IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v318y2024i2p442-456.html
   My bibliography  Save this article

A congested facility location problem with strategic customers

Author

Listed:
  • Jalili Marand, Ata
  • Hoseinpour, Pooya

Abstract

This study addresses a user-equilibrium congested facility location problem with delay-, accessibility-, and price-sensitive customers. A profit-maximizing service provider first makes location, service rate, and pricing decisions, and then strategic customers decide which facilities to patronize (if any). By incorporating the customers’ choice behavior as a set of equilibrium constraints into the service provider’s decision problem, the problem is modeled as a mixed integer non-linear program which is then reformulated as a mixed integer second-order cone program. The proposed model, tested on several standard instances, is shown to be efficiently solvable using commercial software packages.

Suggested Citation

  • Jalili Marand, Ata & Hoseinpour, Pooya, 2024. "A congested facility location problem with strategic customers," European Journal of Operational Research, Elsevier, vol. 318(2), pages 442-456.
  • Handle: RePEc:eee:ejores:v:318:y:2024:i:2:p:442-456
    DOI: 10.1016/j.ejor.2024.05.026
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221724003825
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2024.05.026?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. Hoseinpour, Pooya & Jalili Marand, Ata, 2022. "Designing a service system with price- and distance-sensitive demand: A case study in mining industry," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1355-1371.
    2. Holmberg, Kaj & Ronnqvist, Mikael & Yuan, Di, 1999. "An exact algorithm for the capacitated facility location problems with single sourcing," European Journal of Operational Research, Elsevier, vol. 113(3), pages 544-559, March.
    3. Hyunjoon Kim & Byung-In Kim & Daniel Thiel, 2021. "Exact algorithms for incremental deployment of hydrogen refuelling stations," Post-Print hal-03284509, HAL.
    4. Naor, P, 1969. "The Regulation of Queue Size by Levying Tolls," Econometrica, Econometric Society, vol. 37(1), pages 15-24, January.
    5. Teodora Dan & Andrea Lodi & Patrice Marcotte, 2020. "Joint location and pricing within a user-optimized environment," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 8(1), pages 61-84, March.
    6. Kut C. So, 2000. "Price and Time Competition for Service Delivery," Manufacturing & Service Operations Management, INFORMS, vol. 2(4), pages 392-409, April.
    7. Roei Engel & Refael Hassin, 2017. "Customer equilibrium in a single-server system with virtual and system queues," Queueing Systems: Theory and Applications, Springer, vol. 87(1), pages 161-180, October.
    8. Rainer E. Burkard & Horst W. Hamacher & Günter Rote, 1991. "Sandwich approximation of univariate convex functions with an application to separable convex programming," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(6), pages 911-924, December.
    9. Yue Zhang & Oded Berman & Patrice Marcotte & Vedat Verter, 2010. "A bilevel model for preventive healthcare facility network design with congestion," IISE Transactions, Taylor & Francis Journals, vol. 42(12), pages 865-880.
    10. Sneha Dhyani Bhatt & Sachin Jayaswal & Ankur Sinha & Navneet Vidyarthi, 2021. "Alternate second order conic program reformulations for hub location under stochastic demand and congestion," Annals of Operations Research, Springer, vol. 304(1), pages 481-527, September.
    11. Teodora Dan & Patrice Marcotte, 2019. "Competitive Facility Location with Selfish Users and Queues," Operations Research, INFORMS, vol. 67(2), pages 479-497, March.
    12. Margaret L. Brandeau & Samuel S. Chiu, 1994. "Location of Competing Facilities in a User-Optimizing Environment with Market Externalities," Transportation Science, INFORMS, vol. 28(2), pages 125-140, May.
    13. Zhang, Yue & Berman, Oded & Verter, Vedat, 2009. "Incorporating congestion in preventive healthcare facility network design," European Journal of Operational Research, Elsevier, vol. 198(3), pages 922-935, November.
    14. Grossman, Thomas A. & Brandeau, Margaret L., 2002. "Optimal pricing for service facilities with self-optimizing customers," European Journal of Operational Research, Elsevier, vol. 141(1), pages 39-57, August.
    15. Robert Aboolian & Oded Berman & Vedat Verter, 2016. "Maximal Accessibility Network Design in the Public Sector," Transportation Science, INFORMS, vol. 50(1), pages 336-347, February.
    16. Aboolian, Robert & Berman, Oded & Krass, Dmitry, 2007. "Competitive facility location model with concave demand," European Journal of Operational Research, Elsevier, vol. 181(2), pages 598-619, September.
    17. Lina Pilelienė & Arvydas Petras Bakanauskas, 2016. "Determination of Factors Affecting Petrol Station Brand Choice in Lithuania," Eurasian Studies in Business and Economics, in: Mehmet Huseyin Bilgin & Hakan Danis (ed.), Entrepreneurship, Business and Economics - Vol. 1, edition 1, pages 535-543, Springer.
    18. Marianov, Vladimir & Rí­os, Miguel & Icaza, Manuel José, 2008. "Facility location for market capture when users rank facilities by shorter travel and waiting times," European Journal of Operational Research, Elsevier, vol. 191(1), pages 32-44, November.
    19. Robert Aboolian & Oded Berman & Dmitry Krass, 2012. "Profit Maximizing Distributed Service System Design with Congestion and Elastic Demand," Transportation Science, INFORMS, vol. 46(2), pages 247-261, May.
    20. Oded Berman & Dmitry Krass, 2015. "Stochastic Location Models with Congestion," Springer Books, in: Gilbert Laporte & Stefan Nickel & Francisco Saldanha da Gama (ed.), Location Science, edition 127, chapter 0, pages 443-486, Springer.
    21. Amir Ahmadi-Javid & Pooya Hoseinpour, 2022. "Convexification of Queueing Formulas by Mixed-Integer Second-Order Cone Programming: An Application to a Discrete Location Problem with Congestion," INFORMS Journal on Computing, INFORMS, vol. 34(5), pages 2621-2633, September.
    22. Samir Elhedhli, 2006. "Service System Design with Immobile Servers, Stochastic Demand, and Congestion," Manufacturing & Service Operations Management, INFORMS, vol. 8(1), pages 92-97, December.
    23. Hau Leung Lee & Morris A. Cohen, 1985. "Equilibrium Analysis of Disaggregate Facility Choice Systems Subject to Congestion-Elastic Demand," Operations Research, INFORMS, vol. 33(2), pages 293-311, April.
    Full references (including those not matched with items on IDEAS)

    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. Hoseinpour, Pooya & Jalili Marand, Ata, 2022. "Designing a service system with price- and distance-sensitive demand: A case study in mining industry," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1355-1371.
    2. Yong Liang & Mengshi Lu & Zuo‐Jun Max Shen & Runyu Tang, 2021. "Data Center Network Design for Internet‐Related Services and Cloud Computing," Production and Operations Management, Production and Operations Management Society, vol. 30(7), pages 2077-2101, July.
    3. Cornelia Schön & Pratibha Saini, 2018. "Market-Oriented Service Network Design When Demand is Sensitive to Congestion," Transportation Science, INFORMS, vol. 52(5), pages 1253-1275, October.
    4. Hoseinpour, Pooya & Ahmadi-Javid, Amir, 2016. "A profit-maximization location-capacity model for designing a service system with risk of service interruptions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 96(C), pages 113-134.
    5. Teodora Dan & Andrea Lodi & Patrice Marcotte, 2020. "Joint location and pricing within a user-optimized environment," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 8(1), pages 61-84, March.
    6. Ralf Krohn & Sven Müller & Knut Haase, 2021. "Preventive healthcare facility location planning with quality-conscious clients," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(1), pages 59-87, March.
    7. Ouyang, Yanfeng & Wang, Zhaodong & Yang, Hai, 2015. "Facility location design under continuous traffic equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 18-33.
    8. An, Shi & Cui, Na & Bai, Yun & Xie, Weijun & Chen, Mingliu & Ouyang, Yanfeng, 2015. "Reliable emergency service facility location under facility disruption, en-route congestion and in-facility queuing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 82(C), pages 199-216.
    9. Kerim Dogan & Mumtaz Karatas & Ertan Yakici, 2020. "A model for locating preventive health care facilities," 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. 28(3), pages 1091-1121, September.
    10. Ahmadi-Javid, Amir & Hoseinpour, Pooya, 2019. "Service system design for managing interruption risks: A backup-service risk-mitigation strategy," European Journal of Operational Research, Elsevier, vol. 274(2), pages 417-431.
    11. Zhang, Wenwei & Xu, Min & Wang, Shuaian, 2023. "Joint location and pricing optimization of self-service in urban logistics considering customers’ choice behavior," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 174(C).
    12. Robert Aboolian & Oded Berman & Vedat Verter, 2016. "Maximal Accessibility Network Design in the Public Sector," Transportation Science, INFORMS, vol. 50(1), pages 336-347, February.
    13. Vidyarthi, Navneet & Jayaswal, Sachin, 2013. "Efficient Solution of a Class of Location-Allocation Problems with Stochastic Demand and Congestion," IIMA Working Papers WP2013-11-03, Indian Institute of Management Ahmedabad, Research and Publication Department.
    14. Zetina, Carlos Armando & Contreras, Ivan & Cordeau, Jean-François, 2019. "Profit-oriented fixed-charge network design with elastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 127(C), pages 1-19.
    15. Esma Akgun & Sibel A. Alumur & F. Safa Erenay, 2023. "Determining optimal COVID-19 testing center locations and capacities," Health Care Management Science, Springer, vol. 26(4), pages 748-769, December.
    16. Jalili Marand, Ata & Tang, Ou & Li, Hongyan, 2019. "Quandary of service logistics: Fast or reliable?," European Journal of Operational Research, Elsevier, vol. 275(3), pages 983-996.
    17. Bhatt, Sneha Dhyani & Sinha, Ankur & Jayaswal, Sachin, 2024. "The capacitated r-hub interdiction problem with congestion: Models and solution approaches," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 185(C).
    18. Sachin Jayaswal & Navneet Vidyarthi, 2017. "Facility location under service level constraints for heterogeneous customers," Annals of Operations Research, Springer, vol. 253(1), pages 275-305, June.
    19. Maryam Radman & Kourosh Eshghi, 2018. "Designing a multi-service healthcare network based on the impact of patients’ flow among medical services," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 40(3), pages 637-678, July.
    20. Teodora Dan & Patrice Marcotte, 2019. "Competitive Facility Location with Selfish Users and Queues," Operations Research, INFORMS, vol. 67(2), pages 479-497, 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:318:y:2024:i:2:p:442-456. 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.