IDEAS home Printed from https://ideas.repec.org/a/spr/jcomop/v30y2015i2d10.1007_s10878-014-9751-z.html
   My bibliography  Save this article

Robust optimization for the hazardous materials transportation network design problem

Author

Listed:
  • Chunlin Xin

    (Beijing University of Chemical Technology)

  • Letu Qingge

    (Beijing University of Chemical Technology)

  • Jiamin Wang

    (Long Island University)

  • Binhai Zhu

    (Montana State University)

Abstract

In this paper, we reconsider the hazardous materials transportation network design problem with uncertain edge risk (HTNDPUR) which is proved as strong NP-hard. The natural ways to handle NP-hard problems are approximation solutions or FPT algorithms. We prove that the HTNDPUR does not admit any approximation, neither any FPT algorithm, unless P = NP. Furthermore, we utilize the minimax regret criterion to model the HTNDPUR as a bi-level integer programming formulation under edge risk uncertainty, where an interval of possible risk values is associated with each arc. We present a robust heuristic approach that always finds a robust and stable hazmat transportation network. At the end, we test our method on a network of Guangdong province in China to illustrate the efficiency of the algorithm. Our experimental results illustrate that the robust interval risk scenario network performs better than the deterministic scenario network.

Suggested Citation

  • Chunlin Xin & Letu Qingge & Jiamin Wang & Binhai Zhu, 2015. "Robust optimization for the hazardous materials transportation network design problem," Journal of Combinatorial Optimization, Springer, vol. 30(2), pages 320-334, August.
    • Handle: RePEc:spr:jcomop:v:30:y:2015:i:2:d:10.1007_s10878-014-9751-z
    DOI: 10.1007/s10878-014-9751-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10878-014-9751-z
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10878-014-9751-z?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
    ---><---

    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. Erhan Erkut & Vedat Verter, 1998. "Modeling of Transport Risk for Hazardous Materials," Operations Research, INFORMS, vol. 46(5), pages 625-642, October.
    2. Benoît Colson & Patrice Marcotte & Gilles Savard, 2007. "An overview of bilevel optimization," Annals of Operations Research, Springer, vol. 153(1), pages 235-256, September.
    3. Dimitris Bertsimas & Melvyn Sim, 2004. "The Price of Robustness," Operations Research, INFORMS, vol. 52(1), pages 35-53, February.
    4. Zielinski, Pawel, 2004. "The computational complexity of the relative robust shortest path problem with interval data," European Journal of Operational Research, Elsevier, vol. 158(3), pages 570-576, November.
    5. Vedat Verter & Bahar Y. Kara, 2008. "A Path-Based Approach for Hazmat Transport Network Design," Management Science, INFORMS, vol. 54(1), pages 29-40, January.
    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. Zohreh Hosseini Nodeh & Ali Babapour Azar & Rashed Khanjani Shiraz & Salman Khodayifar & Panos M. Pardalos, 2020. "Joint chance constrained shortest path problem with Copula theory," Journal of Combinatorial Optimization, Springer, vol. 40(1), pages 110-140, July.
    2. Beck, Yasmine & Ljubić, Ivana & Schmidt, Martin, 2023. "A survey on bilevel optimization under uncertainty," European Journal of Operational Research, Elsevier, vol. 311(2), pages 401-426.
    3. M. Hosein Zare & Osman Y. Özaltın & Oleg A. Prokopyev, 2018. "On a class of bilevel linear mixed-integer programs in adversarial settings," Journal of Global Optimization, Springer, vol. 71(1), pages 91-113, May.
    4. Peng Zou & Letu Qingge & Qing Yang & Binhai Zhu, 2022. "Computing a consensus trajectory in a vehicular network," Journal of Combinatorial Optimization, Springer, vol. 44(5), pages 3575-3594, December.
    5. Yan Sun & Xinya Li & Xia Liang & Cevin Zhang, 2019. "A Bi-Objective Fuzzy Credibilistic Chance-Constrained Programming Approach for the Hazardous Materials Road-Rail Multimodal Routing Problem under Uncertainty and Sustainability," Sustainability, MDPI, vol. 11(9), pages 1-27, May.
    6. Mohammadi, Mehrdad & Jula, Payman & Tavakkoli-Moghaddam, Reza, 2017. "Design of a reliable multi-modal multi-commodity model for hazardous materials transportation under uncertainty," European Journal of Operational Research, Elsevier, vol. 257(3), pages 792-809.

    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. Szeto, W.Y. & Farahani, R.Z. & Sumalee, Agachai, 2017. "Link-based multi-class hazmat routing-scheduling problem: A multiple demon approach," European Journal of Operational Research, Elsevier, vol. 261(1), pages 337-354.
    2. Christoph Buchheim & Dorothee Henke, 2022. "The robust bilevel continuous knapsack problem with uncertain coefficients in the follower’s objective," Journal of Global Optimization, Springer, vol. 83(4), pages 803-824, August.
    3. Fontaine, Pirmin & Minner, Stefan, 2018. "Benders decomposition for the Hazmat Transport Network Design Problem," European Journal of Operational Research, Elsevier, vol. 267(3), pages 996-1002.
    4. Fang, Kan & Ke, Ginger Y. & Verma, Manish, 2017. "A routing and scheduling approach to rail transportation of hazardous materials with demand due dates," European Journal of Operational Research, Elsevier, vol. 261(1), pages 154-168.
    5. Fontaine, Pirmin & Crainic, Teodor Gabriel & Gendreau, Michel & Minner, Stefan, 2020. "Population-based risk equilibration for the multimode hazmat transport network design problem," European Journal of Operational Research, Elsevier, vol. 284(1), pages 188-200.
    6. Iliopoulou, Christina & Kepaptsoglou, Konstantinos & Schinas, Orestis, 2018. "Energy supply security for the Aegean islands: A routing model with risk and environmental considerations," Energy Policy, Elsevier, vol. 113(C), pages 608-620.
    7. Rongrong Li & Yee Leung, 2011. "Multi-objective route planning for dangerous goods using compromise programming," Journal of Geographical Systems, Springer, vol. 13(3), pages 249-271, September.
    8. M. Hosein Zare & Oleg A. Prokopyev & Denis Sauré, 2020. "On Bilevel Optimization with Inexact Follower," Decision Analysis, INFORMS, vol. 17(1), pages 74-95, March.
    9. Bronfman, Andrés & Marianov, Vladimir & Paredes-Belmar, Germán & Lüer-Villagra, Armin, 2016. "The maxisum and maximin-maxisum HAZMAT routing problems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 93(C), pages 316-333.
    10. Marc Goerigk & Marie Schmidt & Anita Schöbel & Martin Knoth & Matthias Müller-Hannemann, 2014. "The Price of Strict and Light Robustness in Timetable Information," Transportation Science, INFORMS, vol. 48(2), pages 225-242, May.
    11. Jianwen Ren & Yingqiang Xu & Shiyuan Wang, 2018. "A Distributed Robust Dispatch Approach for Interconnected Systems with a High Proportion of Wind Power Penetration," Energies, MDPI, vol. 11(4), pages 1-18, April.
    12. Wenqing Chen & Melvyn Sim & Jie Sun & Chung-Piaw Teo, 2010. "From CVaR to Uncertainty Set: Implications in Joint Chance-Constrained Optimization," Operations Research, INFORMS, vol. 58(2), pages 470-485, April.
    13. Stefan Mišković, 2017. "A VNS-LP algorithm for the robust dynamic maximal covering location problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(4), pages 1011-1033, October.
    14. Andreas Lanz & Gregor Reich & Ole Wilms, 2022. "Adaptive grids for the estimation of dynamic models," Quantitative Marketing and Economics (QME), Springer, vol. 20(2), pages 179-238, June.
    15. Shi, Yi & Deng, Yawen & Wang, Guoan & Xu, Jiuping, 2020. "Stackelberg equilibrium-based eco-economic approach for sustainable development of kitchen waste disposal with subsidy policy: A case study from China," Energy, Elsevier, vol. 196(C).
    16. Sarhadi, Hassan & Naoum-Sawaya, Joe & Verma, Manish, 2020. "A robust optimization approach to locating and stockpiling marine oil-spill response facilities," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 141(C).
    17. Li, Shukai & Liu, Ronghui & Yang, Lixing & Gao, Ziyou, 2019. "Robust dynamic bus controls considering delay disturbances and passenger demand uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 123(C), pages 88-109.
    18. Chassein, André & Dokka, Trivikram & Goerigk, Marc, 2019. "Algorithms and uncertainty sets for data-driven robust shortest path problems," European Journal of Operational Research, Elsevier, vol. 274(2), pages 671-686.
    19. Lucio Bianco & Massimiliano Caramia & Stefano Giordani & Veronica Piccialli, 2016. "A Game-Theoretic Approach for Regulating Hazmat Transportation," Transportation Science, INFORMS, vol. 50(2), pages 424-438, May.
    20. Kandpal, Bakul & Pareek, Parikshit & Verma, Ashu, 2022. "A robust day-ahead scheduling strategy for EV charging stations in unbalanced distribution grid," Energy, Elsevier, vol. 249(C).

    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:spr:jcomop:v:30:y:2015:i:2:d:10.1007_s10878-014-9751-z. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.