IDEAS home Printed from https://ideas.repec.org/a/eee/transb/v118y2018icp124-142.html
   My bibliography  Save this article

The p-center flow-refueling facility location problem

Author

Listed:
  • Lin, Cheng-Chang
  • Lin, Chuan-Chih

Abstract

The p-center flow-refueling facility location problem locates p refueling facilities to minimize the maximum percentage deviation of all drivers. It is a social equity resource allocation model as opposed to a social efficiency p-maximum coverage flow-refueling model. We propose a nonlinear integer program based on link formulation and analyze its relationship with p-maximum coverage and set covering location flow-refueling problems. We develop a link-based implicit enumeration algorithm with an embedded vehicle range-constrained shortest path subproblem to optimally solve the problem. The computational results show that multiple optimal solutions may exist but that they are associated with different total trip distances. In addition, the maximum deviation may not decrease as the vehicle range or the number of refueling facilities marginally increases.

Suggested Citation

  • Lin, Cheng-Chang & Lin, Chuan-Chih, 2018. "The p-center flow-refueling facility location problem," Transportation Research Part B: Methodological, Elsevier, vol. 118(C), pages 124-142.
    • Handle: RePEc:eee:transb:v:118:y:2018:i:c:p:124-142
    DOI: 10.1016/j.trb.2018.10.008
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0191261518300559
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.trb.2018.10.008?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. S. A. MirHassani & R. Ebrazi, 2013. "A Flexible Reformulation of the Refueling Station Location Problem," Transportation Science, INFORMS, vol. 47(4), pages 617-628, November.
    2. Zhang, Anpeng & Kang, Jee Eun & Kwon, Changhyun, 2017. "Incorporating demand dynamics in multi-period capacitated fast-charging location planning for electric vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 5-29.
    3. Oded Berman & Dimitris Bertsimas & Richard C. Larson, 1995. "Locating Discretionary Service Facilities, II: Maximizing Market Size, Minimizing Inconvenience," Operations Research, INFORMS, vol. 43(4), pages 623-632, August.
    4. Kelley, Scott & Kuby, Michael, 2013. "On the way or around the corner? Observed refueling choices of alternative-fuel drivers in Southern California," Journal of Transport Geography, Elsevier, vol. 33(C), pages 258-267.
    5. Lim, Seow & Kuby, Michael, 2010. "Heuristic algorithms for siting alternative-fuel stations using the Flow-Refueling Location Model," European Journal of Operational Research, Elsevier, vol. 204(1), pages 51-61, July.
    6. Kuby, Michael & Lim, Seow, 2005. "The flow-refueling location problem for alternative-fuel vehicles," Socio-Economic Planning Sciences, Elsevier, vol. 39(2), pages 125-145, June.
    7. Capar, Ismail & Kuby, Michael & Leon, V. Jorge & Tsai, Yu-Jiun, 2013. "An arc cover–path-cover formulation and strategic analysis of alternative-fuel station locations," European Journal of Operational Research, Elsevier, vol. 227(1), pages 142-151.
    8. Arslan, Okan & Karaşan, Oya Ekin, 2016. "A Benders decomposition approach for the charging station location problem with plug-in hybrid electric vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 670-695.
    9. Jee Eun Kang & Will Recker, 2015. "Strategic Hydrogen Refueling Station Locations with Scheduling and Routing Considerations of Individual Vehicles," Transportation Science, INFORMS, vol. 49(4), pages 767-783, November.
    10. Wang, Ying-Wei & Lin, Chuah-Chih, 2013. "Locating multiple types of recharging stations for battery-powered electric vehicle transport," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 58(C), pages 76-87.
    11. Tran, Trung Hieu & Nagy, Gábor & Nguyen, Thu Ba T. & Wassan, Niaz A., 2018. "An efficient heuristic algorithm for the alternative-fuel station location problem," European Journal of Operational Research, Elsevier, vol. 269(1), pages 159-170.
    12. Ismail Capar & Michael Kuby, 2012. "An efficient formulation of the flow refueling location model for alternative-fuel stations," IISE Transactions, Taylor & Francis Journals, vol. 44(8), pages 622-636.
    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. Yıldız, Barış & Olcaytu, Evren & Şen, Ahmet, 2019. "The urban recharging infrastructure design problem with stochastic demands and capacitated charging stations," Transportation Research Part B: Methodological, Elsevier, vol. 119(C), pages 22-44.
    2. Park, Junseok & Moon, Ilkyeong, 2023. "A facility location problem in a mixed duopoly on networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 175(C).
    3. Pichamon Keawthong & Veera Muangsin & Chupun Gowanit, 2022. "Location Selection of Charging Stations for Electric Taxis: A Bangkok Case," Sustainability, MDPI, vol. 14(17), pages 1-23, September.
    4. Kınay, Ömer Burak & Gzara, Fatma & Alumur, Sibel A., 2021. "Full cover charging station location problem with routing," Transportation Research Part B: Methodological, Elsevier, vol. 144(C), pages 1-22.

    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. Mahmutoğulları, Özlem & Yaman, Hande, 2023. "Robust alternative fuel refueling station location problem with routing under decision-dependent flow uncertainty," European Journal of Operational Research, Elsevier, vol. 306(1), pages 173-188.
    2. Joonho Ko & Tae-Hyoung Tommy Gim & Randall Guensler, 2017. "Locating refuelling stations for alternative fuel vehicles: a review on models and applications," Transport Reviews, Taylor & Francis Journals, vol. 37(5), pages 551-570, September.
    3. Tran, Trung Hieu & Nagy, Gábor & Nguyen, Thu Ba T. & Wassan, Niaz A., 2018. "An efficient heuristic algorithm for the alternative-fuel station location problem," European Journal of Operational Research, Elsevier, vol. 269(1), pages 159-170.
    4. Kınay, Ömer Burak & Gzara, Fatma & Alumur, Sibel A., 2021. "Full cover charging station location problem with routing," Transportation Research Part B: Methodological, Elsevier, vol. 144(C), pages 1-22.
    5. Erdoğan, Sevgi & Çapar, İsmail & Çapar, İbrahim & Nejad, Mohammad Motalleb, 2022. "Establishing a statewide electric vehicle charging station network in Maryland: A corridor-based station location problem," Socio-Economic Planning Sciences, Elsevier, vol. 79(C).
    6. Göpfert, Paul & Bock, Stefan, 2019. "A Branch&Cut approach to recharging and refueling infrastructure planning," European Journal of Operational Research, Elsevier, vol. 279(3), pages 808-823.
    7. Van Can Nguyen & Chi-Tai Wang & Ying-Jiun Hsieh, 2021. "Electrification of Highway Transportation with Solar and Wind Energy," Sustainability, MDPI, vol. 13(10), pages 1-28, May.
    8. Anjos, Miguel F. & Gendron, Bernard & Joyce-Moniz, Martim, 2020. "Increasing electric vehicle adoption through the optimal deployment of fast-charging stations for local and long-distance travel," European Journal of Operational Research, Elsevier, vol. 285(1), pages 263-278.
    9. Xu, Min & Meng, Qiang, 2020. "Optimal deployment of charging stations considering path deviation and nonlinear elastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 135(C), pages 120-142.
    10. Zhang, Anpeng & Kang, Jee Eun & Kwon, Changhyun, 2017. "Incorporating demand dynamics in multi-period capacitated fast-charging location planning for electric vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 5-29.
    11. Arslan, Okan & Karaşan, Oya Ekin, 2016. "A Benders decomposition approach for the charging station location problem with plug-in hybrid electric vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 670-695.
    12. Wang, Yue & Shi, Jianmai & Wang, Rui & Liu, Zhong & Wang, Ling, 2018. "Siting and sizing of fast charging stations in highway network with budget constraint," Applied Energy, Elsevier, vol. 228(C), pages 1255-1271.
    13. Scheiper, Barbara & Schiffer, Maximilian & Walther, Grit, 2019. "The flow refueling location problem with load flow control," Omega, Elsevier, vol. 83(C), pages 50-69.
    14. Schiffer, Maximilian & Walther, Grit, 2017. "The electric location routing problem with time windows and partial recharging," European Journal of Operational Research, Elsevier, vol. 260(3), pages 995-1013.
    15. Trung Hieu Tran & Thu Ba T. Nguyen, 2019. "Alternative-fuel station network design under impact of station failures," Annals of Operations Research, Springer, vol. 279(1), pages 151-186, August.
    16. Patrick Jochem & Carsten Brendel & Melanie Reuter-Oppermann & Wolf Fichtner & Stefan Nickel, 2016. "Optimizing the allocation of fast charging infrastructure along the German autobahn," Journal of Business Economics, Springer, vol. 86(5), pages 513-535, July.
    17. Okan Arslan & Oya Ekin Karaşan & Ridha Mahjoub & Hande Yaman, 2019. "A Branch-and-Cut Algorithm for the Alternative Fuel Refueling Station Location Problem with Routing," Transportation Science, INFORMS, vol. 53(4), pages 1107-1125, July.
    18. Meysam Hosseini & Arsalan Rahmani & F. Hooshmand, 2022. "A robust model for recharging station location problem," Operational Research, Springer, vol. 22(4), pages 4397-4440, September.
    19. Chung, Byung Do & Park, Sungjae & Kwon, Changhyun, 2018. "Equitable distribution of recharging stations for electric vehicles," Socio-Economic Planning Sciences, Elsevier, vol. 63(C), pages 1-11.
    20. Lee, Chungmok & Han, Jinil, 2017. "Benders-and-Price approach for electric vehicle charging station location problem under probabilistic travel range," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 130-152.

    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:transb:v:118:y:2018:i:c:p:124-142. 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/wps/find/journaldescription.cws_home/548/description#description .

    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.