IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i12p2109-d451202.html
   My bibliography  Save this article

Transportation Optimization Models for Intermodal Networks with Fuzzy Node Capacity, Detour Factor, and Vehicle Utilization Constraints

Author

Listed:
  • Chia-Nan Wang

    (Department of Industrial Engineering and Management, National Kaohsiung University of Science and Technology, Kaohsiung 80778, Taiwan)

  • Thanh-Tuan Dang

    (Department of Industrial Engineering and Management, National Kaohsiung University of Science and Technology, Kaohsiung 80778, Taiwan
    Department of Logistics and Supply Chain Management, Hong Bang International University, Ho Chi Minh 723000, Vietnam)

  • Tran Quynh Le

    (School of Manufacturing Systems and Mechanical Engineering, Sirindhorn International Institute of Technology, Thammasat University, Pathum Thani 12121, Thailand)

  • Panitan Kewcharoenwong

    (School of Manufacturing Systems and Mechanical Engineering, Sirindhorn International Institute of Technology, Thammasat University, Pathum Thani 12121, Thailand)

Abstract

This paper develops a mathematical model for intermodal freight transportation. It focuses on determining the flow of goods, the number of vehicles, and the transferred volume of goods transported from origin points to destination points. The model of this article is to minimize the total cost, which consists of fixed costs, transportation costs, intermodal transfer costs, and CO 2 emission costs. It presents a mixed integer linear programming (MILP) model that minimizes total costs, and a fuzzy mixed integer linear programming (FMILP) model that minimizes imprecise total costs under conditions of uncertain data. In the models, node capacity, detour, and vehicle utilization are incorporated to estimate the performance impact. Additionally, a computational experiment is carried out to evaluate the impact of each constraint and to analyze the characteristics of the models under different scenarios. Developed models are tested using real data from a case study in Southern Vietnam in order to demonstrate their effectiveness. The results indicate that, although the objective function (total cost) increased by 20%, the problem became more realistic to address when the model was utilized to solve the constraints of node capacity, detour, and vehicle utilization. In addition, on the basis of the FMILP model, fuzziness is considered in order to investigate the impact of uncertainty in important model parameters. The optimal robust solution shows that the total cost of the FMILP model is enhanced by 4% compared with the total cost of the deterministic model. Another key measurement related to the achievement of global sustainable development goals is considered, reducing the additional intermodal transfer cost and the cost of CO 2 emissions in the objective function.

Suggested Citation

  • Chia-Nan Wang & Thanh-Tuan Dang & Tran Quynh Le & Panitan Kewcharoenwong, 2020. "Transportation Optimization Models for Intermodal Networks with Fuzzy Node Capacity, Detour Factor, and Vehicle Utilization Constraints," Mathematics, MDPI, vol. 8(12), pages 1-27, November.
  • Handle: RePEc:gam:jmathe:v:8:y:2020:i:12:p:2109-:d:451202
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/12/2109/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/8/12/2109/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. Rodríguez, V. & Alvarez, M.J. & Barcos, L., 2007. "Hub location under capacity constraints," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(5), pages 495-505, September.
    3. Limbourg, S. & Jourquin, B., 2009. "Optimal rail-road container terminal locations on the European network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(4), pages 551-563, July.
    4. Frémont, Antoine & Franc, Pierre, 2010. "Hinterland transportation in Europe: Combined transport versus road transport," Journal of Transport Geography, Elsevier, vol. 18(4), pages 548-556.
    5. Goetschalckx, Marc & Jacobs-Blecha, Charlotte, 1989. "The vehicle routing problem with backhauls," European Journal of Operational Research, Elsevier, vol. 42(1), pages 39-51, September.
    6. Antoine Frémont & Pierre Franc, 2010. "Hinterland transportation in Europe: Combined transport versus road transport," Post-Print hal-00542346, HAL.
    7. Resat, Hamdi G. & Turkay, Metin, 2015. "Design and operation of intermodal transportation network in the Marmara region of Turkey," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 83(C), pages 16-33.
    8. Ghane-Ezabadi, Mohammad & Vergara, Hector A., 2016. "Decomposition approach for integrated intermodal logistics network design," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 89(C), pages 53-69.
    9. Wang, Reay-Chen & Liang, Tien-Fu, 2005. "Applying possibilistic linear programming to aggregate production planning," International Journal of Production Economics, Elsevier, vol. 98(3), pages 328-341, December.
    10. Linda Styhre, 2009. "Strategies for capacity utilisation in short sea shipping," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 11(4), pages 418-437, December.
    11. Liu, Shiang-Tai & Kao, Chiang, 2004. "Solving fuzzy transportation problems based on extension principle," European Journal of Operational Research, Elsevier, vol. 153(3), pages 661-674, March.
    12. Macharis, C. & Bontekoning, Y. M., 2004. "Opportunities for OR in intermodal freight transport research: A review," European Journal of Operational Research, Elsevier, vol. 153(2), pages 400-416, March.
    13. Crainic, Teodor Gabriel, 2000. "Service network design in freight transportation," European Journal of Operational Research, Elsevier, vol. 122(2), pages 272-288, April.
    14. Halit Üster & Panitan Kewcharoenwong, 2011. "Strategic Design and Analysis of a Relay Network in Truckload Transportation," Transportation Science, INFORMS, vol. 45(4), pages 505-523, November.
    15. Demir, Emrah & Burgholzer, Wolfgang & Hrušovský, Martin & Arıkan, Emel & Jammernegg, Werner & Woensel, Tom Van, 2016. "A green intermodal service network design problem with travel time uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 93(PB), pages 789-807.
    16. Ballou, Ronald H. & Rahardja, Handoko & Sakai, Noriaki, 2002. "Selected country circuity factors for road travel distance estimation," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(9), pages 843-848, 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. Bürstlein, Johanna & López, David & Farooq, Bilal, 2021. "Exploring first-mile on-demand transit solutions for North American suburbia: A case study of Markham, Canada," Transportation Research Part A: Policy and Practice, Elsevier, vol. 153(C), pages 261-283.
    2. Igor Kabashkin, 2023. "Model of Multi Criteria Decision-Making for Selection of Transportation Alternatives on the Base of Transport Needs Hierarchy Framework and Application of Petri Net," Sustainability, MDPI, vol. 15(16), pages 1-26, August.

    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. Archetti, Claudia & Peirano, Lorenzo & Speranza, M. Grazia, 2022. "Optimization in multimodal freight transportation problems: A Survey," European Journal of Operational Research, Elsevier, vol. 299(1), pages 1-20.
    2. Qian Dai & Jiaqi Yang & Dong Li, 2018. "Modeling a Three-Mode Hybrid Port-Hinterland Freight Intermodal Distribution Network with Environmental Consideration: The Case of the Yangtze River Economic Belt in China," Sustainability, MDPI, vol. 10(9), pages 1-26, August.
    3. Bilegan, Ioana C. & Crainic, Teodor Gabriel & Wang, Yunfei, 2022. "Scheduled service network design with revenue management considerations and an intermodal barge transportation illustration," European Journal of Operational Research, Elsevier, vol. 300(1), pages 164-177.
    4. Yi-Kuei Lin & Cheng-Fu Huang & Yi-Chieh Liao, 2019. "Reliability of a stochastic intermodal logistics network under spoilage and time considerations," Annals of Operations Research, Springer, vol. 277(1), pages 95-118, June.
    5. Panagiotis Ypsilantis & Rob Zuidwijk, 2019. "Collaborative Fleet Deployment and Routing for Sustainable Transport," Sustainability, MDPI, vol. 11(20), pages 1-26, October.
    6. Ishfaq, Rafay & Sox, Charles R., 2011. "Hub location-allocation in intermodal logistic networks," European Journal of Operational Research, Elsevier, vol. 210(2), pages 213-230, April.
    7. Thibault Delbart & Yves Molenbruch & Kris Braekers & An Caris, 2021. "Uncertainty in Intermodal and Synchromodal Transport: Review and Future Research Directions," Sustainability, MDPI, vol. 13(7), pages 1-25, April.
    8. Fan Bu & Heather Nachtmann, 2023. "Literature review and comparative analysis of inland waterways transport: “Container on Barge”," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 25(1), pages 140-173, March.
    9. Qiu, Xuan & Lam, Jasmine Siu Lee & Huang, George Q., 2015. "A bilevel storage pricing model for outbound containers in a dry port system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 73(C), pages 65-83.
    10. Lehtinen, Jarkko & Bask, Anu H., 2012. "Analysis of business models for potential 3Mode transport corridor," Journal of Transport Geography, Elsevier, vol. 22(C), pages 96-108.
    11. Martin Hrušovský & Emrah Demir & Werner Jammernegg & Tom Woensel, 2018. "Hybrid simulation and optimization approach for green intermodal transportation problem with travel time uncertainty," Flexible Services and Manufacturing Journal, Springer, vol. 30(3), pages 486-516, September.
    12. Yi-Kuei Lin & Cheng-Fu Huang & Yi-Chieh Liao & Chih-Ching Yeh, 2017. "System reliability for a multistate intermodal logistics network with time windows," International Journal of Production Research, Taylor & Francis Journals, vol. 55(7), pages 1957-1969, April.
    13. Sina Mohri, Seyed & Thompson, Russell, 2022. "Designing sustainable intermodal freight transportation networks using a controlled rail tariff discounting policy – The Iranian case," Transportation Research Part A: Policy and Practice, Elsevier, vol. 157(C), pages 59-77.
    14. Baykasoğlu, Adil & Subulan, Kemal, 2016. "A multi-objective sustainable load planning model for intermodal transportation networks with a real-life application," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 95(C), pages 207-247.
    15. Woodburn, Allan, 2013. "Effects of rail network enhancement on port hinterland container activity: a United Kingdom case study," Journal of Transport Geography, Elsevier, vol. 33(C), pages 162-169.
    16. Martine Mostert & An Caris & Sabine Limbourg, 2018. "Intermodal network design: a three-mode bi-objective model applied to the case of Belgium," Flexible Services and Manufacturing Journal, Springer, vol. 30(3), pages 397-420, September.
    17. Zhang, M. & Pel, A.J., 2016. "Synchromodal hinterland freight transport: Model study for the port of Rotterdam," Journal of Transport Geography, Elsevier, vol. 52(C), pages 1-10.
    18. Erica Varese & Danilo Stefano Marigo & Mariarosaria Lombardi, 2020. "Dry Port: A Review on Concept, Classification, Functionalities and Technological Processes," Logistics, MDPI, vol. 4(4), pages 1-16, November.
    19. Numa-Navarro, Ian & Wilmsmeier, Gordon & Gil, Cristiam, 2023. "Improving empty container management using street-turn: A case study of the Colombian logistics network," Journal of Transport Geography, Elsevier, vol. 112(C).
    20. Bogdana Stanojević & Milan Stanojević & Sorin Nădăban, 2021. "Reinstatement of the Extension Principle in Approaching Mathematical Programming with Fuzzy Numbers," Mathematics, MDPI, vol. 9(11), pages 1-16, June.

    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:gam:jmathe:v:8:y:2020:i:12:p:2109-:d:451202. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.