IDEAS home Printed from https://ideas.repec.org/a/eee/transe/v174y2023ics1366554523001163.html
   My bibliography  Save this article

Joint location and pricing optimization of self-service in urban logistics considering customers’ choice behavior

Author

Listed:
  • Zhang, Wenwei
  • Xu, Min
  • Wang, Shuaian

Abstract

Self-services by widely-deployed stations allow customers to pick up their packages themselves and have great potential to reduce last-mile delivery cost by aggregating spatial demands. An efficient self-service design for the locations of self-service stations and the service price will help to shift customers from the home-delivery service to the cost-effective self-service, thus reducing the vehicle routing cost of the dedicated fleet. This study proposes a comprehensive modeling and optimization framework for the joint self-service station location and service price (SLSP) optimization problem considering customers’ choice behavior and vehicle routing in order to maximize the profit of the logistics service providers in the last-mile delivery system. Logit equilibrium and Wardrop equilibrium conditions are employed to characterize the delivery service choice and route choice behavior of customers. A convex optimization model is developed to capture the distribution of customers opting for home-delivery service and self-services at various locations, who aim to maximize their expected utilities. We then formulate the SLSP problem as a mathematical program with complementarity constraints. An active set algorithm is proposed to solve the model effectively. Numerical experiments based on the Nguyen-Dupuis and Sioux Falls networks are conducted to demonstrate the proposed framework and derive managerial insights.

Suggested Citation

  • 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).
  • Handle: RePEc:eee:transe:v:174:y:2023:i:c:s1366554523001163
    DOI: 10.1016/j.tre.2023.103128
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1366554523001163
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.tre.2023.103128?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. Arne Stolbjerg Drud, 1994. "CONOPT—A Large-Scale GRG Code," INFORMS Journal on Computing, INFORMS, vol. 6(2), pages 207-216, May.
    2. Lin, Yunhui & Wang, Yuan & Lee, Loo Hay & Chew, Ek Peng, 2022. "Profit-maximizing parcel locker location problem under threshold Luce model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).
    3. He, Fang & Wu, Di & Yin, Yafeng & Guan, Yongpei, 2013. "Optimal deployment of public charging stations for plug-in hybrid electric vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 47(C), pages 87-101.
    4. Pahwa, Anmol & Jaller, Miguel, 2022. "A cost-based comparative analysis of different last-mile strategies for e-commerce delivery," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 164(C).
    5. Ansari, Sina & Başdere, Mehmet & Li, Xiaopeng & Ouyang, Yanfeng & Smilowitz, Karen, 2018. "Advancements in continuous approximation models for logistics and transportation systems: 1996–2016," Transportation Research Part B: Methodological, Elsevier, vol. 107(C), pages 229-252.
    6. Perboli, Guido & Brotcorne, Luce & Bruni, Maria Elena & Rosano, Mariangela, 2021. "A new model for Last-Mile Delivery and Satellite Depots management: The impact of the on-demand economy," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 145(C).
    7. Yezekael Hayel & Dominique Quadri & Tania Jiménez & Luce Brotcorne, 2016. "Decentralized optimization of last-mile delivery services with non-cooperative bounded rational customers," Annals of Operations Research, Springer, vol. 239(2), pages 451-469, April.
    8. Sang Nguyen & Clermont Dupuis, 1984. "An Efficient Method for Computing Traffic Equilibria in Networks with Asymmetric Transportation Costs," Transportation Science, INFORMS, vol. 18(2), pages 185-202, May.
    9. Liu, Haoxiang & Zou, Yuncheng & Chen, Ya & Long, Jiancheng, 2021. "Optimal locations and electricity prices for dynamic wireless charging links of electric vehicles for sustainable transportation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    10. Lin Zhou & Xu Wang & Lin Ni & Yun Lin, 2016. "Location-Routing Problem with Simultaneous Home Delivery and Customer’s Pickup for City Distribution of Online Shopping Purchases," Sustainability, MDPI, vol. 8(8), pages 1-20, August.
    11. Holger Scheel & Stefan Scholtes, 2000. "Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity," Mathematics of Operations Research, INFORMS, vol. 25(1), pages 1-22, February.
    12. Janjevic, Milena & Winkenbach, Matthias & Merchán, Daniel, 2019. "Integrating collection-and-delivery points in the strategic design of urban last-mile e-commerce distribution networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 131(C), pages 37-67.
    13. 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.
    14. Lihui Zhang & Siriphong Lawphongpanich & Yafeng Yin, 2009. "An Active-set Algorithm for Discrete Network Design Problems," Springer Books, in: William H. K. Lam & S. C. Wong & Hong K. Lo (ed.), Transportation and Traffic Theory 2009: Golden Jubilee, chapter 0, pages 283-300, Springer.
    15. 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.
    16. He, Fang & Yin, Yafeng & Lawphongpanich, Siriphong, 2014. "Network equilibrium models with battery electric vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 306-319.
    17. Max Shen, Zuo-Jun & Qi, Lian, 2007. "Incorporating inventory and routing costs in strategic location models," European Journal of Operational Research, Elsevier, vol. 179(2), pages 372-389, June.
    18. Teodora Dan & Patrice Marcotte, 2019. "Competitive Facility Location with Selfish Users and Queues," Operations Research, INFORMS, vol. 67(2), pages 479-497, March.
    19. Lin, Yun Hui & Wang, Yuan & He, Dongdong & Lee, Loo Hay, 2020. "Last-mile delivery: Optimal locker location under multinomial logit choice model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 142(C).
    20. 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.
    21. Xu, Min & Meng, Qiang & Liu, Kai, 2017. "Network user equilibrium problems for the mixed battery electric vehicles and gasoline vehicles subject to battery swapping stations and road grade constraints," Transportation Research Part B: Methodological, Elsevier, vol. 99(C), pages 138-166.
    22. Kucukyazici, Beste & Zhang, Yue & Ardestani-Jaafari, Amir & Song, Lijie, 2020. "Incorporating patient preferences in the design and operation of cancer screening facility networks," European Journal of Operational Research, Elsevier, vol. 287(2), pages 616-632.
    23. R Aboolian & O Berman & D Krass, 2008. "Optimizing pricing and location decisions for competitive service facilities charging uniform price," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(11), pages 1506-1519, November.
    24. Eléonora Morganti & Laetitia Dablanc & François Fortin, 2014. "Final deliveries for online shopping: the deployment of pickup point networks in urban and suburban areas," Post-Print hal-01067223, HAL.
    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. Chen, Zhibin & He, Fang & Yin, Yafeng, 2016. "Optimal deployment of charging lanes for electric vehicles in transportation networks," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 344-365.
    2. 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.
    3. Ke, Jintao & Cen, Xuekai & Yang, Hai & Chen, Xiqun & Ye, Jieping, 2019. "Modelling drivers’ working and recharging schedules in a ride-sourcing market with electric vehicles and gasoline vehicles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 125(C), pages 160-180.
    4. Liu, Haoxiang & Wang, David Z.W., 2017. "Locating multiple types of charging facilities for battery electric vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 30-55.
    5. Janjevic, Milena & Merchán, Daniel & Winkenbach, Matthias, 2021. "Designing multi-tier, multi-service-level, and multi-modal last-mile distribution networks for omni-channel operations," European Journal of Operational Research, Elsevier, vol. 294(3), pages 1059-1077.
    6. Xu, Min & Meng, Qiang & Liu, Kai & Yamamoto, Toshiyuki, 2017. "Joint charging mode and location choice model for battery electric vehicle users," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 68-86.
    7. Cen, Xuekai & Lo, Hong K. & Li, Lu & Lee, Enoch, 2018. "Modeling electric vehicles adoption for urban commute trips," Transportation Research Part B: Methodological, Elsevier, vol. 117(PA), pages 431-454.
    8. Xu, Xianhao & Shen, Yaohan & (Amanda) Chen, Wanying & Gong, Yeming & Wang, Hongwei, 2021. "Data-driven decision and analytics of collection and delivery point location problems for online retailers," Omega, Elsevier, vol. 100(C).
    9. Liu, Haoxiang & Zou, Yuncheng & Chen, Ya & Long, Jiancheng, 2021. "Optimal locations and electricity prices for dynamic wireless charging links of electric vehicles for sustainable transportation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    10. Faugère, Louis & Klibi, Walid & White, Chelsea & Montreuil, Benoit, 2022. "Dynamic pooled capacity deployment for urban parcel logistics," European Journal of Operational Research, Elsevier, vol. 303(2), pages 650-667.
    11. 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.
    12. Xu, Min & Meng, Qiang & Liu, Kai, 2017. "Network user equilibrium problems for the mixed battery electric vehicles and gasoline vehicles subject to battery swapping stations and road grade constraints," Transportation Research Part B: Methodological, Elsevier, vol. 99(C), pages 138-166.
    13. Xinmin Hu & Daniel Ralph, 2007. "Using EPECs to Model Bilevel Games in Restructured Electricity Markets with Locational Prices," Operations Research, INFORMS, vol. 55(5), pages 809-827, October.
    14. John Olsson & Daniel Hellström & Henrik Pålsson, 2019. "Framework of Last Mile Logistics Research: A Systematic Review of the Literature," Sustainability, MDPI, vol. 11(24), pages 1-25, December.
    15. Wang, Hua & Meng, Qiang & Wang, Jing & Zhao, De, 2021. "An electric-vehicle corridor model in a dense city with applications to charging location and traffic management," Transportation Research Part B: Methodological, Elsevier, vol. 149(C), pages 79-99.
    16. Kai Liu & Sijia Luo & Jing Zhou, 2020. "En-Route Battery Management and a Mixed Network Equilibrium Problem Based on Electric Vehicle Drivers’ En-Route Recharging Behaviors," Energies, MDPI, vol. 13(16), pages 1-14, August.
    17. Zhiwei Chen & Yucong Hu & Jutint Li & Xing Wu, 2020. "Optimal Deployment of Electric Bicycle Sharing Stations: Model Formulation and Solution Technique," Networks and Spatial Economics, Springer, vol. 20(1), pages 99-136, March.
    18. Klaus Mittenzwei & Wolfgang Britz, 2018. "Analysing Farm‐specific Payments for Norway using the Agrispace Model," Journal of Agricultural Economics, Wiley Blackwell, vol. 69(3), pages 777-793, September.
    19. Shafqat Jawad & Junyong Liu, 2020. "Electrical Vehicle Charging Services Planning and Operation with Interdependent Power Networks and Transportation Networks: A Review of the Current Scenario and Future Trends," Energies, MDPI, vol. 13(13), pages 1-24, July.
    20. Ni, Yuanming & Steinshamn, Stein I. & Kvamsdal, Sturla F., 2022. "Negative shocks in an age-structured bioeconomic model and how to deal with them," Economic Analysis and Policy, Elsevier, vol. 76(C), pages 15-30.

    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:transe:v:174:y:2023:i:c:s1366554523001163. 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/600244/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.