IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v229y2020ics092552732030222x.html
   My bibliography  Save this article

A Bender’s based nested decomposition algorithm to solve a stochastic inland waterway port management problem considering perishable product

Author

Listed:
  • Aghalari, Amin
  • Nur, Farjana
  • Marufuzzaman, Mohammad

Abstract

The inland waterway transportation system provides one of the most economical and environmentally friendly means of transportation with significant contributions to the nation’s overall transportation economy. This study aims to develop a sound and realistic model, capturing diversified inland waterway transportation network-related properties and complex interactions between different transportation entities. Additionally, this study ensures optimal inventory management decisions for perishable products having stochastic availability under unpredictable waterway conditions over time. To this end, we propose a two-stage mixed-integer linear programming (MILP) model capturing the aforementioned issues, along with specific concern to the perishable product storage and transportation. Subsequently, we propose a hybrid decomposition algorithm combining the enhanced Benders decomposition algorithm and sample average approximation to solve the large size test instances of this complex problem. Further, a case study considering the inland waterway transportation system of the lower Mississippi River is demonstrated. The sensitivity analysis results show that the system is highly sensitive to the commodity shelf life. With a 60% higher commodity deterioration rate, the overall commodity storage need increases by 12.3%, the total system cost increases by about 33%.

Suggested Citation

  • Aghalari, Amin & Nur, Farjana & Marufuzzaman, Mohammad, 2020. "A Bender’s based nested decomposition algorithm to solve a stochastic inland waterway port management problem considering perishable product," International Journal of Production Economics, Elsevier, vol. 229(C).
    • Handle: RePEc:eee:proeco:v:229:y:2020:i:c:s092552732030222x
    DOI: 10.1016/j.ijpe.2020.107863
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S092552732030222X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ijpe.2020.107863?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. Michel L. Balinski, 1961. "Fixed‐cost transportation problems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 8(1), pages 41-54, March.
    2. T. L. Magnanti & R. T. Wong, 1981. "Accelerating Benders Decomposition: Algorithmic Enhancement and Model Selection Criteria," Operations Research, INFORMS, vol. 29(3), pages 464-484, June.
    3. Christiansen, Marielle & Fagerholt, Kjetil & Flatberg, Truls & Haugen, Øyvind & Kloster, Oddvar & Lund, Erik H., 2011. "Maritime inventory routing with multiple products: A case study from the cement industry," European Journal of Operational Research, Elsevier, vol. 208(1), pages 86-94, January.
    4. Poudel, Sushil Raj & Marufuzzaman, Mohammad & Bian, Linkan, 2016. "A hybrid decomposition algorithm for designing a multi-modal transportation network under biomass supply uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 94(C), pages 1-25.
    5. Baroud, Hiba & Barker, Kash & Ramirez-Marquez, Jose E. & Rocco S., Claudio M., 2014. "Importance measures for inland waterway network resilience," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 62(C), pages 55-67.
    6. Zhang, M. & Janic, M. & Tavasszy, L.A., 2015. "A freight transport optimization model for integrated network, service, and policy design," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 77(C), pages 61-76.
    7. Wiegmans, Bart & Witte, Patrick, 2017. "Efficiency of inland waterway container terminals: Stochastic frontier and data envelopment analysis to analyze the capacity design- and throughput efficiency," Transportation Research Part A: Policy and Practice, Elsevier, vol. 106(C), pages 12-21.
    8. Gonzales, Daniela & Searcy, Erin M. & Ekşioğlu, Sandra D., 2013. "Cost analysis for high-volume and long-haul transportation of densified biomass feedstock," Transportation Research Part A: Policy and Practice, Elsevier, vol. 49(C), pages 48-61.
    9. Yossiri Adulyasak & Jean-François Cordeau & Raf Jans, 2015. "Benders Decomposition for Production Routing Under Demand Uncertainty," Operations Research, INFORMS, vol. 63(4), pages 851-867, August.
    10. DeVuyst, Eric & Wilson, William W. & Dahl, Bruce, 2009. "Longer-term forecasting and risks in spatial optimization models: The world grain trade," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(3), pages 472-485, May.
    11. Mohammad Marufuzzaman & Sandra Duni Ekşioğlu, 2017. "Designing a Reliable and Dynamic Multimodal Transportation Network for Biofuel Supply Chains," Transportation Science, INFORMS, vol. 51(2), pages 494-517, May.
    12. 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.
    13. Liao, Chun-Hsiung & Tseng, Po-Hsing & Cullinane, Kevin & Lu, Chin-Shan, 2010. "The impact of an emerging port on the carbon dioxide emissions of inland container transport: An empirical study of Taipei port," Energy Policy, Elsevier, vol. 38(9), pages 5251-5257, September.
    14. Sakine Batun & Brian T. Denton & Todd R. Huschka & Andrew J. Schaefer, 2011. "Operating Room Pooling and Parallel Surgery Processing Under Uncertainty," INFORMS Journal on Computing, INFORMS, vol. 23(2), pages 220-237, May.
    15. 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.
    16. Birge, John R. & Louveaux, Francois V., 1988. "A multicut algorithm for two-stage stochastic linear programs," European Journal of Operational Research, Elsevier, vol. 34(3), pages 384-392, March.
    17. Wang, Shuaian & Meng, Qiang, 2015. "Robust bunker management for liner shipping networks," European Journal of Operational Research, Elsevier, vol. 243(3), pages 789-797.
    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. Aghalari, Amin & Nur, Farjana & Marufuzzaman, Mohammad, 2021. "Solving a stochastic inland waterway port management problem using a parallelized hybrid decomposition algorithm," Omega, Elsevier, vol. 102(C).
    2. Zhang, Haifeng & Yang, Kai & Gao, Yuan & Yang, Lixing, 2022. "Accelerating Benders decomposition for stochastic incomplete multimodal hub location problem in many-to-many transportation and distribution systems," International Journal of Production Economics, Elsevier, vol. 248(C).
    3. Sanjeev Bhurtyal & Sarah Hernandez & Sandra Eksioglu & Manzi Yves, 2024. "A two-stage stochastic optimization model for port infrastructure planning," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 26(2), pages 185-211, June.
    4. Cao, Yunzhi & Zhu, Xiaoyan & Yan, Houmin, 2022. "Data-driven Wasserstein distributionally robust mitigation and recovery against random supply chain disruption," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 163(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. Aghalari, Amin & Nur, Farjana & Marufuzzaman, Mohammad, 2021. "Solving a stochastic inland waterway port management problem using a parallelized hybrid decomposition algorithm," Omega, Elsevier, vol. 102(C).
    2. Teodor Gabriel Crainic & Mike Hewitt & Francesca Maggioni & Walter Rei, 2021. "Partial Benders Decomposition: General Methodology and Application to Stochastic Network Design," Transportation Science, INFORMS, vol. 55(2), pages 414-435, March.
    3. Mohammad Marufuzzaman & Farjana Nur & Amy E. Bednar & Mark Cowan, 2020. "Enhancing Benders decomposition algorithm to solve a combat logistics problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(1), pages 161-198, March.
    4. Ragheb Rahmaniani & Shabbir Ahmed & Teodor Gabriel Crainic & Michel Gendreau & Walter Rei, 2020. "The Benders Dual Decomposition Method," Operations Research, INFORMS, vol. 68(3), pages 878-895, May.
    5. Halit Üster & Sung Ook Hwang, 2017. "Closed-Loop Supply Chain Network Design Under Demand and Return Uncertainty," Transportation Science, INFORMS, vol. 51(4), pages 1063-1085, November.
    6. Bhuiyan, Tanveer Hossain & Medal, Hugh R. & Harun, Sarah, 2020. "A stochastic programming model with endogenous and exogenous uncertainty for reliable network design under random disruption," European Journal of Operational Research, Elsevier, vol. 285(2), pages 670-694.
    7. Gruson, Matthieu & Cordeau, Jean-François & Jans, Raf, 2021. "Benders decomposition for a stochastic three-level lot sizing and replenishment problem with a distribution structure," European Journal of Operational Research, Elsevier, vol. 291(1), pages 206-217.
    8. Xie, Fei & Huang, Yongxi, 2018. "A multistage stochastic programming model for a multi-period strategic expansion of biofuel supply chain under evolving uncertainties," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 111(C), pages 130-148.
    9. Rahmaniani, Ragheb & Crainic, Teodor Gabriel & Gendreau, Michel & Rei, Walter, 2017. "The Benders decomposition algorithm: A literature review," European Journal of Operational Research, Elsevier, vol. 259(3), pages 801-817.
    10. Sushil R. Poudel & Md Abdul Quddus & Mohammad Marufuzzaman & Linkan Bian & Reuben F. Burch V, 2019. "Managing congestion in a multi-modal transportation network under biomass supply uncertainty," Annals of Operations Research, Springer, vol. 273(1), pages 739-781, February.
    11. Sushil Poudel & Mohammad Marufuzzaman & Md Abdul Quddus & Sudipta Chowdhury & Linkan Bian & Brian Smith, 2018. "Designing a Reliable and Congested Multi-Modal Facility Location Problem for Biofuel Supply Chain Network," Energies, MDPI, vol. 11(7), pages 1-24, June.
    12. Walter Rei & Jean-François Cordeau & Michel Gendreau & Patrick Soriano, 2009. "Accelerating Benders Decomposition by Local Branching," INFORMS Journal on Computing, INFORMS, vol. 21(2), pages 333-345, May.
    13. Vahab Vahdat & Mohammad Ali Vahdatzad, 2017. "Accelerated Benders’ Decomposition for Integrated Forward/Reverse Logistics Network Design under Uncertainty," Logistics, MDPI, vol. 1(2), pages 1-21, December.
    14. Poudel, Sushil Raj & Marufuzzaman, Mohammad & Bian, Linkan, 2016. "A hybrid decomposition algorithm for designing a multi-modal transportation network under biomass supply uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 94(C), pages 1-25.
    15. Mohammad Marufuzzaman & Sandra Duni Ekşioğlu, 2017. "Designing a Reliable and Dynamic Multimodal Transportation Network for Biofuel Supply Chains," Transportation Science, INFORMS, vol. 51(2), pages 494-517, May.
    16. Marufuzzaman, Mohammad & Eksioglu, Sandra D. & Li, Xiaopeng & Wang, Jin, 2014. "Analyzing the impact of intermodal-related risk to the design and management of biofuel supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 69(C), pages 122-145.
    17. Sarmadi, Kamran & Amiri-Aref, Mehdi & Dong, Jing-Xin & Hicks, Christian, 2020. "Integrated strategic and operational planning of dry port container networks in a stochastic environment," Transportation Research Part B: Methodological, Elsevier, vol. 139(C), pages 132-164.
    18. S. Ayca Erdogan & Brian Denton, 2013. "Dynamic Appointment Scheduling of a Stochastic Server with Uncertain Demand," INFORMS Journal on Computing, INFORMS, vol. 25(1), pages 116-132, February.
    19. Marufuzzaman, Mohammad & Ekşioğlu, Sandra Duni, 2017. "Managing congestion in supply chains via dynamic freight routing: An application in the biomass supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 99(C), pages 54-76.
    20. M. Jenabi & S. M. T. Fatemi Ghomi & S. A. Torabi & Moeen Sammak Jalali, 2022. "An accelerated Benders decomposition algorithm for stochastic power system expansion planning using sample average approximation," OPSEARCH, Springer;Operational Research Society of India, vol. 59(4), pages 1304-1336, December.

    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:proeco:v:229:y:2020:i:c:s092552732030222x. 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/ijpe .

    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.