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Cyclic Delivery Schedules for an Inventory Routing Problem

Author

Listed:
  • Ali Ekici

    (Department of Industrial Engineering, Ozyegin University, Istanbul, 34794 Turkey)

  • Okan Örsan Özener

    (Department of Industrial Engineering, Ozyegin University, Istanbul, 34794 Turkey)

  • Gültekin Kuyzu

    (Department of Industrial Engineering, TOBB University of Economics and Technology, Ankara, 06560 Turkey)

Abstract

We consider an inventory routing problem where a common vendor is responsible for replenishing the inventories of several customers over a perpetual time horizon. The objective of the vendor is to minimize the total cost of transportation of a single product from a single depot to a set of customers with deterministic and stationary consumption rates over a planning horizon while avoiding stock-outs at the customer locations. We focus on constructing a repeatable (cyclic) delivery schedule for the product delivery. We propose a novel algorithm, called the Iterative Clustering-Based Constructive Heuristic Algorithm , to solve the problem in two stages: (i) clustering, and (ii) delivery schedule generation. To test the performance of the proposed algorithm in terms of solution quality and computational efficiency, we perform a computational study on both randomly generated instances and real-life instances provided by an industrial gases manufacturer. We also compare the performance of the proposed algorithm against an algorithm developed for general routing problems.

Suggested Citation

  • Ali Ekici & Okan Örsan Özener & Gültekin Kuyzu, 2015. "Cyclic Delivery Schedules for an Inventory Routing Problem," Transportation Science, INFORMS, vol. 49(4), pages 817-829, November.
    • Handle: RePEc:inm:ortrsc:v:49:y:2015:i:4:p:817-829
    DOI: 10.1287/trsc.2014.0538
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    References listed on IDEAS

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    1. Ann Melissa Campbell & Martin W. P. Savelsbergh, 2004. "A Decomposition Approach for the Inventory-Routing Problem," Transportation Science, INFORMS, vol. 38(4), pages 488-502, November.
    2. Qu, Wendy W. & Bookbinder, James H. & Iyogun, Paul, 1999. "An integrated inventory-transportation system with modified periodic policy for multiple products," European Journal of Operational Research, Elsevier, vol. 115(2), pages 254-269, June.
    3. Zhao, Qiu-Hong & Chen, Shuang & Zang, Cun-Xun, 2008. "Model and algorithm for inventory/routing decision in a three-echelon logistics system," European Journal of Operational Research, Elsevier, vol. 191(3), pages 623-635, December.
    4. Raa, Birger & Aghezzaf, El-Houssaine, 2008. "Designing distribution patterns for long-term inventory routing with constant demand rates," International Journal of Production Economics, Elsevier, vol. 112(1), pages 255-263, March.
    5. Julien Bramel & David Simchi-Levi, 1995. "A Location Based Heuristic for General Routing Problems," Operations Research, INFORMS, vol. 43(4), pages 649-660, August.
    6. Philip Kaminsky & David Simchi-Levi, 1998. "Probabilistic Analysis and Practical Algorithms for the Flow Shop Weighted Completion Time Problem," Operations Research, INFORMS, vol. 46(6), pages 872-882, December.
    7. Marius M. Solomon, 1987. "Algorithms for the Vehicle Routing and Scheduling Problems with Time Window Constraints," Operations Research, INFORMS, vol. 35(2), pages 254-265, April.
    8. Jaeheon Jung & Kamlesh Mathur, 2007. "An Efficient Heuristic Algorithm for a Two-Echelon Joint Inventory and Routing Problem," Transportation Science, INFORMS, vol. 41(1), pages 55-73, February.
    9. S. Viswanathan & Kamlesh Mathur, 1997. "Integrating Routing and Inventory Decisions in One-Warehouse Multiretailer Multiproduct Distribution Systems," Management Science, INFORMS, vol. 43(3), pages 294-312, March.
    10. S. Anily & A. Federgruen, 1993. "Two-Echelon Distribution Systems with Vehicle Routing Costs and Central Inventories," Operations Research, INFORMS, vol. 41(1), pages 37-47, February.
    11. Daniel Adelman, 2004. "A Price-Directed Approach to Stochastic Inventory/Routing," Operations Research, INFORMS, vol. 52(4), pages 499-514, August.
    12. Walter J. Bell & Louis M. Dalberto & Marshall L. Fisher & Arnold J. Greenfield & R. Jaikumar & Pradeep Kedia & Robert G. Mack & Paul J. Prutzman, 1983. "Improving the Distribution of Industrial Gases with an On-Line Computerized Routing and Scheduling Optimizer," Interfaces, INFORMS, vol. 13(6), pages 4-23, December.
    13. Lap Mui Ann Chan & Awi Federgruen & David Simchi-Levi, 1998. "Probabilistic Analyses and Practical Algorithms for Inventory-Routing Models," Operations Research, INFORMS, vol. 46(1), pages 96-106, February.
    14. Raa, Birger & Aghezzaf, El-Houssaine, 2009. "A practical solution approach for the cyclic inventory routing problem," European Journal of Operational Research, Elsevier, vol. 192(2), pages 429-441, January.
    15. N H Moin & S Salhi, 2007. "Inventory routing problems: a logistical overview," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(9), pages 1185-1194, September.
    16. Oğuz Solyalı & Haldun Süral, 2011. "A Branch-and-Cut Algorithm Using a Strong Formulation and an A Priori Tour-Based Heuristic for an Inventory-Routing Problem," Transportation Science, INFORMS, vol. 45(3), pages 335-345, August.
    17. Li, Jianxiang & Chu, Feng & Chen, Haoxun, 2011. "A solution approach to the inventory routing problem in a three-level distribution system," European Journal of Operational Research, Elsevier, vol. 210(3), pages 736-744, May.
    18. D Ronen, 2002. "Marine inventory routing: shipments planning," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(1), pages 108-114, January.
    19. Anton J. Kleywegt & Vijay S. Nori & Martin W. P. Savelsbergh, 2004. "Dynamic Programming Approximations for a Stochastic Inventory Routing Problem," Transportation Science, INFORMS, vol. 38(1), pages 42-70, February.
    20. Anton J. Kleywegt & Vijay S. Nori & Martin W. P. Savelsbergh, 2002. "The Stochastic Inventory Routing Problem with Direct Deliveries," Transportation Science, INFORMS, vol. 36(1), pages 94-118, February.
    21. Luca Bertazzi & Lap Mui Ann Chan & Maria Grazia Speranza, 2007. "Analysis of practical policies for a single link distribution system," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(5), pages 497-509, August.
    22. Luca Bertazzi & Giuseppe Paletta & M. Grazia Speranza, 2002. "Deterministic Order-Up-To Level Policies in an Inventory Routing Problem," Transportation Science, INFORMS, vol. 36(1), pages 119-132, February.
    23. Lap Mui Ann Chan & David Simchi-Levi, 1998. "Probabilistic Analyses and Algorithms for Three-Level Distribution Systems," Management Science, INFORMS, vol. 44(11-Part-1), pages 1562-1576, November.
    24. S. Anily & A. Federgruen, 1990. "One Warehouse Multiple Retailer Systems with Vehicle Routing Costs," Management Science, INFORMS, vol. 36(1), pages 92-114, January.
    25. Claudia Archetti & Luca Bertazzi & Alain Hertz & M. Grazia Speranza, 2012. "A Hybrid Heuristic for an Inventory Routing Problem," INFORMS Journal on Computing, INFORMS, vol. 24(1), pages 101-116, February.
    26. Jin-Hwa Song & Martin Savelsbergh, 2007. "Performance Measurement for Inventory Routing," Transportation Science, INFORMS, vol. 41(1), pages 44-54, February.
    27. Awi Federgruen & Paul Zipkin, 1984. "A Combined Vehicle Routing and Inventory Allocation Problem," Operations Research, INFORMS, vol. 32(5), pages 1019-1037, October.
    28. Okan Örsan Özener & Özlem Ergun & Martin Savelsbergh, 2013. "Allocating Cost of Service to Customers in Inventory Routing," Operations Research, INFORMS, vol. 61(1), pages 112-125, February.
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    Cited by:

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    2. Yves Crama & Mahmood Rezaei & Martin Savelsbergh & Tom Van Woensel, 2018. "Stochastic Inventory Routing for Perishable Products," Transportation Science, INFORMS, vol. 52(3), pages 526-546, June.
    3. Emre Çankaya & Ali Ekici & Okan Örsan Özener, 2019. "Humanitarian relief supplies distribution: an application of inventory routing problem," Annals of Operations Research, Springer, vol. 283(1), pages 119-141, December.
    4. Agra, Agostinho & Christiansen, Marielle & Wolsey, Laurence, 2022. "Improved models for a single vehicle continuous-time inventory routing problem with pickups and deliveries," European Journal of Operational Research, Elsevier, vol. 297(1), pages 164-179.
    5. Ali Ekici & Okan Örsan Özener, 2020. "Inventory routing for the last mile delivery of humanitarian relief supplies," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(3), pages 621-660, September.
    6. Fokkema, Jan Eise & Land, Martin J. & Coelho, Leandro C. & Wortmann, Hans & Huitema, George B., 2020. "A continuous-time supply-driven inventory-constrained routing problem," Omega, Elsevier, vol. 92(C).
    7. Bertazzi, Luca & Laganà, Demetrio & Ohlmann, Jeffrey W. & Paradiso, Rosario, 2020. "An exact approach for cyclic inbound inventory routing in a level production system," European Journal of Operational Research, Elsevier, vol. 283(3), pages 915-928.
    8. Bender, Matthias & Meyer, Anne & Kalcsics, Jörg & Nickel, Stefan, 2016. "The multi-period service territory design problem – An introduction, a model and a heuristic approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 96(C), pages 135-157.
    9. Sonntag, Danja R. & Schrotenboer, Albert H. & Kiesmüller, Gudrun P., 2023. "Stochastic inventory routing with time-based shipment consolidation," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1186-1201.

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