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Nested column generation applied to the crude oil tanker routing and scheduling problem with split pickup and split delivery

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  • Frank Hennig
  • Bjørn Nygreen
  • Marco E. Lübbecke

Abstract

The split pickup split delivery crude oil tanker routing and scheduling problem is a difficult combinatorial optimization problem, both theoretically and practically. However, because of the large expenses in crude oil shipping it is attractive to make use of optimization that exploits as many degrees of freedom as possible to save transportation cost. We propose a nested column generation algorithm for this particular split pickup split delivery problem which bears several complexities such as a heterogeneous fleet, multiple commodities, many‐to‐many relations for pickup and delivery of each commodity, sequence dependent vehicle capacities, and cargo quantity dependent pickup and delivery times. Our approach builds on a branch‐and‐price algorithm in which the column generation subproblems are solved by branch‐and‐price themselves. We describe our implementation in the branch‐cut‐and‐price framework SCIP and give computational results for realistic test instances. The high quality schedules we obtain for these instances improve on those in previous studies. © 2012 Wiley Periodicals, Inc. Naval Research Logistics, 2012

Suggested Citation

  • Frank Hennig & Bjørn Nygreen & Marco E. Lübbecke, 2012. "Nested column generation applied to the crude oil tanker routing and scheduling problem with split pickup and split delivery," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(3‐4), pages 298-310, April.
    • Handle: RePEc:wly:navres:v:59:y:2012:i:3-4:p:298-310
    DOI: 10.1002/nav.21489
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    References listed on IDEAS

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    1. Hennig, F. & Nygreen, B. & Christiansen, M. & Fagerholt, K. & Furman, K.C. & Song, J. & Kocis, G.R. & Warrick, P.H., 2012. "Maritime crude oil transportation – A split pickup and split delivery problem," European Journal of Operational Research, Elsevier, vol. 218(3), pages 764-774.
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    2. Li, Feng & Yang, Dong & Wang, Shuaian & Weng, Jinxian, 2019. "Ship routing and scheduling problem for steel plants cluster alongside the Yangtze River," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 122(C), pages 198-210.
    3. Zhixing Luo & Hu Qin & Wenbin Zhu & Andrew Lim, 2016. "Branch‐and‐price‐and‐cut for the manpower routing problem with synchronization constraints," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(2), pages 138-171, March.
    4. Dan Zhuge & Shuaian Wang & Lu Zhen & Gilbert Laporte, 2020. "Schedule design for liner services under vessel speed reduction incentive programs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 67(1), pages 45-62, February.
    5. Tilk, Christian & Drexl, Michael & Irnich, Stefan, 2019. "Nested branch-and-price-and-cut for vehicle routing problems with multiple resource interdependencies," European Journal of Operational Research, Elsevier, vol. 276(2), pages 549-565.
    6. Carolin Bauerhenne & Jonathan Bard & Rainer Kolisch, 2024. "Robust Routing and Scheduling of Home Healthcare Workers: A Nested Branch-and-Price Approach," Papers 2407.06215, arXiv.org.

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