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Speed optimization over a path with heterogeneous arc costs

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  • He, Qie
  • Zhang, Xiaochen
  • Nip, Kameng

Abstract

The speed optimization problem over a path aims to find a set of speeds over each arc of the given path to minimize the total cost, while respecting the time-window constraint at each node and speed limits over each arc. In maritime transportation, the cost represents fuel cost or air pollutant emissions, so study of this problem has significant economic and environmental impacts. To accommodate different fuel and emission models, we allow the dependence of the cost on the speed to be a general continuously differentiable and strictly convex function, and different across the arcs. We develop an efficient algorithm that is able to solve instances of 1000 nodes in less than a second. The algorithm is 20 to 100 times faster than a general convex optimization solver on test instances and requires much less memory. The solutions found at intermediate steps of our algorithm also provide some insights to ship planners on how to balance the operating cost and service quality.

Suggested Citation

  • He, Qie & Zhang, Xiaochen & Nip, Kameng, 2017. "Speed optimization over a path with heterogeneous arc costs," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 198-214.
    • Handle: RePEc:eee:transb:v:104:y:2017:i:c:p:198-214
    DOI: 10.1016/j.trb.2017.07.004
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    as
    1. Bektas, Tolga & Laporte, Gilbert, 2011. "The Pollution-Routing Problem," Transportation Research Part B: Methodological, Elsevier, vol. 45(8), pages 1232-1250, September.
    2. Gelareh, Shahin & Meng, Qiang, 2010. "A novel modeling approach for the fleet deployment problem within a short-term planning horizon," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(1), pages 76-89, January.
    3. Harilaos N. Psaraftis & Christos A. Kontovas, 2015. "Slow Steaming in Maritime Transportation: Fundamentals, Trade-offs, and Decision Models," International Series in Operations Research & Management Science, in: Chung-Yee Lee & Qiang Meng (ed.), Handbook of Ocean Container Transport Logistics, edition 127, chapter 11, pages 315-358, Springer.
    4. Du, Yuquan & Chen, Qiushuang & Quan, Xiongwen & Long, Lei & Fung, Richard Y.K., 2011. "Berth allocation considering fuel consumption and vessel emissions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 1021-1037.
    5. Patriksson, Michael, 2008. "A survey on the continuous nonlinear resource allocation problem," European Journal of Operational Research, Elsevier, vol. 185(1), pages 1-46, February.
    6. Wang, Shuaian & Meng, Qiang, 2012. "Liner ship route schedule design with sea contingency time and port time uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 46(5), pages 615-633.
    7. Wang, Shuaian & Wang, Xinchang, 2016. "A polynomial-time algorithm for sailing speed optimization with containership resource sharing," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 394-405.
    8. Kim-Chuan Toh & Michael J. Todd & Reha H. Tütüncü, 2012. "On the Implementation and Usage of SDPT3 – A Matlab Software Package for Semidefinite-Quadratic-Linear Programming, Version 4.0," International Series in Operations Research & Management Science, in: Miguel F. Anjos & Jean B. Lasserre (ed.), Handbook on Semidefinite, Conic and Polynomial Optimization, chapter 0, pages 715-754, Springer.
    9. Wang, Shuaian & Meng, Qiang, 2012. "Sailing speed optimization for container ships in a liner shipping network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(3), pages 701-714.
    10. Paul H. Zipkin, 1980. "Simple Ranking Methods for Allocation of One Resource," Management Science, INFORMS, vol. 26(1), pages 34-43, January.
    11. Tolga Bektaş & Emrah Demir & Gilbert Laporte, 2016. "Green Vehicle Routing," International Series in Operations Research & Management Science, in: Harilaos N. Psaraftis (ed.), Green Transportation Logistics, edition 127, chapter 0, pages 243-265, Springer.
    12. Fukasawa, Ricardo & He, Qie & Song, Yongjia, 2016. "A disjunctive convex programming approach to the pollution-routing problem," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 61-79.
    13. Meng, Qiang & Wang, Shuaian, 2011. "Optimal operating strategy for a long-haul liner service route," European Journal of Operational Research, Elsevier, vol. 215(1), pages 105-114, November.
    14. Jun Xia & Kevin X. Li & Hong Ma & Zhou Xu, 2015. "Joint Planning of Fleet Deployment, Speed Optimization, and Cargo Allocation for Liner Shipping," Transportation Science, INFORMS, vol. 49(4), pages 922-938, November.
    15. Kramer, Raphael & Maculan, Nelson & Subramanian, Anand & Vidal, Thibaut, 2015. "A speed and departure time optimization algorithm for the pollution-routing problem," European Journal of Operational Research, Elsevier, vol. 247(3), pages 782-787.
    16. Kramer, Raphael & Subramanian, Anand & Vidal, Thibaut & Cabral, Lucídio dos Anjos F., 2015. "A matheuristic approach for the Pollution-Routing Problem," European Journal of Operational Research, Elsevier, vol. 243(2), pages 523-539.
    17. Wang, Shuaian & Meng, Qiang & Liu, Zhiyuan, 2013. "Bunker consumption optimization methods in shipping: A critical review and extensions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 53(C), pages 49-62.
    18. Theo E Notteboom, 2006. "The Time Factor in Liner Shipping Services," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 8(1), pages 19-39, March.
    19. K Fagerholt & G Laporte & I Norstad, 2010. "Reducing fuel emissions by optimizing speed on shipping routes," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(3), pages 523-529, March.
    20. Christos Kontovas & Harilaos N. Psaraftis, 2011. "Reduction of emissions along the maritime intermodal container chain: operational models and policies," Maritime Policy & Management, Taylor & Francis Journals, vol. 38(4), pages 451-469, March.
    21. Demir, Emrah & Bektaş, Tolga & Laporte, Gilbert, 2012. "An adaptive large neighborhood search heuristic for the Pollution-Routing Problem," European Journal of Operational Research, Elsevier, vol. 223(2), pages 346-359.
    22. Michael Francis Gorman, 1998. "An application of genetic and tabu searches to the freight railroad operating plan problem," Annals of Operations Research, Springer, vol. 78(0), pages 51-69, January.
    23. D Ronen, 2011. "The effect of oil price on containership speed and fleet size," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(1), pages 211-216, January.
    24. Notteboom, Theo E. & Vernimmen, Bert, 2009. "The effect of high fuel costs on liner service configuration in container shipping," Journal of Transport Geography, Elsevier, vol. 17(5), pages 325-337.
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