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An inventory–routing problem with the objective of travel time minimization

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  • Li, Kunpeng
  • Chen, Bin
  • Sivakumar, Appa Iyer
  • Wu, Yong

Abstract

In this paper, we consider an inventory–routing problem (IRP) in a large petroleum and petrochemical enterprise group. Compared to many other IRPs, the problem in this paper includes some special aspects due to the operational constraints, such as hours-of-service regulations of the company and the industry. Also, in some cases, it is more important to avoid stock out for any station, rather than purely focusing on transportation cost minimization. The objective is to minimize the maximum of the route travel time, which is not addressed in the literature so far. We present a tabu search algorithm to tackle the problem, which builds in an efficient and effective procedure to improve the search quality in each iteration. Moreover, lower bounds of reasonable sized problems, which are intractable in the formulated mathematical model by existing optimization software, are obtained via Lagrangian relaxation technique. Computational results indicate that the lower bounds are tight and the tabu search is capable of providing near optimal, close-to-lower-bound solutions in a computational time effective manner.

Suggested Citation

  • Li, Kunpeng & Chen, Bin & Sivakumar, Appa Iyer & Wu, Yong, 2014. "An inventory–routing problem with the objective of travel time minimization," European Journal of Operational Research, Elsevier, vol. 236(3), pages 936-945.
    • Handle: RePEc:eee:ejores:v:236:y:2014:i:3:p:936-945
    DOI: 10.1016/j.ejor.2013.07.034
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    1. Niklas Kohl & Oli B. G. Madsen, 1997. "An Optimization Algorithm for the Vehicle Routing Problem with Time Windows Based on Lagrangian Relaxation," Operations Research, INFORMS, vol. 45(3), pages 395-406, June.
    2. Luca Bertazzi, 2008. "Analysis of Direct Shipping Policies in an Inventory-Routing Problem with Discrete Shipping Times," Management Science, INFORMS, vol. 54(4), pages 748-762, April.
    3. Imai, Akio & Nishimura, Etsuko & Current, John, 2007. "A Lagrangian relaxation-based heuristic for the vehicle routing with full container load," European Journal of Operational Research, Elsevier, vol. 176(1), pages 87-105, January.
    4. 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.
    5. Marshall L. Fisher, 1981. "The Lagrangian Relaxation Method for Solving Integer Programming Problems," Management Science, INFORMS, vol. 27(1), pages 1-18, January.
    6. 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.
    7. Asvin Goel, 2009. "Vehicle Scheduling and Routing with Drivers' Working Hours," Transportation Science, INFORMS, vol. 43(1), pages 17-26, February.
    8. Asvin Goel, 2010. "Truck Driver Scheduling in the European Union," Transportation Science, INFORMS, vol. 44(4), pages 429-441, November.
    9. Thierry Benoist & Frédéric Gardi & Antoine Jeanjean & Bertrand Estellon, 2011. "Randomized Local Search for Real-Life Inventory Routing," Transportation Science, INFORMS, vol. 45(3), pages 381-398, August.
    10. T. W. Archibald & D. P. Black & K. D. Glazebrook, 2009. "Indexability and Index Heuristics for a Simple Class of Inventory Routing Problems," Operations Research, INFORMS, vol. 57(2), pages 314-326, April.
    11. 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.
    12. Li, Jianxiang & Chen, Haoxun & Chu, Feng, 2010. "Performance evaluation of distribution strategies for the inventory routing problem," European Journal of Operational Research, Elsevier, vol. 202(2), pages 412-419, April.
    13. W L Ng & S C H Leung & J K P Lam & S W Pan, 2008. "Petrol delivery tanker assignment and routing: a case study in Hong Kong," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(9), pages 1191-1200, September.
    14. Alegre, Jesus & Laguna, Manuel & Pacheco, Joaquin, 2007. "Optimizing the periodic pick-up of raw materials for a manufacturer of auto parts," European Journal of Operational Research, Elsevier, vol. 179(3), pages 736-746, June.
    15. 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.
    16. 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.
    17. Ann Melissa Campbell & Martin W. P. Savelsbergh, 2004. "Delivery Volume Optimization," Transportation Science, INFORMS, vol. 38(2), pages 210-223, May.
    18. Muyldermans, L. & Pang, G., 2010. "On the benefits of co-collection: Experiments with a multi-compartment vehicle routing algorithm," European Journal of Operational Research, Elsevier, vol. 206(1), pages 93-103, October.
    19. Michel Gendreau & Alain Hertz & Gilbert Laporte, 1992. "New Insertion and Postoptimization Procedures for the Traveling Salesman Problem," Operations Research, INFORMS, vol. 40(6), pages 1086-1094, December.
    20. Persson, Jan A. & Gothe-Lundgren, Maud, 2005. "Shipment planning at oil refineries using column generation and valid inequalities," European Journal of Operational Research, Elsevier, vol. 163(3), pages 631-652, June.
    21. Zachariadis, Emmanouil E. & Tarantilis, Christos D. & Kiranoudis, Christos T., 2009. "A Guided Tabu Search for the Vehicle Routing Problem with two-dimensional loading constraints," European Journal of Operational Research, Elsevier, vol. 195(3), pages 729-743, June.
    22. Zhao, Qiu-Hong & Wang, Shou-Yang & Lai, K.K., 2007. "A partition approach to the inventory/routing problem," European Journal of Operational Research, Elsevier, vol. 177(2), pages 786-802, March.
    23. Moin, N.H. & Salhi, S. & Aziz, N.A.B., 2011. "An efficient hybrid genetic algorithm for the multi-product multi-period inventory routing problem," International Journal of Production Economics, Elsevier, vol. 133(1), pages 334-343, September.
    24. Cornillier, Fabien & Boctor, Fayez & Renaud, Jacques, 2012. "Heuristics for the multi-depot petrol station replenishment problem with time windows," European Journal of Operational Research, Elsevier, vol. 220(2), pages 361-369.
    25. 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.
    26. Roar Grønhaug & Marielle Christiansen & Guy Desaulniers & Jacques Desrosiers, 2010. "A Branch-and-Price Method for a Liquefied Natural Gas Inventory Routing Problem," Transportation Science, INFORMS, vol. 44(3), pages 400-415, August.
    27. Marshall L. Fisher, 1985. "An Applications Oriented Guide to Lagrangian Relaxation," Interfaces, INFORMS, vol. 15(2), pages 10-21, April.
    28. Asvin Goel & Leendert Kok, 2012. "Truck Driver Scheduling in the United States," Transportation Science, INFORMS, vol. 46(3), pages 317-326, August.
    29. C. Archetti & M. G. Speranza & A. Hertz, 2006. "A Tabu Search Algorithm for the Split Delivery Vehicle Routing Problem," Transportation Science, INFORMS, vol. 40(1), pages 64-73, February.
    30. Cornillier, Fabien & Boctor, Fayez F. & Laporte, Gilbert & Renaud, Jacques, 2008. "A heuristic for the multi-period petrol station replenishment problem," European Journal of Operational Research, Elsevier, vol. 191(2), pages 295-305, December.
    31. Jeffrey W. Ohlmann & Michael J. Fry & Barrett W. Thomas, 2008. "Route Design for Lean Production Systems," Transportation Science, INFORMS, vol. 42(3), pages 352-370, August.
    32. 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.
    33. Avella, Pasquale & Boccia, Maurizio & Sforza, Antonio, 2004. "Solving a fuel delivery problem by heuristic and exact approaches," European Journal of Operational Research, Elsevier, vol. 152(1), pages 170-179, January.
    34. 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.
    35. Huang, Shan-Huen & Lin, Pei-Chun, 2010. "A modified ant colony optimization algorithm for multi-item inventory routing problems with demand uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(5), pages 598-611, September.
    36. Vishal Gaur & Marshall L. Fisher, 2004. "A Periodic Inventory Routing Problem at a Supermarket Chain," Operations Research, INFORMS, vol. 52(6), pages 813-822, December.
    37. Kang, Jae-Hun & Kim, Yeong-Dae, 2010. "Coordination of inventory and transportation managements in a two-level supply chain," International Journal of Production Economics, Elsevier, vol. 123(1), pages 137-145, January.
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