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The lockmaster’s problem

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  • Passchyn, Ward
  • Coene, Sofie
  • Briskorn, Dirk
  • Hurink, Johann L.
  • Spieksma, Frits C.R.
  • Vanden Berghe, Greet

Abstract

Inland waterways form a natural network infrastructure with capacity for more traffic. Transportation by ship is widely promoted as it is a reliable, efficient and environmental friendly way of transport. Nevertheless, locks managing the water level on waterways and within harbors sometimes constitute bottlenecks for transportation over water. The lockmaster’s problem concerns the optimal strategy for operating such a lock. In the lockmaster’s problem we are given a lock, a set of upstream-bound ships and another set of ships traveling in the opposite direction. We are given the arrival times of the ships and a constant lockage time; the goal is to minimize total waiting time of the ships. In this paper, a dynamic programming algorithm is proposed that solves the lockmaster’s problem in polynomial time. This algorithm can also be used to solve a single batching machine scheduling problem more efficiently than the current algorithms from the literature do. We extend the algorithm such that it can be applied in realistic settings, taking into account capacity, ship-dependent handling times, weights and water usage. In addition, we compare the performance of this new exact algorithm with the performance of some (straightforward) heuristics in a computational study.

Suggested Citation

  • Passchyn, Ward & Coene, Sofie & Briskorn, Dirk & Hurink, Johann L. & Spieksma, Frits C.R. & Vanden Berghe, Greet, 2016. "The lockmaster’s problem," European Journal of Operational Research, Elsevier, vol. 251(2), pages 432-441.
    • Handle: RePEc:eee:ejores:v:251:y:2016:i:2:p:432-441
    DOI: 10.1016/j.ejor.2015.12.007
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    1. Verstichel, J. & De Causmaecker, P. & Spieksma, F.C.R. & Vanden Berghe, G., 2014. "Exact and heuristic methods for placing ships in locks," European Journal of Operational Research, Elsevier, vol. 235(2), pages 387-398.
    2. Albert Wagelmans & Stan van Hoesel & Antoon Kolen, 1992. "Economic Lot Sizing: An O(n log n) Algorithm That Runs in Linear Time in the Wagner-Whitin Case," Operations Research, INFORMS, vol. 40(1-supplem), pages 145-156, February.
    3. E. R. Petersen & A. J. Taylor, 1988. "An Optimal Scheduling System for the Welland Canal," Transportation Science, INFORMS, vol. 22(3), pages 173-185, August.
    4. L D Smith & D C Sweeney & J F Campbell, 2009. "Simulation of alternative approaches to relieving congestion at locks in a river transportion system," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(4), pages 519-533, April.
    5. Chung-Yee Lee & Reha Uzsoy & Louis A. Martin-Vega, 1992. "Efficient Algorithms for Scheduling Semiconductor Burn-In Operations," Operations Research, INFORMS, vol. 40(4), pages 764-775, August.
    6. Nauss, Robert M., 2008. "Optimal sequencing in the presence of setup times for tow/barge traffic through a river lock," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1268-1281, June.
    7. Douglas Smith, L. & Nauss, Robert M. & Mattfeld, Dirk Christian & Li, Jian & Ehmke, Jan F. & Reindl, M., 2011. "Scheduling operations at system choke points with sequence-dependent delays and processing times," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(5), pages 669-680, September.
    8. [multiple or corporate authorship]., 2014. "CASE annual report 2013," LSE Research Online Documents on Economics 58040, London School of Economics and Political Science, LSE Library.
    9. Mourad Boudhar, 2003. "Scheduling a batch processing machine with bipartite compatibility graphs," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 57(3), pages 513-527, August.
    10. Philippe Baptiste, 2000. "Batching identical jobs," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 52(3), pages 355-367, December.
    11. CGIAR Research Program on Agriculture for Nutrition and Health (A4NH), 2014. "A4NH 2013 annual report," Annual reports 2014a4nh, International Food Policy Research Institute (IFPRI).
    12. Awi Federgruen & Michal Tzur, 1991. "A Simple Forward Algorithm to Solve General Dynamic Lot Sizing Models with n Periods in 0(n log n) or 0(n) Time," Management Science, INFORMS, vol. 37(8), pages 909-925, August.
    13. Alok Aggarwal & James K. Park, 1993. "Improved Algorithms for Economic Lot Size Problems," Operations Research, INFORMS, vol. 41(3), pages 549-571, June.
    14. Potts, Chris N. & Kovalyov, Mikhail Y., 2000. "Scheduling with batching: A review," European Journal of Operational Research, Elsevier, vol. 120(2), pages 228-249, January.
    15. Scott Webster & Kenneth R. Baker, 1995. "Scheduling Groups of Jobs on a Single Machine," Operations Research, INFORMS, vol. 43(4), pages 692-703, August.
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