IDEAS home Printed from https://ideas.repec.org/a/eee/transe/v203y2025ics1366554525003837.html

Integrating crowd-shipping into last-mile delivery: A two-stage stochastic optimization approach

Author

Listed:
  • Tang, Shixuan
  • Huang, Wentao
  • Jian, Sisi

Abstract

Crowd-shipping has emerged as a cost-effective solution to meet the growing demand for urban last-mile delivery. This paper examines the integration of partial crowd-shipping into traditional parcel delivery from the perspective of a delivery company. We explicitly consider both crowd-shipping supply and parcel demand uncertainties, and formulate a parcel delivery problem with crowd-shipping in stochastic programming (PDPCS-SP) that aims to minimize the expected total operational costs. Given the computational complexity of the problem, we develop a heuristic algorithm based on an adaptive large neighborhood search (ALNS) to efficiently solve large-scale instances. Extensive numerical experiments demonstrate the effectiveness and efficiency of the proposed PDPCS-SP model and solution approach, highlighting the potential to enhance the sustainability and economic viability of last-mile delivery operations.

Suggested Citation

  • Tang, Shixuan & Huang, Wentao & Jian, Sisi, 2025. "Integrating crowd-shipping into last-mile delivery: A two-stage stochastic optimization approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 203(C).
  • Handle: RePEc:eee:transe:v:203:y:2025:i:c:s1366554525003837
    DOI: 10.1016/j.tre.2025.104342
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1366554525003837
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.tre.2025.104342?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Zhi Chen & Melvyn Sim & Peng Xiong, 2020. "Robust Stochastic Optimization Made Easy with RSOME," Management Science, INFORMS, vol. 66(8), pages 3329-3339, August.
    2. Wang, Wei & Wang, Shuaian & Zhen, Lu & Qu, Xiaobo, 2022. "EMS location-allocation problem under uncertainties," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 168(C).
    3. Devari, Aashwinikumar & Nikolaev, Alexander G. & He, Qing, 2017. "Crowdsourcing the last mile delivery of online orders by exploiting the social networks of retail store customers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 105(C), pages 105-122.
    4. An, Kun & Lo, Hong K., 2016. "Two-phase stochastic program for transit network design under demand uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 84(C), pages 157-181.
    5. Akeb, Hakim & Moncef, Btissam & Durand, Bruno, 2018. "Building a collaborative solution in dense urban city settings to enhance parcel delivery: An effective crowd model in Paris," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 119(C), pages 223-233.
    6. Huang, Wei & Huang, Wentao & Jian, Sisi, 2022. "One-way carsharing service design under demand uncertainty: A service reliability-based two-stage stochastic program approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 159(C).
    7. Sina Mohri, Seyed & Ghaderi, Hadi & Nassir, Neema & Thompson, Russell G., 2023. "Crowdshipping for sustainable urban logistics: A systematic review of the literature," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 178(C).
    8. Gerardo Berbeglia & Jean-François Cordeau & Irina Gribkovskaia & Gilbert Laporte, 2007. "Rejoinder on: Static pickup and delivery problems: a classification scheme and survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(1), pages 45-47, July.
    9. Bruno Durand & Hakim Akeb & Btissam Moncef, 2018. "Building a collaborative solution in dense urban city settings to enhance parcel delivery: An effective crowd model in Paris [L'élaboration d'une solution collaborative de livraisons urbaines en vue d'améliorer la distribution des colis : un modèl," Post-Print hal-01781155, HAL.
    10. Wang, Li & Xu, Min & Qin, Hu, 2023. "Joint optimization of parcel allocation and crowd routing for crowdsourced last-mile delivery," Transportation Research Part B: Methodological, Elsevier, vol. 171(C), pages 111-135.
    11. Dimitris Bertsimas & Omid Nohadani & Kwong Meng Teo, 2010. "Nonconvex Robust Optimization for Problems with Constraints," INFORMS Journal on Computing, INFORMS, vol. 22(1), pages 44-58, February.
    12. Chrysanthos E. Gounaris & Wolfram Wiesemann & Christodoulos A. Floudas, 2013. "The Robust Capacitated Vehicle Routing Problem Under Demand Uncertainty," Operations Research, INFORMS, vol. 61(3), pages 677-693, June.
    13. Silva, Marco & Pedroso, João Pedro & Viana, Ana, 2023. "Stochastic crowd shipping last-mile delivery with correlated marginals and probabilistic constraints," European Journal of Operational Research, Elsevier, vol. 307(1), pages 249-265.
    14. Wenyi Chen & Martijn Mes & Marco Schutten, 2018. "Multi-hop driver-parcel matching problem with time windows," Flexible Services and Manufacturing Journal, Springer, vol. 30(3), pages 517-553, September.
    15. Su, E. & Qin, Hu & Li, Jiliu & Pan, Kai, 2023. "An exact algorithm for the pickup and delivery problem with crowdsourced bids and transshipment," Transportation Research Part B: Methodological, Elsevier, vol. 177(C).
    16. Meysam Cheramin & Jianqiang Cheng & Ruiwei Jiang & Kai Pan, 2022. "Computationally Efficient Approximations for Distributionally Robust Optimization Under Moment and Wasserstein Ambiguity," INFORMS Journal on Computing, INFORMS, vol. 34(3), pages 1768-1794, May.
    17. Daniel Zhuoyu Long & Jin Qi & Aiqi Zhang, 2024. "Supermodularity in Two-Stage Distributionally Robust Optimization," Management Science, INFORMS, vol. 70(3), pages 1394-1409, March.
    18. Garrido, Rodrigo A. & Lamas, Patricio & Pino, Francisco J., 2015. "A stochastic programming approach for floods emergency logistics," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 75(C), pages 18-31.
    19. Gerardo Berbeglia & Jean-François Cordeau & Irina Gribkovskaia & Gilbert Laporte, 2007. "Static pickup and delivery problems: a classification scheme and survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(1), pages 1-31, July.
    20. Lo, Hong K. & An, Kun & Lin, Wei-hua, 2013. "Ferry service network design under demand uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 59(C), pages 48-70.
    21. Bart P. G. Van Parys & Peyman Mohajerin Esfahani & Daniel Kuhn, 2021. "From Data to Decisions: Distributionally Robust Optimization Is Optimal," Management Science, INFORMS, vol. 67(6), pages 3387-3402, June.
    22. Cai, Jinshu & Ding, Yanyan & Jian, Sisi, 2025. "Regulation of price discrimination in the transportation market under duopoly competition," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 199(C).
    23. Archetti, Claudia & Savelsbergh, Martin & Speranza, M. Grazia, 2016. "The Vehicle Routing Problem with Occasional Drivers," European Journal of Operational Research, Elsevier, vol. 254(2), pages 472-480.
    24. George B. Dantzig, 1955. "Linear Programming under Uncertainty," Management Science, INFORMS, vol. 1(3-4), pages 197-206, 04-07.
    25. Kianoush Mousavi & Merve Bodur & Matthew J. Roorda, 2022. "Stochastic Last-Mile Delivery with Crowd-Shipping and Mobile Depots," Transportation Science, INFORMS, vol. 56(3), pages 612-630, May.
    26. A. Ben-Tal & A. Nemirovski, 1998. "Robust Convex Optimization," Mathematics of Operations Research, INFORMS, vol. 23(4), pages 769-805, November.
    27. Dimitris Bertsimas & Melvyn Sim & Meilin Zhang, 2019. "Adaptive Distributionally Robust Optimization," Management Science, INFORMS, vol. 65(2), pages 604-618, February.
    28. Luo, Zhixing & Qin, Hu & Zhang, Dezhi & Lim, Andrew, 2016. "Adaptive large neighborhood search heuristics for the vehicle routing problem with stochastic demands and weight-related cost," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 85(C), pages 69-89.
    29. Kafle, Nabin & Zou, Bo & Lin, Jane, 2017. "Design and modeling of a crowdsource-enabled system for urban parcel relay and delivery," Transportation Research Part B: Methodological, Elsevier, vol. 99(C), pages 62-82.
    30. Aharon Ben-Tal & Dick den Hertog & Anja De Waegenaere & Bertrand Melenberg & Gijs Rennen, 2013. "Robust Solutions of Optimization Problems Affected by Uncertain Probabilities," Management Science, INFORMS, vol. 59(2), pages 341-357, April.
    31. Zehtabian, Shohre & Larsen, Christian & Wøhlk, Sanne, 2022. "Estimation of the arrival time of deliveries by occasional drivers in a crowd-shipping setting," European Journal of Operational Research, Elsevier, vol. 303(2), pages 616-632.
    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. Yang, Dingtong & Hyland, Michael F. & Jayakrishnan, R., 2024. "Tackling the crowdsourced shared-trip delivery problem at scale with a novel decomposition heuristic," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 188(C).
    2. Behrend, Moritz & Meisel, Frank & Fagerholt, Kjetil & Andersson, Henrik, 2019. "An exact solution method for the capacitated item-sharing and crowdshipping problem," European Journal of Operational Research, Elsevier, vol. 279(2), pages 589-604.
    3. Boysen, Nils & Emde, Simon & Schwerdfeger, Stefan, 2022. "Crowdshipping by employees of distribution centers: Optimization approaches for matching supply and demand," European Journal of Operational Research, Elsevier, vol. 296(2), pages 539-556.
    4. Pourrahmani, Elham & Jaller, Miguel, 2021. "Crowdshipping in last mile deliveries: Operational challenges and research opportunities," Socio-Economic Planning Sciences, Elsevier, vol. 78(C).
    5. Behrend, Moritz & Meisel, Frank & Fagerholt, Kjetil & Andersson, Henrik, 2021. "A multi-period analysis of the integrated item-sharing and crowdshipping problem," European Journal of Operational Research, Elsevier, vol. 292(2), pages 483-499.
    6. Alnaggar, Aliaa & Gzara, Fatma & Bookbinder, James H., 2021. "Crowdsourced delivery: A review of platforms and academic literature," Omega, Elsevier, vol. 98(C).
    7. Alnaggar, Aliaa & Bhatt, Sahil, 2026. "Fleet size planning in crowdsourced delivery: Balancing service level and driver utilization," Omega, Elsevier, vol. 139(C).
    8. Wu, Zhongqi & Jiang, Hui & Zhou, Yangye & Li, Haoyan, 2024. "Enhancing emergency medical service location model for spatial accessibility and equity under random demand and travel time," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 185(C).
    9. Xiangyi Fan & Grani A. Hanasusanto, 2024. "A Decision Rule Approach for Two-Stage Data-Driven Distributionally Robust Optimization Problems with Random Recourse," INFORMS Journal on Computing, INFORMS, vol. 36(2), pages 526-542, March.
    10. Xiao, Fei & Wang, Haijun & Guo, Shuojia & Guan, Xu & Liu, Baoshan, 2021. "Efficient and truthful multi-attribute auctions for crowdsourced delivery," International Journal of Production Economics, Elsevier, vol. 240(C).
    11. Haolin Ruan & Zhi Chen & Chin Pang Ho, 2023. "Adjustable Distributionally Robust Optimization with Infinitely Constrained Ambiguity Sets," INFORMS Journal on Computing, INFORMS, vol. 35(5), pages 1002-1023, September.
    12. Nils Boysen & Stefan Fedtke & Stefan Schwerdfeger, 2021. "Last-mile delivery concepts: a survey from an operational research perspective," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(1), pages 1-58, March.
    13. Garcia-Herrera, Alisson & Serrano-Hernandez, Adrian & Faulin, Javier, 2025. "Understanding the dynamics of crowdshipping in last-mile distribution within urban mobility: A comprehensive framework," Socio-Economic Planning Sciences, Elsevier, vol. 101(C).
    14. Simona Mancini & Margaretha Gansterer, 2024. "Bundle generation for the vehicle routing problem with occasional drivers and time windows," Flexible Services and Manufacturing Journal, Springer, vol. 36(4), pages 1189-1221, December.
    15. Shanshan Wang & Erick Delage, 2024. "A Column Generation Scheme for Distributionally Robust Multi-Item Newsvendor Problems," INFORMS Journal on Computing, INFORMS, vol. 36(3), pages 849-867, May.
    16. Zhi Chen & Peng Xiong, 2023. "RSOME in Python: An Open-Source Package for Robust Stochastic Optimization Made Easy," INFORMS Journal on Computing, INFORMS, vol. 35(4), pages 717-724, July.
    17. Mohri, Seyed Sina & Nassir, Neema & Thompson, Russell G. & Lavieri, Patricia Sauri, 2024. "Public transportation-based crowd-shipping initiatives: Are users willing to participate? Why not?," Transportation Research Part A: Policy and Practice, Elsevier, vol. 182(C).
    18. Feng Liu & Zhi Chen & Shuming Wang, 2023. "Globalized Distributionally Robust Counterpart," INFORMS Journal on Computing, INFORMS, vol. 35(5), pages 1120-1142, September.
    19. Dimitris Bertsimas & Shimrit Shtern & Bradley Sturt, 2023. "A Data-Driven Approach to Multistage Stochastic Linear Optimization," Management Science, INFORMS, vol. 69(1), pages 51-74, January.
    20. Baals, Julian & Emde, Simon & Turkensteen, Marcel, 2023. "Minimizing earliness-tardiness costs in supplier networks—A just-in-time truck routing problem," European Journal of Operational Research, Elsevier, vol. 306(2), pages 707-741.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:203:y:2025:i:c:s1366554525003837. 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.