Heuristic method for a mixed capacitated arc routing problem: A refuse collection application," European Journal of Operational Research, Elsevier, vol. 160(1), pages 139-153, January.
    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. Lu Chen & Boxiao Chen & Quoc Trung Bui & Minh Hoàng Hà, 2017. "Designing service sectors for daily maintenance operations in a road network," International Journal of Production Research, Taylor & Francis Journals, vol. 55(8), pages 2251-2265, April.
    2. Gerald Senarclens de Grancy & Marc Reimann, 2015. "Evaluating two new heuristics for constructing customer clusters in a VRPTW with multiple service workers," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(2), pages 479-500, June.
    3. Li, Hongqi & Chang, Xinyu & Zhao, Wencong & Lu, Yingrong, 2017. "The vehicle flow formulation and savings-based algorithm for the rollon-rolloff vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 257(3), pages 859-869.
    4. Drexl, Michael & Schneider, Michael, 2015. "A survey of variants and extensions of the location-routing problem," European Journal of Operational Research, Elsevier, vol. 241(2), pages 283-308.
    5. Li, Hongqi & Wang, Haotian & Chen, Jun & Bai, Ming, 2021. "Two-echelon vehicle routing problem with satellite bi-synchronization," European Journal of Operational Research, Elsevier, vol. 288(3), pages 775-793.
    6. Elena Fernández & Gilbert Laporte & Jessica Rodríguez-Pereira, 2019. "Exact Solution of Several Families of Location-Arc Routing Problems," Transportation Science, INFORMS, vol. 53(5), pages 1313-1333, September.
    7. Li, Lei & Al Chami, Zaher & Manier, Hervé & Manier, Marie-Ange & Xue, Jian, 2021. "Incorporating fuel delivery in network design for hydrogen fueling stations: Formulation and two metaheuristic approaches," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    8. Zare Mehrjerdi, Yahia & Nadizadeh, Ali, 2013. "Using greedy clustering method to solve capacitated location-routing problem with fuzzy demands," European Journal of Operational Research, Elsevier, vol. 229(1), pages 75-84.
    9. Prodhon, Caroline & Prins, Christian, 2014. "A survey of recent research on location-routing problems," European Journal of Operational Research, Elsevier, vol. 238(1), pages 1-17.
    10. Nadizadeh, Ali & Hosseini Nasab, Hasan, 2014. "Solving the dynamic capacitated location-routing problem with fuzzy demands by hybrid heuristic algorithm," European Journal of Operational Research, Elsevier, vol. 238(2), pages 458-470.
    11. Tricoire, Fabien & Parragh, Sophie N., 2017. "Investing in logistics facilities today to reduce routing emissions tomorrow," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 56-67.

    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. Drexl, Michael & Schneider, Michael, 2015. "A survey of variants and extensions of the location-routing problem," European Journal of Operational Research, Elsevier, vol. 241(2), pages 283-308.
    2. Prodhon, Caroline & Prins, Christian, 2014. "A survey of recent research on location-routing problems," European Journal of Operational Research, Elsevier, vol. 238(1), pages 1-17.
    3. Nasrin Asgari & Mohsen Rajabi & Masoumeh Jamshidi & Maryam Khatami & Reza Zanjirani Farahani, 2017. "A memetic algorithm for a multi-objective obnoxious waste location-routing problem: a case study," Annals of Operations Research, Springer, vol. 250(2), pages 279-308, March.
    4. Sahar Validi & Arijit Bhattacharya & P. J. Byrne, 2020. "Sustainable distribution system design: a two-phase DoE-guided meta-heuristic solution approach for a three-echelon bi-objective AHP-integrated location-routing model," Annals of Operations Research, Springer, vol. 290(1), pages 191-222, July.
    5. Zhang, Ying & Qi, Mingyao & Lin, Wei-Hua & Miao, Lixin, 2015. "A metaheuristic approach to the reliable location routing problem under disruptions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 83(C), pages 90-110.
    6. Walid Klibi & Francis Lasalle & Alain Martel & Soumia Ichoua, 2010. "The Stochastic Multiperiod Location Transportation Problem," Transportation Science, INFORMS, vol. 44(2), pages 221-237, May.
    7. Paolo Gianessi & Laurent Alfandari & Lucas Létocart & Roberto Wolfler Calvo, 2016. "The Multicommodity-Ring Location Routing Problem," Transportation Science, INFORMS, vol. 50(2), pages 541-558, May.
    8. Rieck, Julia & Ehrenberg, Carsten & Zimmermann, Jürgen, 2014. "Many-to-many location-routing with inter-hub transport and multi-commodity pickup-and-delivery," European Journal of Operational Research, Elsevier, vol. 236(3), pages 863-878.
    9. Weijun Xie & Yanfeng Ouyang & Sze Chun Wong, 2016. "Reliable Location-Routing Design Under Probabilistic Facility Disruptions," Transportation Science, INFORMS, vol. 50(3), pages 1128-1138, August.
    10. Alvarez, Jose A. Lopez & Buijs, Paul & Deluster, Rogier & Coelho, Leandro C. & Ursavas, Evrim, 2020. "Strategic and operational decision-making in expanding supply chains for LNG as a fuel," Omega, Elsevier, vol. 97(C).
    11. Daniel Negrotto & Irene Loiseau, 2021. "A Branch & Cut algorithm for the prize-collecting capacitated location routing problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(1), pages 34-57, April.
    12. Stenger, Andreas & Schneider, Michael & Schwind, Michael & Vigo, Daniele, 2012. "Location routing for small package shippers with subcontracting options," International Journal of Production Economics, Elsevier, vol. 140(2), pages 702-712.
    13. Tobias Harks & Felix G König & Jannik Matuschke, 2013. "Approximation Algorithms for Capacitated Location Routing," Transportation Science, INFORMS, vol. 47(1), pages 3-22, February.
    14. Amin Aghalari & Darweesh Ehssan Salamah & Carlos Marino & Mohammad Marufuzzaman, 2023. "Electric vehicles fast charger location-routing problem under ambient temperature," Annals of Operations Research, Springer, vol. 324(1), pages 721-759, May.
    15. Nadizadeh, Ali & Hosseini Nasab, Hasan, 2014. "Solving the dynamic capacitated location-routing problem with fuzzy demands by hybrid heuristic algorithm," European Journal of Operational Research, Elsevier, vol. 238(2), pages 458-470.
    16. Bogh, Morten Bie & Mikkelsen, Hardy & Wøhlk, Sanne, 2014. "Collection of recyclables from cubes – A case study," Socio-Economic Planning Sciences, Elsevier, vol. 48(2), pages 127-134.
    17. Hunkar Toyoglu & Oya Karasan & Bahar Kara, 2012. "A New Formulation Approach for Location-Routing Problems," Networks and Spatial Economics, Springer, vol. 12(4), pages 635-659, December.
    18. Roberto Baldacci & Aristide Mingozzi & Roberto Wolfler Calvo, 2011. "An Exact Method for the Capacitated Location-Routing Problem," Operations Research, INFORMS, vol. 59(5), pages 1284-1296, October.
    19. Hunkar Toyoglu & Oya Ekin Karasan & Bahar Yetis Kara, 2011. "Distribution network design on the battlefield," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(3), pages 188-209, April.
    20. Maximilian Schiffer & Michael Schneider & Grit Walther & Gilbert Laporte, 2019. "Vehicle Routing and Location Routing with Intermediate Stops: A Review," Transportation Science, INFORMS, vol. 53(2), pages 319-343, 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:eee:ejores:v:224:y:2013:i:1:p:189-208. 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.