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Routing and Scheduling on a Shoreline with Release Times

Author

Listed:
  • Harilaos N. Psaraftis

    (Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139)

  • Marius M. Solomon

    (Management Science Department, Northeastern University, Boston, Massachusetts 02115)

  • Thomas L. Magnanti

    (Sloan School of Management, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139)

  • Tai-Up Kim

    (Kion Technology Inc., Seoul, Republic of Korea)

Abstract

In this paper we examine computational complexity issues and develop algorithms for a class of "shoreline" single-vehicle routing and scheduling problems with release time constraints. Problems in this class are interesting for both practical and theoretical reasons. From a practical perspective, these problems arise in several transportation environments. For instance, in the routing and scheduling of cargo ships, the routing structure is "easy" because the ports to be visited are usually located along a shoreline. However, because release times of cargoes at ports generally complicate the routing structure, the combined routing and scheduling problem is nontrivial. For the straight-line case (a restriction of the shoreline case), our analysis shows that the problem of minimizing the maximum completion time can be solved exactly in quadratic time by dynamic programming. For the shoreline case we develop and analyze heuristic algorithms. We derive data-dependent worst-case performance ratios for these heuristics that are bounded by constant. We also discuss how these algorithms perform on practical data.

Suggested Citation

  • Harilaos N. Psaraftis & Marius M. Solomon & Thomas L. Magnanti & Tai-Up Kim, 1990. "Routing and Scheduling on a Shoreline with Release Times," Management Science, INFORMS, vol. 36(2), pages 212-223, February.
    • Handle: RePEc:inm:ormnsc:v:36:y:1990:i:2:p:212-223
    DOI: 10.1287/mnsc.36.2.212
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    Citations

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    Cited by:

    1. Bock, Stefan, 2020. "Optimally solving a versatile Traveling Salesman Problem on tree networks with soft due dates and multiple congestion scenarios," European Journal of Operational Research, Elsevier, vol. 283(3), pages 863-882.
    2. Nils Boysen & Dirk Briskorn & Stefan Schwerdfeger, 2023. "How to charge while driving: scheduling point-to-point deliveries of an electric vehicle under overhead wiring," Journal of Scheduling, Springer, vol. 26(1), pages 19-41, February.
    3. Yuanxiao Wu & Xiwen Lu, 0. "Improved algorithms for single vehicle scheduling on tree/cycle networks," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-16.
    4. Michael Hassoun & Shraga Shoval & Eran Simchon & Liron Yedidsion, 2020. "The single line moving target traveling salesman problem with release times," Annals of Operations Research, Springer, vol. 289(2), pages 449-458, June.
    5. Nils Boysen & Dirk Briskorn & Simon Emde, 2018. "Scheduling electric vehicles and locating charging stations on a path," Journal of Scheduling, Springer, vol. 21(1), pages 111-126, February.
    6. Patrick Jaillet & Michael R. Wagner, 2006. "Online Routing Problems: Value of Advanced Information as Improved Competitive Ratios," Transportation Science, INFORMS, vol. 40(2), pages 200-210, May.
    7. Kim, Kap Hwan & Lee, Keung Mo & Hwang, Hark, 2003. "Sequencing delivery and receiving operations for yard cranes in port container terminals," International Journal of Production Economics, Elsevier, vol. 84(3), pages 283-292, June.
    8. Srour, F.J. & Zuidwijk, R.A., 2008. "How Much is Location Information Worth? A Competitive Analysis of the Online Traveling Salesman Problem with Two Disclosure Dates," ERIM Report Series Research in Management ERS-2008-075-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    9. Wei Yu & Zhaohui Liu, 2014. "Vehicle routing problems with regular objective functions on a path," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(1), pages 34-43, February.
    10. Yuanxiao Wu & Xiwen Lu, 2021. "Improved algorithms for single vehicle scheduling on tree/cycle networks," Journal of Combinatorial Optimization, Springer, vol. 42(3), pages 565-580, October.
    11. Bock, Stefan, 2024. "Vehicle routing for connected service areas - a versatile approach covering single, hierarchical, and bi-criteria objectives," European Journal of Operational Research, Elsevier, vol. 313(3), pages 905-925.
    12. Stefan Bock, 2016. "Finding optimal tour schedules on transportation paths under extended time window constraints," Journal of Scheduling, Springer, vol. 19(5), pages 527-546, October.
    13. Hao Yan & Peihai Liu & Xiwen Lu, 2023. "Vehicle scheduling problems with two agents on a line," Journal of Combinatorial Optimization, Springer, vol. 45(1), pages 1-18, January.
    14. Zenker, Michael & Emde, Simon & Boysen, Nils, 2016. "Cyclic inventory routing in a line-shaped network," European Journal of Operational Research, Elsevier, vol. 250(1), pages 164-178.
    15. Bock, Stefan, 2015. "Solving the traveling repairman problem on a line with general processing times and deadlines," European Journal of Operational Research, Elsevier, vol. 244(3), pages 690-703.

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