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An adaptive large neighborhood search algorithm for a selective and periodic inventory routing problem

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  • Aksen, Deniz
  • Kaya, Onur
  • Sibel Salman, F.
  • Tüncel, Özge

Abstract

We study a selective and periodic inventory routing problem (SPIRP) and develop an Adaptive Large Neighborhood Search (ALNS) algorithm for its solution. The problem concerns a biodiesel production facility collecting used vegetable oil from sources, such as restaurants, catering companies and hotels that produce waste vegetable oil in considerable amounts. The facility reuses the collected waste oil as raw material to produce biodiesel. It has to meet certain raw material requirements either from daily collection, or from its inventory, or by purchasing virgin oil. SPIRP involves decisions about which of the present source nodes to include in the collection program, and which periodic (weekly) routing schedule to repeat over an infinite planning horizon. The objective is to minimize the total collection, inventory and purchasing costs while meeting the raw material requirements and operational constraints. A single-commodity flow-based mixed integer linear programming (MILP) model was proposed for this problem in an earlier study. The model was solved with 25 source nodes on a 7-day cyclic planning horizon. In order to tackle larger instances, we develop an ALNS algorithm that is based on a rich neighborhood structure with 11 distinct moves tailored to this problem. We demonstrate the performance of the ALNS, and compare it with the MILP model on test instances containing up to 100 source nodes.

Suggested Citation

  • Aksen, Deniz & Kaya, Onur & Sibel Salman, F. & Tüncel, Özge, 2014. "An adaptive large neighborhood search algorithm for a selective and periodic inventory routing problem," European Journal of Operational Research, Elsevier, vol. 239(2), pages 413-426.
    • Handle: RePEc:eee:ejores:v:239:y:2014:i:2:p:413-426
    DOI: 10.1016/j.ejor.2014.05.043
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    1. David Pisinger & Stefan Ropke, 2010. "Large Neighborhood Search," International Series in Operations Research & Management Science, in: Michel Gendreau & Jean-Yves Potvin (ed.), Handbook of Metaheuristics, chapter 0, pages 399-419, Springer.
    2. 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.
    3. G. Clarke & J. W. Wright, 1964. "Scheduling of Vehicles from a Central Depot to a Number of Delivery Points," Operations Research, INFORMS, vol. 12(4), pages 568-581, August.
    4. 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.
    5. Stefan Ropke & David Pisinger, 2006. "An Adaptive Large Neighborhood Search Heuristic for the Pickup and Delivery Problem with Time Windows," Transportation Science, INFORMS, vol. 40(4), pages 455-472, November.
    6. Peter Francis & Karen Smilowitz & Michal Tzur, 2006. "The Period Vehicle Routing Problem with Service Choice," Transportation Science, INFORMS, vol. 40(4), pages 439-454, November.
    7. Deniz Aksen & Necati Aras, 2006. "Customer Selection and Profit Maximization in Vehicle Routing Problems," Operations Research Proceedings, in: Hans-Dietrich Haasis & Herbert Kopfer & Jörn Schönberger (ed.), Operations Research Proceedings 2005, pages 37-42, Springer.
    8. Thibaut Vidal & Teodor Gabriel Crainic & Michel Gendreau & Nadia Lahrichi & Walter Rei, 2012. "A Hybrid Genetic Algorithm for Multidepot and Periodic Vehicle Routing Problems," Operations Research, INFORMS, vol. 60(3), pages 611-624, June.
    9. Belien, Jeroen & De Boeck, Liesje & Van Ackere, Jonas, 2011. "Municipal Solid Waste Collection Problems: A Literature Review," Working Papers 2011/34, Hogeschool-Universiteit Brussel, Faculteit Economie en Management.
    10. Gulczynski, Damon & Golden, Bruce & Wasil, Edward, 2011. "The period vehicle routing problem: New heuristics and real-world variants," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(5), pages 648-668, September.
    11. Teixeira, Joao & Antunes, Antonio Pais & de Sousa, Jorge Pinho, 2004. "Recyclable waste collection planning--a case study," European Journal of Operational Research, Elsevier, vol. 158(3), pages 543-554, November.
    12. Repoussis, P.P. & Paraskevopoulos, D.C. & Zobolas, G. & Tarantilis, C.D. & Ioannou, G., 2009. "A web-based decision support system for waste lube oils collection and recycling," European Journal of Operational Research, Elsevier, vol. 195(3), pages 676-700, June.
    13. 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.
    14. Tan, C.C.R. & Beasley, J.E., 1984. "A heuristic algorithm for the period vehicle routing problem," Omega, Elsevier, vol. 12(5), pages 497-504.
    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. Angelelli, Enrico & Grazia Speranza, Maria, 2002. "The periodic vehicle routing problem with intermediate facilities," European Journal of Operational Research, Elsevier, vol. 137(2), pages 233-247, March.
    17. S. Anily & A. Federgruen, 1990. "One Warehouse Multiple Retailer Systems with Vehicle Routing Costs," Management Science, INFORMS, vol. 36(1), pages 92-114, January.
    18. Roberto Baldacci & Enrico Bartolini & Aristide Mingozzi & Andrea Valletta, 2011. "An Exact Algorithm for the Period Routing Problem," Operations Research, INFORMS, vol. 59(1), pages 228-241, February.
    19. Zhang, Zizhen & Che, Oscar & Cheang, Brenda & Lim, Andrew & Qin, Hu, 2013. "A memetic algorithm for the multiperiod vehicle routing problem with profit," European Journal of Operational Research, Elsevier, vol. 229(3), pages 573-584.
    20. C Archetti & D Feillet & A Hertz & M G Speranza, 2009. "The capacitated team orienteering and profitable tour problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(6), pages 831-842, June.
    21. Yu, Yugang & Chen, Haoxun & Chu, Feng, 2008. "A new model and hybrid approach for large scale inventory routing problems," European Journal of Operational Research, Elsevier, vol. 189(3), pages 1022-1040, September.
    22. Leandro C. Coelho & Jean-François Cordeau & Gilbert Laporte, 2014. "Thirty Years of Inventory Routing," Transportation Science, INFORMS, vol. 48(1), pages 1-19, February.
    23. Claudia Archetti & Luca Bertazzi & Gilbert Laporte & Maria Grazia Speranza, 2007. "A Branch-and-Cut Algorithm for a Vendor-Managed Inventory-Routing Problem," Transportation Science, INFORMS, vol. 41(3), pages 382-391, August.
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