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Path and Speed Optimization for Conflict-Free Pickup and Delivery Under Time Windows

Author

Listed:
  • Tommaso Adamo

    (Department of Engineering for Innovation, Università del Salento, 73100 Lecce, Italy)

  • Tolga Bektaş

    (Centre for Operational Research, Management Science and Information Systems, Southampton Business School, University of Southampton, Southampton, Highfield SO17 1BJ, United Kingdom)

  • Gianpaolo Ghiani

    (Department of Engineering for Innovation, Università del Salento, 73100 Lecce, Italy)

  • Emanuela Guerriero

    (Department of Engineering for Innovation, Università del Salento, 73100 Lecce, Italy)

  • Emanuele Manni

    (Department of Engineering for Innovation, Università del Salento, 73100 Lecce, Italy)

Abstract

This article introduces a variant of the conflict-free pickup and delivery problem with time windows in which speeds can be regulated. The problem arises in several areas of transportation and logistics including routing and scheduling of automated guided vehicles in port terminals and coordination of unmanned aerial vehicles in controlled airspace. A particular aspect of this problem is that at most one vehicle can traverse an arc of the transportation network at any time. The problem studied in this paper is to determine the vehicle paths and speeds on each arc of the path in such a way that no conflicts arise, the time windows are met, and the total energy consumption is minimized. A branch-and-bound algorithm is described in which a lower bound is obtained by solving a separable nonlinear problem in quadratic time. If the solution of the relaxation is not conflict free, a set of space-based and time-based branching constraints are generated to resolve the detected conflicts. Computational experiments show that, when compared with a state-of-the-art approach, the proposed method is able to generate a larger number of feasible solutions (42% on average) and reduce the computation time by an order of magnitude. Moreover, the approach results in an average energy savings of around 70%.

Suggested Citation

  • Tommaso Adamo & Tolga Bektaş & Gianpaolo Ghiani & Emanuela Guerriero & Emanuele Manni, 2018. "Path and Speed Optimization for Conflict-Free Pickup and Delivery Under Time Windows," Transportation Science, INFORMS, vol. 52(4), pages 739-755, August.
    • Handle: RePEc:inm:ortrsc:v:52:y:2018:i:4:p:739-755
    DOI: 10.1287/trsc.2017.0816
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    References listed on IDEAS

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    1. Dumas, Yvan & Desrosiers, Jacques & Soumis, Francois, 1991. "The pickup and delivery problem with time windows," European Journal of Operational Research, Elsevier, vol. 54(1), pages 7-22, September.
    2. 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.
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    4. 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.
    5. Nirup N. Krishnamurthy & Rajan Batta & Mark H. Karwan, 1993. "Developing Conflict-Free Routes for Automated Guided Vehicles," Operations Research, INFORMS, vol. 41(6), pages 1077-1090, December.
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    Cited by:

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    2. Xing, Zheng & Liu, Haitao & Wang, Tingsong & Chew, Ek Peng & Lee, Loo Hay & Tan, Kok Choon, 2023. "Integrated automated guided vehicle dispatching and equipment scheduling with speed optimization," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 169(C).

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