IDEAS home Printed from https://ideas.repec.org/a/gam/jsusta/v14y2022i20p13459-d946413.html
   My bibliography  Save this article

Design and Assessment of an Urban Circular Combined Truck–Drone Delivery System Using Continuum Approximation Models and Integer Programming

Author

Listed:
  • David Canca

    (Department of Industrial Engineering and Management Science, School of Engineering, Universidad de Sevilla, Av. de los Descubrimentos s/n, 41092 Seville, Spain)

  • Belén Navarro-Carmona

    (Department of Industrial Engineering and Management Science, School of Engineering, Universidad de Sevilla, Av. de los Descubrimentos s/n, 41092 Seville, Spain)

  • José Luis Andrade-Pineda

    (Robotics, Vision and Control Group, School of Engineering, Universidad de Sevilla, Av. de los Descubrimentos s/n, 41092 Seville, Spain)

Abstract

The analysis of tandem truck–drone delivery systems has recently attracted the attention of the research community, mainly focused on extending classical operational research problems such as the multiple traveling salesperson or the vehicle-routing problem. In this paper, we explore the design of an urban massive combined delivery system using a continuum approximation (CA) method for a circular city characterized by a certain density of customers. Starting from a set of parameters defining the main characteristics of trucks and drones, a sectorization of the delivery area is first determined. Then, for a given truck capacity, the optimal number of trucks is obtained considering different scenarios using three integer programming models. We propose several performance indicators to compare the tandem approach with the alternative solely truck delivery system.

Suggested Citation

  • David Canca & Belén Navarro-Carmona & José Luis Andrade-Pineda, 2022. "Design and Assessment of an Urban Circular Combined Truck–Drone Delivery System Using Continuum Approximation Models and Integer Programming," Sustainability, MDPI, vol. 14(20), pages 1-30, October.
    • Handle: RePEc:gam:jsusta:v:14:y:2022:i:20:p:13459-:d:946413
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2071-1050/14/20/13459/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2071-1050/14/20/13459/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Campbell, James F., 1990. "Locating transportation terminals to serve an expanding demand," Transportation Research Part B: Methodological, Elsevier, vol. 24(3), pages 173-192, June.
    2. Luo, Sida & Nie, Yu (Marco), 2020. "Paired-line hybrid transit design considering spatial heterogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 132(C), pages 320-339.
    3. Wang, Xin & Ouyang, Yanfeng, 2013. "A continuum approximation approach to competitive facility location design under facility disruption risks," Transportation Research Part B: Methodological, Elsevier, vol. 50(C), pages 90-103.
    4. Ouyang, Yanfeng & Nourbakhsh, Seyed Mohammad & Cassidy, Michael J., 2014. "Continuum approximation approach to bus network design under spatially heterogeneous demand," Transportation Research Part B: Methodological, Elsevier, vol. 68(C), pages 333-344.
    5. Carlos F. Daganzo, 2005. "Logistics Systems Analysis," Springer Books, Springer, edition 0, number 978-3-540-27516-9, September.
    6. Yanfeng Ouyang & Carlos F. Daganzo, 2006. "Discretization and Validation of the Continuum Approximation Scheme for Terminal System Design," Transportation Science, INFORMS, vol. 40(1), pages 89-98, February.
    7. Niels Agatz & Paul Bouman & Marie Schmidt, 2018. "Optimization Approaches for the Traveling Salesman Problem with Drone," Transportation Science, INFORMS, vol. 52(4), pages 965-981, August.
    8. Chen, Peng (Will) & Nie, Yu (Marco), 2018. "Optimal design of demand adaptive paired-line hybrid transit: Case of radial route structure," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 110(C), pages 71-89.
    9. 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.
    10. Chen, Haoyu & Gu, Weihua & Cassidy, Michael J. & Daganzo, Carlos F., 2015. "Optimal transit service atop ring-radial and grid street networks: A continuum approximation design method and comparisons," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 755-774.
    11. Chen, Jingxu & Liu, Zhiyuan & Wang, Shuaian & Chen, Xuewu, 2018. "Continuum approximation modeling of transit network design considering local route service and short-turn strategy," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 119(C), pages 165-188.
    12. Aldaihani, Majid M. & Quadrifoglio, Luca & Dessouky, Maged M. & Hall, Randolph, 2004. "Network design for a grid hybrid transit service," Transportation Research Part A: Policy and Practice, Elsevier, vol. 38(7), pages 511-530, August.
    13. Jeong, Ho Young & Song, Byung Duk & Lee, Seokcheon, 2019. "Truck-drone hybrid delivery routing: Payload-energy dependency and No-Fly zones," International Journal of Production Economics, Elsevier, vol. 214(C), pages 220-233.
    14. Langevin, André & Mbaraga, Pontien & Campbell, James F., 1996. "Continuous approximation models in freight distribution: An overview," Transportation Research Part B: Methodological, Elsevier, vol. 30(3), pages 163-188, June.
    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. 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.
    2. Xin Wang & Michael K. Lim & Yanfeng Ouyang, 2017. "A Continuum Approximation Approach to the Dynamic Facility Location Problem in a Growing Market," Transportation Science, INFORMS, vol. 51(1), pages 343-357, February.
    3. Luo, Sida & Nie, Yu (Marco), 2020. "On the role of route choice modeling in transit sketchy design," Transportation Research Part A: Policy and Practice, Elsevier, vol. 136(C), pages 223-243.
    4. Fan, Hongqiang & Yun, Lifen & Li, Xiaopeng, 2022. "A linear-time crystal-growth algorithm for discretization of continuum approximation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 161(C).
    5. Wang, Yineng & Lin, Xi & He, Fang & Li, Meng, 2022. "Designing transit-oriented multi-modal transportation systems considering travelers’ choices," Transportation Research Part B: Methodological, Elsevier, vol. 162(C), pages 292-327.
    6. Li, Xiaopeng & Ma, Jiaqi & Cui, Jianxun & Ghiasi, Amir & Zhou, Fang, 2016. "Design framework of large-scale one-way electric vehicle sharing systems: A continuum approximation model," Transportation Research Part B: Methodological, Elsevier, vol. 88(C), pages 21-45.
    7. Luo, Sida & Nie, Yu (Marco), 2020. "Paired-line hybrid transit design considering spatial heterogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 132(C), pages 320-339.
    8. Wang, Xiaotian & Wang, Xin, 2019. "Flexible parking reservation system and pricing: A continuum approximation approach," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 408-434.
    9. Wang, Xin & Lim, Michael K. & Ouyang, Yanfeng, 2015. "Infrastructure deployment under uncertainties and competition: The biofuel industry case," Transportation Research Part B: Methodological, Elsevier, vol. 78(C), pages 1-15.
    10. Luo, Sida & Nie, Yu (Marco), 2019. "Impact of ride-pooling on the nature of transit network design," Transportation Research Part B: Methodological, Elsevier, vol. 129(C), pages 175-192.
    11. Campbell, James F., 2013. "A continuous approximation model for time definite many-to-many transportation," Transportation Research Part B: Methodological, Elsevier, vol. 54(C), pages 100-112.
    12. Ellegood, William A. & Campbell, James F. & North, Jeremy, 2015. "Continuous approximation models for mixed load school bus routing," Transportation Research Part B: Methodological, Elsevier, vol. 77(C), pages 182-198.
    13. Masing, Berenike & Lindner, Niels & Borndörfer, Ralf, 2022. "The price of symmetric line plans in the Parametric City," Transportation Research Part B: Methodological, Elsevier, vol. 166(C), pages 419-443.
    14. Lei, Chao & Ouyang, Yanfeng, 2018. "Continuous approximation for demand balancing in solving large-scale one-commodity pickup and delivery problems," Transportation Research Part B: Methodological, Elsevier, vol. 109(C), pages 90-109.
    15. Hugo Badia, 2020. "Comparison of Bus Network Structures in Face of Urban Dispersion for a Ring-Radial City," Networks and Spatial Economics, Springer, vol. 20(1), pages 233-271, March.
    16. 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.
    17. Anna Franceschetti & Ola Jabali & Gilbert Laporte, 2017. "Continuous approximation models in freight distribution management," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(3), pages 413-433, October.
    18. Fan, Wenbo & Mei, Yu & Gu, Weihua, 2018. "Optimal design of intersecting bimodal transit networks in a grid city," Transportation Research Part B: Methodological, Elsevier, vol. 111(C), pages 203-226.
    19. Yun Bai & Xiaopeng Li & Fan Peng & Xin Wang & Yanfeng Ouyang, 2015. "Effects of Disruption Risks on Biorefinery Location Design," Energies, MDPI, vol. 8(2), pages 1-19, February.
    20. Cui, Jianxun & Zhao, Meng & Li, Xiaopeng & Parsafard, Mohsen & An, Shi, 2016. "Reliable design of an integrated supply chain with expedited shipments under disruption risks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 95(C), pages 143-163.

    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:gam:jsusta:v:14:y:2022:i:20:p:13459-:d:946413. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.