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Dynamic Speed Optimization in Supply Chains with Stochastic Demand

Author

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  • 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
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Fangruo Chen & Yu-Sheng Zheng, 1994. "Lower Bounds for Multi-Echelon Stochastic Inventory Systems," Management Science, INFORMS, vol. 40(11), pages 1426-1443, November.
    7. 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.
    8. 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.
    9. 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.
    10. Awi Federgruen & Paul Zipkin, 1984. "Computational Issues in an Infinite-Horizon, Multiechelon Inventory Model," Operations Research, INFORMS, vol. 32(4), pages 818-836, August.
    11. 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.
    12. David G. Lawson & Evan L. Porteus, 2000. "Multistage Inventory Management with Expediting," Operations Research, INFORMS, vol. 48(6), pages 878-893, December.
    13. 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.
    14. 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.
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    Cited by:

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    2. 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.
    3. 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.
    4. 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.

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