IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v207y2010i1p152-164.html
   My bibliography  Save this article

A dual-response forwarding approach for containerizing air cargoes under uncertainty, based on stochastic mixed 0-1 programming

Author

Listed:
  • Wu, Yue

Abstract

This paper proposes a dual-response forwarding approach for renting air containers and simultaneously determining how cargoes are distributed into the containers under uncertain information. Containers have to be booked in advance to obtain a discount rental rate from airlines, as urgent requirement or cancellation of containers on the day of shipping will incur a heavy penalty. We firstly formulate a mixed 0-1 integer model to determine the booking types and quantities of containers for the deterministic problem under accurate information. We then formulate a stochastic mixed 0-1 model to structure a dual-response forwarding system for the uncertain problem where accurate information is not available when booking. The first-stage response is to determine the booking types and quantities of containers. The second-stage response is to prepare for different scenarios that might occur on the day of shipping, including the types and quantities of containers required or returned for each scenario, and also the corresponding cargo loading plan. Computational results show that the stochastic model can provide a cost-efficient, flexible and responsive cargo forwarding system.

Suggested Citation

  • Wu, Yue, 2010. "A dual-response forwarding approach for containerizing air cargoes under uncertainty, based on stochastic mixed 0-1 programming," European Journal of Operational Research, Elsevier, vol. 207(1), pages 152-164, November.
    • Handle: RePEc:eee:ejores:v:207:y:2010:i:1:p:152-164
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(10)00268-7
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Allen R. Ferguson & George B. Dantzig, 1956. "The Allocation of Aircraft to Routes--An Example of Linear Programming Under Uncertain Demand," Management Science, INFORMS, vol. 3(1), pages 45-73, October.
    2. George B. Dantzig, 1955. "Linear Programming under Uncertainty," Management Science, INFORMS, vol. 1(3-4), pages 197-206, 04-07.
    3. Bischoff, Eberhard E. & Marriott, Michael D., 1990. "A comparative evaluation of heuristics for container loading," European Journal of Operational Research, Elsevier, vol. 44(2), pages 267-276, January.
    4. Dyckhoff, Harald, 1990. "A typology of cutting and packing problems," European Journal of Operational Research, Elsevier, vol. 44(2), pages 145-159, January.
    5. M. I. Kusy & W. T. Ziemba, 1986. "A Bank Asset and Liability Management Model," Operations Research, INFORMS, vol. 34(3), pages 356-376, June.
    6. Bischoff, E. E. & Ratcliff, M. S. W., 1995. "Issues in the development of approaches to container loading," Omega, Elsevier, vol. 23(4), pages 377-390, August.
    7. A. Charnes & W. W. Cooper, 1959. "Chance-Constrained Programming," Management Science, INFORMS, vol. 6(1), pages 73-79, October.
    8. Marshall Fisher & Janice Hammond & Walter Obermeyer & Ananth Raman, 1997. "Configuring A Supply Chain To Reduce The Cost Of Demand Uncertainty," Production and Operations Management, Production and Operations Management Society, vol. 6(3), pages 211-225, September.
    9. Bortfeldt, Andreas & Gehring, Hermann, 2001. "A hybrid genetic algorithm for the container loading problem," European Journal of Operational Research, Elsevier, vol. 131(1), pages 143-161, May.
    10. Vis, Iris F. A. & de Koster, Rene, 2003. "Transshipment of containers at a container terminal: An overview," European Journal of Operational Research, Elsevier, vol. 147(1), pages 1-16, May.
    11. Davies, A. Paul & Bischoff, Eberhard E., 1999. "Weight distribution considerations in container loading," European Journal of Operational Research, Elsevier, vol. 114(3), pages 509-527, May.
    12. Santoso, Tjendera & Ahmed, Shabbir & Goetschalckx, Marc & Shapiro, Alexander, 2005. "A stochastic programming approach for supply chain network design under uncertainty," European Journal of Operational Research, Elsevier, vol. 167(1), pages 96-115, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lurkin, Virginie & Schyns, Michaël, 2015. "The Airline Container Loading Problem with pickup and delivery," European Journal of Operational Research, Elsevier, vol. 244(3), pages 955-965.
    2. Chao, Ching-Cheng & Li, Ru-Guo, 2017. "Effects of cargo types and load efficiency on airline cargo revenues," Journal of Air Transport Management, Elsevier, vol. 61(C), pages 26-33.
    3. Bombelli, Alessandro & Fazi, Stefano, 2022. "The ground handler dock capacitated pickup and delivery problem with time windows: A collaborative framework for air cargo operations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 159(C).

    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. Y Wu, 2011. "Modelling of containerized air cargo forwarding problems under uncertainty," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(7), pages 1211-1226, July.
    2. Bischoff, E.E., 2006. "Three-dimensional packing of items with limited load bearing strength," European Journal of Operational Research, Elsevier, vol. 168(3), pages 952-966, February.
    3. Bortfeldt, Andreas & Wäscher, Gerhard, 2013. "Constraints in container loading – A state-of-the-art review," European Journal of Operational Research, Elsevier, vol. 229(1), pages 1-20.
    4. Lim, Andrew & Ma, Hong & Qiu, Chaoyang & Zhu, Wenbin, 2013. "The single container loading problem with axle weight constraints," International Journal of Production Economics, Elsevier, vol. 144(1), pages 358-369.
    5. Ambrosino, Daniela & Sciomachen, Anna & Tanfani, Elena, 2004. "Stowing a containership: the master bay plan problem," Transportation Research Part A: Policy and Practice, Elsevier, vol. 38(2), pages 81-99, February.
    6. Huang, Wenqi & He, Kun, 2009. "A caving degree approach for the single container loading problem," European Journal of Operational Research, Elsevier, vol. 196(1), pages 93-101, July.
    7. Dupacova, Jitka, 2002. "Applications of stochastic programming: Achievements and questions," European Journal of Operational Research, Elsevier, vol. 140(2), pages 281-290, July.
    8. Thapatsuwan, Peeraya & Pongcharoen, Pupong & Hicks, Chris & Chainate, Warattapop, 2012. "Development of a stochastic optimisation tool for solving the multiple container packing problems," International Journal of Production Economics, Elsevier, vol. 140(2), pages 737-748.
    9. Wang, Ning & Lim, Andrew & Zhu, Wenbin, 2013. "A multi-round partial beam search approach for the single container loading problem with shipment priority," International Journal of Production Economics, Elsevier, vol. 145(2), pages 531-540.
    10. Wang, Zhoujing & Li, Kevin W. & Levy, Jason K., 2008. "A heuristic for the container loading problem: A tertiary-tree-based dynamic space decomposition approach," European Journal of Operational Research, Elsevier, vol. 191(1), pages 86-99, November.
    11. F. Parreño & R. Alvarez-Valdes & J. M. Tamarit & J. F. Oliveira, 2008. "A Maximal-Space Algorithm for the Container Loading Problem," INFORMS Journal on Computing, INFORMS, vol. 20(3), pages 412-422, August.
    12. Sheng, Liu & Hongxia, Zhao & Xisong, Dong & Changjian, Cheng, 2016. "A heuristic algorithm for container loading of pallets with infill boxes," European Journal of Operational Research, Elsevier, vol. 252(3), pages 728-736.
    13. Silva, Elsa & Ramos, António G. & Oliveira, José F., 2018. "Load balance recovery for multi-drop distribution problems: A mixed integer linear programming approach," Transportation Research Part B: Methodological, Elsevier, vol. 116(C), pages 62-75.
    14. Zhu, Wenbin & Lim, Andrew, 2012. "A new iterative-doubling Greedy–Lookahead algorithm for the single container loading problem," European Journal of Operational Research, Elsevier, vol. 222(3), pages 408-417.
    15. Araya, Ignacio & Moyano, Mauricio & Sanchez, Cristobal, 2020. "A beam search algorithm for the biobjective container loading problem," European Journal of Operational Research, Elsevier, vol. 286(2), pages 417-431.
    16. Wascher, Gerhard & Hau[ss]ner, Heike & Schumann, Holger, 2007. "An improved typology of cutting and packing problems," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1109-1130, December.
    17. Xianbo Xiang & Caoyang Yu & He Xu & Stuart X. Zhu, 2018. "Optimization of Heterogeneous Container Loading Problem with Adaptive Genetic Algorithm," Complexity, Hindawi, vol. 2018, pages 1-12, November.
    18. Galrão Ramos, A. & Oliveira, José F. & Gonçalves, José F. & Lopes, Manuel P., 2016. "A container loading algorithm with static mechanical equilibrium stability constraints," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 565-581.
    19. Lim, A. & Rodrigues, B. & Wang, Y., 2003. "A multi-faced buildup algorithm for three-dimensional packing problems," Omega, Elsevier, vol. 31(6), pages 471-481, December.
    20. Alonso, M.T. & Alvarez-Valdes, R. & Iori, M. & Parreño, F. & Tamarit, J.M., 2017. "Mathematical models for multicontainer loading problems," Omega, Elsevier, vol. 66(PA), pages 106-117.

    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:eee:ejores:v:207:y:2010:i:1:p:152-164. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    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.