IDEAS home Printed from https://ideas.repec.org/a/inm/ortrsc/v50y2016i3p1114-1127.html
   My bibliography  Save this article

Dynamic Speed Optimization in Supply Chains with Stochastic Demand

Author

Listed:
  • Peter Berling

    (Department of Industrial Management and Logistics, Lund University, 221 00 Lund, Sweden)

  • Victor Martínez-de-Albéniz

    (IESE Business School, University of Navarra, 08034 Barcelona, Spain)

Abstract

In this paper, we analyze how to continuously adjust the speed in a supply chain with stochastic demand. For each unit (e.g., truckload, shipping container) in the chain, one must decide at which speed it should be moved downstream, given the state of the system, to minimize total supply chain costs. We decompose the problem into a set of one-dimensional subproblems that can be easily solved and characterize the optimal variable speed policy: under some assumptions, we show that it is optimal to set a speed that is first increasing in the distance to the market, and then decreasing. As a result, at optimality a given unit will experience an accelerating speed and then it will be slowed down, unless a demand occurs, in which case, the speed will be adjusted upward. We finally provide a transportation case study where we estimate the benefits of a variable-speed compared to a fixed-speed policy and show them to be significant both financially and from a CO 2 -emissions perspective.

Suggested Citation

  • Peter Berling & Victor Martínez-de-Albéniz, 2016. "Dynamic Speed Optimization in Supply Chains with Stochastic Demand," Transportation Science, INFORMS, vol. 50(3), pages 1114-1127, August.
    • Handle: RePEc:inm:ortrsc:v:50:y:2016:i:3:p:1114-1127
    DOI: 10.1287/trsc.2014.0561
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/trsc.2014.0561
    Download Restriction: no
    File URL: https://libkey.io/10.1287/trsc.2014.0561?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. Andrew J. Clark & Herbert Scarf, 2004. "Optimal Policies for a Multi-Echelon Inventory Problem," Management Science, INFORMS, vol. 50(12_supple), pages 1782-1790, December.
    2. Ganesh Janakiraman & John A. Muckstadt, 2009. "A Decomposition Approach for a Class of Capacitated Serial Systems," Operations Research, INFORMS, vol. 57(6), pages 1384-1393, December.
    3. Minner, Stefan, 2003. "Multiple-supplier inventory models in supply chain management: A review," International Journal of Production Economics, Elsevier, vol. 81(1), pages 265-279, January.
    4. Fangruo Chen & Yu-Sheng Zheng, 1994. "Lower Bounds for Multi-Echelon Stochastic Inventory Systems," Management Science, INFORMS, vol. 40(11), pages 1426-1443, November.
    5. Sven Axsäter & Kaj Rosling, 1993. "Notes: Installation vs. Echelon Stock Policies for Multilevel Inventory Control," Management Science, INFORMS, vol. 39(10), pages 1274-1280, October.
    6. Aditya Jain & Harry Groenevelt & Nils Rudi, 2010. "Continuous Review Inventory Model with Dynamic Choice of Two Freight Modes with Fixed Costs," Manufacturing & Service Operations Management, INFORMS, vol. 12(1), pages 120-139, August.
    7. David G. Lawson & Evan L. Porteus, 2000. "Multistage Inventory Management with Expediting," Operations Research, INFORMS, vol. 48(6), pages 878-893, December.
    8. Alp Muharremoglu & John N. Tsitsiklis, 2008. "A Single-Unit Decomposition Approach to Multiechelon Inventory Systems," Operations Research, INFORMS, vol. 56(5), pages 1089-1103, October.
    9. Jing-Sheng Song & Paul Zipkin, 2009. "Inventories with Multiple Supply Sources and Networks of Queues with Overflow Bypasses," Management Science, INFORMS, vol. 55(3), pages 362-372, March.
    10. Victor Martínez-de-Albéniz & Alejandro Lago, 2010. "Myopic Inventory Policies Using Individual Customer Arrival Information," Manufacturing & Service Operations Management, INFORMS, vol. 12(4), pages 663-672, May.
    11. Gallego, Guillermo & Jin, Yue & Muriel, Ana & Zhang, Ge & Yildiz, V. Taylan, 2007. "Optimal ordering policies with convertible lead times," European Journal of Operational Research, Elsevier, vol. 176(2), pages 892-910, January.
    12. Johan Marklund, 2002. "Centralized inventory control in a two‐level distribution system with Poisson demand," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(8), pages 798-822, December.
    13. Kamran Moinzadeh & Charles P. Schmidt, 1991. "An (S − 1, S) Inventory System with Emergency Orders," Operations Research, INFORMS, vol. 39(2), pages 308-321, April.
    14. Awi Federgruen & Paul Zipkin, 1984. "Computational Issues in an Infinite-Horizon, Multiechelon Inventory Model," Operations Research, INFORMS, vol. 32(4), pages 818-836, August.
    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. de Kok, Ton & Grob, Christopher & Laumanns, Marco & Minner, Stefan & Rambau, Jörg & Schade, Konrad, 2018. "A typology and literature review on stochastic multi-echelon inventory models," European Journal of Operational Research, Elsevier, vol. 269(3), pages 955-983.
    2. Drent, Melvin & Moradi, Poulad & Arts, Joachim, 2023. "Efficient emission reduction through dynamic supply mode selection," European Journal of Operational Research, Elsevier, vol. 311(3), pages 925-941.
    3. Peter Berling & Danja R. Sonntag, 2022. "Inventory control in production–inventory systems with random yield and rework: The unit‐tracking approach," Production and Operations Management, Production and Operations Management Society, vol. 31(6), pages 2628-2645, June.
    4. Höller, Simon J. & Özsen, Raik & Thonemann, Ulrich W., 2020. "Determining optimal parameters for expediting policies under service level constraints," European Journal of Operational Research, Elsevier, vol. 281(2), pages 274-285.

    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. Peter Berling & Victor Martínez‐de‐Albéniz, 2016. "A characterization of optimal base‐stock levels for a multistage serial supply chain," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(1), pages 32-46, February.
    2. Svoboda, Josef & Minner, Stefan & Yao, Man, 2021. "Typology and literature review on multiple supplier inventory control models," European Journal of Operational Research, Elsevier, vol. 293(1), pages 1-23.
    3. de Kok, Ton & Grob, Christopher & Laumanns, Marco & Minner, Stefan & Rambau, Jörg & Schade, Konrad, 2018. "A typology and literature review on stochastic multi-echelon inventory models," European Journal of Operational Research, Elsevier, vol. 269(3), pages 955-983.
    4. Li Chen & Jing-Sheng Song & Yue Zhang, 2017. "Serial Inventory Systems with Markov-Modulated Demand: Derivative Bounds, Asymptotic Analysis, and Insights," Operations Research, INFORMS, vol. 65(5), pages 1231-1249, October.
    5. Kouki, Chaaben & Babai, M. Zied & Minner, Stefan, 2018. "On the benefit of dual-sourcing in managing perishable inventory," International Journal of Production Economics, Elsevier, vol. 204(C), pages 1-17.
    6. Woonghee Tim Huh & Ganesh Janakiraman & Mahesh Nagarajan, 2016. "Capacitated Multiechelon Inventory Systems: Policies and Bounds," Manufacturing & Service Operations Management, INFORMS, vol. 18(4), pages 570-584, October.
    7. Arts, Joachim & Kiesmüller, Gudrun P., 2013. "Analysis of a two-echelon inventory system with two supply modes," European Journal of Operational Research, Elsevier, vol. 225(2), pages 263-272.
    8. Anshul Sheopuri & Ganesh Janakiraman & Sridhar Seshadri, 2010. "New Policies for the Stochastic Inventory Control Problem with Two Supply Sources," Operations Research, INFORMS, vol. 58(3), pages 734-745, June.
    9. Jordan Tong & Gregory DeCroix & Jing-Sheng Song, 2020. "Modeling Payment Timing in Multiechelon Inventory Systems with Applications to Supply Chain Coordination," Manufacturing & Service Operations Management, INFORMS, vol. 22(2), pages 346-363, March.
    10. Xiuli Chao & Sean X. Zhou, 2009. "Optimal Policy for a Multiechelon Inventory System with Batch Ordering and Fixed Replenishment Intervals," Operations Research, INFORMS, vol. 57(2), pages 377-390, April.
    11. Hekimoğlu, Mustafa & Scheller-Wolf, Alan, 2023. "Dual sourcing models with stock-out dependent substitution," European Journal of Operational Research, Elsevier, vol. 311(2), pages 472-485.
    12. Holly Lutze & Özalp Özer, 2008. "Promised Lead-Time Contracts Under Asymmetric Information," Operations Research, INFORMS, vol. 56(4), pages 898-915, August.
    13. Alexandar Angelus, 2011. "A Multiechelon Inventory Problem with Secondary Market Sales," Management Science, INFORMS, vol. 57(12), pages 2145-2162, December.
    14. Rodney P. Parker & Roman Kapuscinski, 2004. "Optimal Policies for a Capacitated Two-Echelon Inventory System," Operations Research, INFORMS, vol. 52(5), pages 739-755, October.
    15. Fangruo Chen, 2000. "Optimal Policies for Multi-Echelon Inventory Problems with Batch Ordering," Operations Research, INFORMS, vol. 48(3), pages 376-389, June.
    16. Qingkai Ji & Lijun Sun & Xiangpei Hu & Jing Hou, 2016. "Optimal policies of a two-echelon serial inventory system with general limited capacities," International Journal of Production Research, Taylor & Francis Journals, vol. 54(20), pages 6142-6155, October.
    17. Matthew J. Sobel & Volodymyr Babich, 2012. "Optimality of Myopic Policies for Dynamic Lot-Sizing Problems in Serial Production Lines with Random Yields and Autoregressive Demand," Operations Research, INFORMS, vol. 60(6), pages 1520-1536, December.
    18. Lingxiu Dong & Hau L. Lee, 2003. "Optimal Policies and Approximations for a Serial Multiechelon Inventory System with Time-Correlated Demand," Operations Research, INFORMS, vol. 51(6), pages 969-980, December.
    19. Alexandar Angelus & Özalp Özer, 2016. "Knowledge You Can Act on: Optimal Policies for Assembly Systems with Expediting and Advance Demand Information," Operations Research, INFORMS, vol. 64(6), pages 1338-1371, December.
    20. Retsef Levi & Robin Roundy & Van Anh Truong & Xinshang Wang, 2017. "Provably Near-Optimal Balancing Policies for Multi-Echelon Stochastic Inventory Control Models," Mathematics of Operations Research, INFORMS, vol. 42(1), pages 256-276, January.

    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:50:y:2016:i:3:p:1114-1127. 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.