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New formulations for the Scheduled Service Network Design Problem

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  • Hewitt, Mike
  • Lehuédé, Fabien

Abstract

We propose a new approach to formulating the Scheduled Service Network Design Problem (SSNDP) that involves modeling with enumerated consolidations of shipments routed on the physical network. This is in contrast to the classical approach of capturing the synchronization of vehicles and shipments needed for consolidation with a time-expanded network. The proposed formulation has both a stronger linear relaxation and is less symmetric. We present multiple speed-up techniques and with an extensive computational study illustrate that the consolidation-based formulation is much easier to solve with an off-the-shelf solver than the classical formulation based on a time-expanded network.

Suggested Citation

  • Hewitt, Mike & Lehuédé, Fabien, 2023. "New formulations for the Scheduled Service Network Design Problem," Transportation Research Part B: Methodological, Elsevier, vol. 172(C), pages 117-133.
    • Handle: RePEc:eee:transb:v:172:y:2023:i:c:p:117-133
    DOI: 10.1016/j.trb.2023.04.002
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    References listed on IDEAS

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    1. Teodor Gabriel Crainic & Bernard Gendron, 2021. "Exact Methods for Fixed-Charge Network Design," Springer Books, in: Teodor Gabriel Crainic & Michel Gendreau & Bernard Gendron (ed.), Network Design with Applications to Transportation and Logistics, chapter 0, pages 29-89, Springer.
    2. Mervat Chouman & Teodor Gabriel Crainic, 2015. "Cutting-Plane Matheuristic for Service Network Design with Design-Balanced Requirements," Transportation Science, INFORMS, vol. 49(1), pages 99-113, February.
    3. Endong Zhu & Teodor Gabriel Crainic & Michel Gendreau, 2014. "Scheduled Service Network Design for Freight Rail Transportation," Operations Research, INFORMS, vol. 62(2), pages 383-400, April.
    4. Warren B. Powell & Yosef Sheffi, 1989. "OR Practice—Design and Implementation of an Interactive Optimization System for Network Design in the Motor Carrier Industry," Operations Research, INFORMS, vol. 37(1), pages 12-29, February.
    5. Mike Hewitt, 2019. "Enhanced Dynamic Discretization Discovery for the Continuous Time Load Plan Design Problem," Transportation Science, INFORMS, vol. 53(6), pages 1731-1750, November.
    6. Jardar Andersen & Marielle Christiansen & Teodor Gabriel Crainic & Roar Grønhaug, 2011. "Branch and Price for Service Network Design with Asset Management Constraints," Transportation Science, INFORMS, vol. 45(1), pages 33-49, February.
    7. Keely L. Croxton & Bernard Gendron & Thomas L. Magnanti, 2003. "A Comparison of Mixed-Integer Programming Models for Nonconvex Piecewise Linear Cost Minimization Problems," Management Science, INFORMS, vol. 49(9), pages 1268-1273, September.
    8. Antonio Frangioni & Bernard Gendron, 2021. "Piecewise Linear Cost Network Design," Springer Books, in: Teodor Gabriel Crainic & Michel Gendreau & Bernard Gendron (ed.), Network Design with Applications to Transportation and Logistics, chapter 0, pages 167-185, Springer.
    9. Ilke Bakir & Alan Erera & Martin Savelsbergh, 2021. "Motor Carrier Service Network Design," Springer Books, in: Teodor Gabriel Crainic & Michel Gendreau & Bernard Gendron (ed.), Network Design with Applications to Transportation and Logistics, chapter 0, pages 427-467, Springer.
    10. Mervat Chouman & Teodor Gabriel Crainic & Bernard Gendron, 2017. "Commodity Representations and Cut-Set-Based Inequalities for Multicommodity Capacitated Fixed-Charge Network Design," Transportation Science, INFORMS, vol. 51(2), pages 650-667, May.
    11. Ahmad I. Jarrah & Ellis Johnson & Lucas C. Neubert, 2009. "Large-Scale, Less-than-Truckload Service Network Design," Operations Research, INFORMS, vol. 57(3), pages 609-625, June.
    12. Teodor Gabriel Crainic & Mike Hewitt, 2021. "Service Network Design," Springer Books, in: Teodor Gabriel Crainic & Michel Gendreau & Bernard Gendron (ed.), Network Design with Applications to Transportation and Logistics, chapter 0, pages 347-382, Springer.
    13. Alan Erera & Michael Hewitt & Martin Savelsbergh & Yang Zhang, 2013. "Improved Load Plan Design Through Integer Programming Based Local Search," Transportation Science, INFORMS, vol. 47(3), pages 412-427, August.
    14. Sophie D. Lapierre & Angel B. Ruiz & Patrick Soriano, 2004. "Designing Distribution Networks: Formulations and Solution Heuristic," Transportation Science, INFORMS, vol. 38(2), pages 174-187, May.
    15. John W. Braklow & William W. Graham & Stephen M. Hassler & Ken E. Peck & Warren B. Powell, 1992. "Interactive Optimization Improves Service and Performance for Yellow Freight System," Interfaces, INFORMS, vol. 22(1), pages 147-172, February.
    16. Teodor Gabriel Crainic & Michel Gendreau, 2021. "Heuristics and Metaheuristics for Fixed-Charge Network Design," Springer Books, in: Teodor Gabriel Crainic & Michel Gendreau & Bernard Gendron (ed.), Network Design with Applications to Transportation and Logistics, chapter 0, pages 91-138, Springer.
    17. Hewitt, Mike & Crainic, Teodor Gabriel & Nowak, Maciek & Rei, Walter, 2019. "Scheduled service network design with resource acquisition and management under uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 324-343.
    18. Natashia Boland & Mike Hewitt & Luke Marshall & Martin Savelsbergh, 2017. "The Continuous-Time Service Network Design Problem," Operations Research, INFORMS, vol. 65(5), pages 1303-1321, October.
    19. Teypaz, Nicolas & Schrenk, Susann & Cung, Van-Dat, 2010. "A decomposition scheme for large-scale Service Network Design with asset management," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(1), pages 156-170, January.
    20. Natashia Boland & Mike Hewitt & Luke Marshall & Martin Savelsbergh, 2019. "The price of discretizing time: a study in service network design," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 8(2), pages 195-216, June.
    21. Teodor Gabriel Crainic & Mike Hewitt & Michel Toulouse & Duc Minh Vu, 2016. "Service Network Design with Resource Constraints," Transportation Science, INFORMS, vol. 50(4), pages 1380-1393, November.
    22. Mervat Chouman & Teodor Gabriel Crainic, 2021. "Freight Railroad Service Network Design," Springer Books, in: Teodor Gabriel Crainic & Michel Gendreau & Bernard Gendron (ed.), Network Design with Applications to Transportation and Logistics, chapter 0, pages 383-426, Springer.
    23. Crainic, Teodor Gabriel, 2000. "Service network design in freight transportation," European Journal of Operational Research, Elsevier, vol. 122(2), pages 272-288, April.
    24. Scherr, Yannick Oskar & Neumann Saavedra, Bruno Albert & Hewitt, Mike & Mattfeld, Dirk Christian, 2019. "Service network design with mixed autonomous fleets," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 124(C), pages 40-55.
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