IDEAS home Printed from https://ideas.repec.org/a/inm/ortrsc/v33y1999i1p3-16.html
   My bibliography  Save this article

Decomposition of a Combined Inventory and Time Constrained Ship Routing Problem

Author

Listed:
  • Marielle Christiansen

    (Section of Managerial Economics and Operations Research, Norwegian University of Science and Technology, N-7034 Trondheim, Norway)

Abstract

In contrast to vehicle routing problems, little work has been done in ship routing and scheduling, although large benefits may be expected from improving this scheduling process. We will present a real ship planning problem, which is a combined inventory management problem and a routing problem with time windows. A fleet of ships transports a single product (ammonia) between production and consumption harbors. The quantities loaded and discharged are determined by the production rates of the harbors, possible stock levels, and the actual ship visiting the harbor. We describe the real problem and the underlying mathematical model. To decompose this model, we discuss some model adjustments. Then, the problem can be solved by a Dantzig–Wolfe decomposition approach including both ship routing subproblems and inventory management subproblems. The overall problem is solved by branch-and-bound. Our computational results indicate that the proposed method works for the real planning problem.

Suggested Citation

  • Marielle Christiansen, 1999. "Decomposition of a Combined Inventory and Time Constrained Ship Routing Problem," Transportation Science, INFORMS, vol. 33(1), pages 3-16, February.
    • Handle: RePEc:inm:ortrsc:v:33:y:1999:i:1:p:3-16
    DOI: 10.1287/trsc.33.1.3
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/trsc.33.1.3
    Download Restriction: no
    File URL: https://libkey.io/10.1287/trsc.33.1.3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Marielle Christiansen & Bjorn Nygreen, 1998. "A method for solving ship routing problemswith inventory constraints," Annals of Operations Research, Springer, vol. 81(0), pages 357-378, June.
    2. Krishan Rana & R. G. Vickson, 1988. "A Model and Solution Algorithm for Optimal Routing of a Time-Chartered Containership," Transportation Science, INFORMS, vol. 22(2), pages 83-95, May.
    3. Krishan Rana & R. G. Vickson, 1991. "Routing Container Ships Using Lagrangean Relaxation and Decomposition," Transportation Science, INFORMS, vol. 25(3), pages 201-214, August.
    4. Martin Desrochers & Jacques Desrosiers & Marius Solomon, 1992. "A New Optimization Algorithm for the Vehicle Routing Problem with Time Windows," Operations Research, INFORMS, vol. 40(2), pages 342-354, April.
    5. Marshall L. Fisher & Moshe B. Rosenwein, 1989. "An interactive optimization system for bulk‐cargo ship scheduling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(1), pages 27-42, February.
    6. Leif H. Appelgren, 1969. "A Column Generation Algorithm for a Ship Scheduling Problem," Transportation Science, INFORMS, vol. 3(1), pages 53-68, February.
    7. Glenn W. Graves & Richard D. McBride & Ira Gershkoff & Diane Anderson & Deepa Mahidhara, 1993. "Flight Crew Scheduling," Management Science, INFORMS, vol. 39(6), pages 736-745, June.
    8. David Ronen, 1986. "Short-Term Scheduling of Vessels for Shipping Bulk or Semi-Bulk Commodities Originating in a Single Area," Operations Research, INFORMS, vol. 34(1), pages 164-173, February.
    9. Richard C. Larson, 1988. "Transporting Sludge to the 106-Mile Site: An Inventory/Routing Model for Fleet Sizing and Logistics System Design," Transportation Science, INFORMS, vol. 22(3), pages 186-198, August.
    10. Marielle Christiansen & Bjørn Nygreen, 1998. "Modelling path flows for a combined ship routingand inventory management problem," Annals of Operations Research, Springer, vol. 82(0), pages 391-413, August.
    11. Nikiforos A. Papadakis & Anastassios N. Perakis, 1989. "A nonlinear approach to the multiorigin, multidestination fleet deployment problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(4), pages 515-528, August.
    12. Niklas Kohl & Oli B. G. Madsen, 1997. "An Optimization Algorithm for the Vehicle Routing Problem with Time Windows Based on Lagrangian Relaxation," Operations Research, INFORMS, vol. 45(3), pages 395-406, June.
    13. Marshall L. Fisher & Kurt O. Jörnsten & Oli B. G. Madsen, 1997. "Vehicle Routing with Time Windows: Two Optimization Algorithms," Operations Research, INFORMS, vol. 45(3), pages 488-492, June.
    14. Gerald G. Brown & Glenn W. Graves & David Ronen, 1987. "Scheduling Ocean Transportation of Crude Oil," Management Science, INFORMS, vol. 33(3), pages 335-346, March.
    15. Leif H. Appelgren, 1971. "Integer Programming Methods for a Vessel Scheduling Problem," Transportation Science, INFORMS, vol. 5(1), pages 64-78, February.
    16. Miller, David M., 1987. "An interactive, computer-aided ship scheduling system," European Journal of Operational Research, Elsevier, vol. 32(3), pages 363-379, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Marielle Christiansen & Kjetil Fagerholt & David Ronen, 2004. "Ship Routing and Scheduling: Status and Perspectives," Transportation Science, INFORMS, vol. 38(1), pages 1-18, February.
    2. Al-Khayyal, Faiz & Hwang, Seung-June, 2007. "Inventory constrained maritime routing and scheduling for multi-commodity liquid bulk, Part I: Applications and model," European Journal of Operational Research, Elsevier, vol. 176(1), pages 106-130, January.
    3. Shih, Li-Hsing, 1997. "Planning of fuel coal imports using a mixed integer programming method," International Journal of Production Economics, Elsevier, vol. 51(3), pages 243-249, September.
    4. Lin, Dung-Ying & Tsai, Yu-Yun, 2014. "The ship routing and freight assignment problem for daily frequency operation of maritime liner shipping," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 67(C), pages 52-70.
    5. Lin, Dung-Ying & Chang, Yu-Ting, 2018. "Ship routing and freight assignment problem for liner shipping: Application to the Northern Sea Route planning problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 110(C), pages 47-70.
    6. Roar Grønhaug & Marielle Christiansen & Guy Desaulniers & Jacques Desrosiers, 2010. "A Branch-and-Price Method for a Liquefied Natural Gas Inventory Routing Problem," Transportation Science, INFORMS, vol. 44(3), pages 400-415, August.
    7. 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.
    8. Ricardo Gatica & Pablo Miranda, 2011. "Special Issue on Latin-American Research: A Time Based Discretization Approach for Ship Routing and Scheduling with Variable Speed," Networks and Spatial Economics, Springer, vol. 11(3), pages 465-485, September.
    9. Liu, Fuh-Hwa Franklin & Shen, Sheng-Yuan, 1999. "A route-neighborhood-based metaheuristic for vehicle routing problem with time windows," European Journal of Operational Research, Elsevier, vol. 118(3), pages 485-504, November.
    10. Yao, Yu & Zhu, Xiaoning & Dong, Hongyu & Wu, Shengnan & Wu, Hailong & Carol Tong, Lu & Zhou, Xuesong, 2019. "ADMM-based problem decomposition scheme for vehicle routing problem with time windows," Transportation Research Part B: Methodological, Elsevier, vol. 129(C), pages 156-174.
    11. Claudio Gambella & Joe Naoum-Sawaya & Bissan Ghaddar, 2018. "The Vehicle Routing Problem with Floating Targets: Formulation and Solution Approaches," INFORMS Journal on Computing, INFORMS, vol. 30(3), pages 554-569, August.
    12. Russell, Robert A. & Chiang, Wen-Chyuan, 2006. "Scatter search for the vehicle routing problem with time windows," European Journal of Operational Research, Elsevier, vol. 169(2), pages 606-622, March.
    13. Vicky Mak & Andreas Ernst, 2007. "New cutting-planes for the time- and/or precedence-constrained ATSP and directed VRP," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 66(1), pages 69-98, August.
    14. Lee, C.Y. & Cetinkaya, S. & Wagelmans, A.P.M., 1999. "A dynamic lot-sizing model with demand time windows," Econometric Institute Research Papers EI 9948-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    15. Bilgen, Bilge & Ozkarahan, Irem, 2007. "A mixed-integer linear programming model for bulk grain blending and shipping," International Journal of Production Economics, Elsevier, vol. 107(2), pages 555-571, June.
    16. Li, Haibing & Lim, Andrew, 2003. "Local search with annealing-like restarts to solve the VRPTW," European Journal of Operational Research, Elsevier, vol. 150(1), pages 115-127, October.
    17. Brønmo, Geir & Nygreen, Bjørn & Lysgaard, Jens, 2010. "Column generation approaches to ship scheduling with flexible cargo sizes," European Journal of Operational Research, Elsevier, vol. 200(1), pages 139-150, January.
    18. Qiang Meng & Tingsong Wang, 2010. "A chance constrained programming model for short-term liner ship fleet planning problems," Maritime Policy & Management, Taylor & Francis Journals, vol. 37(4), pages 329-346, July.
    19. Said El Noshokaty, 2017. "Shipping Optimisation Systems (SOS): tramp optimisation perspective," Journal of Shipping and Trade, Springer, vol. 2(1), pages 1-36, December.
    20. Vis, Iris F.A., 2006. "Survey of research in the design and control of automated guided vehicle systems," European Journal of Operational Research, Elsevier, vol. 170(3), pages 677-709, May.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:ortrsc:v:33:y:1999:i:1:p:3-16. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.