IDEAS home Printed from https://ideas.repec.org/a/eee/transe/v88y2016icp11-31.html
   My bibliography  Save this article

A multi-start heuristic approach for the split-delivery vehicle routing problem with minimum delivery amounts

Author

Listed:
  • Han, Anthony Fu-Wha
  • Chu, Yu-Ching

Abstract

We propose a new multi-start solution approach for the split-delivery vehicle routing problem with minimum delivery amounts (SDVRP-MDA). Initial solutions are generated by both node-insertion and route-addition procedures with a single parameter to control the restart. These solutions are then improved by a variable neighborhood descent metaheuristic with a novel search operator inspired by node-ejection chains. We test the proposed approach with 32 benchmark instances for four different minimum delivery fractions. Using the proposed algorithm, out of 128 cases tested, we find 81 best known solutions and 34 new best solutions; overall, we find 43 new best solutions.

Suggested Citation

  • Han, Anthony Fu-Wha & Chu, Yu-Ching, 2016. "A multi-start heuristic approach for the split-delivery vehicle routing problem with minimum delivery amounts," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 88(C), pages 11-31.
  • Handle: RePEc:eee:transe:v:88:y:2016:i:c:p:11-31
    DOI: 10.1016/j.tre.2016.01.014
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1366554515301447
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.tre.2016.01.014?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. J. M. Belenguer & M. C. Martinez & E. Mota, 2000. "A Lower Bound for the Split Delivery Vehicle Routing Problem," Operations Research, INFORMS, vol. 48(5), pages 801-810, October.
    2. Archetti, Claudia & Bianchessi, Nicola & Speranza, M. Grazia, 2014. "Branch-and-cut algorithms for the split delivery vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 238(3), pages 685-698.
    3. Gulczynski, Damon & Golden, Bruce & Wasil, Edward, 2010. "The split delivery vehicle routing problem with minimum delivery amounts," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(5), pages 612-626, September.
    4. S. Lin & B. W. Kernighan, 1973. "An Effective Heuristic Algorithm for the Traveling-Salesman Problem," Operations Research, INFORMS, vol. 21(2), pages 498-516, April.
    5. Chris Groër & Bruce Golden & Edward Wasil, 2011. "A Parallel Algorithm for the Vehicle Routing Problem," INFORMS Journal on Computing, INFORMS, vol. 23(2), pages 315-330, May.
    6. Archetti, Claudia & Savelsbergh, Martin W.P. & Grazia Speranza, M., 2008. "To split or not to split: That is the question," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(1), pages 114-123, January.
    7. Leonardo Berbotto & Sergio García & Francisco Nogales, 2014. "A Randomized Granular Tabu Search heuristic for the split delivery vehicle routing problem," Annals of Operations Research, Springer, vol. 222(1), pages 153-173, November.
    8. Jin, Mingzhou & Liu, Kai & Bowden, Royce O., 2007. "A two-stage algorithm with valid inequalities for the split delivery vehicle routing problem," International Journal of Production Economics, Elsevier, vol. 105(1), pages 228-242, January.
    9. U Derigs & B Li & U Vogel, 2010. "Local search-based metaheuristics for the split delivery vehicle routing problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(9), pages 1356-1364, September.
    10. Claudia Archetti & Martin W. P. Savelsbergh & M. Grazia Speranza, 2006. "Worst-Case Analysis for Split Delivery Vehicle Routing Problems," Transportation Science, INFORMS, vol. 40(2), pages 226-234, May.
    11. 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.
    12. Moshe Dror & Pierre Trudeau, 1989. "Savings by Split Delivery Routing," Transportation Science, INFORMS, vol. 23(2), pages 141-145, May.
    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. Yangkun Xia & Zhuo Fu & Sang-Bing Tsai & Jiangtao Wang, 2018. "A New TS Algorithm for Solving Low-Carbon Logistics Vehicle Routing Problem with Split Deliveries by Backpack—From a Green Operation Perspective," IJERPH, MDPI, vol. 15(5), pages 1-12, May.
    2. Yu, Qinxiao & Fang, Kan & Zhu, Ning & Ma, Shoufeng, 2019. "A matheuristic approach to the orienteering problem with service time dependent profits," European Journal of Operational Research, Elsevier, vol. 273(2), pages 488-503.
    3. Yu, Shaohua & Puchinger, Jakob & Sun, Shudong, 2020. "Two-echelon urban deliveries using autonomous vehicles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 141(C).
    4. Weikang Fang & Zailin Guan & Peiyue Su & Dan Luo & Linshan Ding & Lei Yue, 2022. "Multi-Objective Material Logistics Planning with Discrete Split Deliveries Using a Hybrid NSGA-II Algorithm," Mathematics, MDPI, vol. 10(16), pages 1-30, August.
    5. Annelieke C. Baller & Said Dabia & Wout E. H. Dullaert & Daniele Vigo, 2020. "The Vehicle Routing Problem with Partial Outsourcing," Transportation Science, INFORMS, vol. 54(4), pages 1034-1052, July.
    6. Sebastián Dávila & Miguel Alfaro & Guillermo Fuertes & Manuel Vargas & Mauricio Camargo, 2021. "Vehicle Routing Problem with Deadline and Stochastic Service Times: Case of the Ice Cream Industry in Santiago City of Chile," Mathematics, MDPI, vol. 9(21), pages 1-18, October.
    7. Yangkun Xia & Zhuo Fu & Lijun Pan & Fenghua Duan, 2018. "Tabu search algorithm for the distance-constrained vehicle routing problem with split deliveries by order," PLOS ONE, Public Library of Science, vol. 13(5), pages 1-19, May.
    8. Grigorios D. Konstantakopoulos & Sotiris P. Gayialis & Evripidis P. Kechagias, 2022. "Vehicle routing problem and related algorithms for logistics distribution: a literature review and classification," Operational Research, Springer, vol. 22(3), pages 2033-2062, July.
    9. Xiaxia Ma & Wenliang Bian & Wenchao Wei & Fei Wei, 2022. "Customer-Centric, Two-Product Split Delivery Vehicle Routing Problem under Consideration of Weighted Customer Waiting Time in Power Industry," Energies, MDPI, vol. 15(10), pages 1-23, May.
    10. Xu, Dongyang & Li, Kunpeng & Zou, Xuxia & Liu, Ling, 2017. "An unpaired pickup and delivery vehicle routing problem with multi-visit," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 103(C), pages 218-247.

    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. Jianli Shi & Jin Zhang & Kun Wang & Xin Fang, 2018. "Particle Swarm Optimization for Split Delivery Vehicle Routing Problem," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 35(02), pages 1-42, April.
    2. Salani, Matteo & Vacca, Ilaria, 2011. "Branch and price for the vehicle routing problem with discrete split deliveries and time windows," European Journal of Operational Research, Elsevier, vol. 213(3), pages 470-477, September.
    3. Gizem Ozbaygin & Oya Karasan & Hande Yaman, 2018. "New exact solution approaches for the split delivery vehicle routing problem," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 6(1), pages 85-115, March.
    4. Lin, Yen-Hung & Batta, Rajan & Rogerson, Peter A. & Blatt, Alan & Flanigan, Marie, 2011. "A logistics model for emergency supply of critical items in the aftermath of a disaster," Socio-Economic Planning Sciences, Elsevier, vol. 45(4), pages 132-145, December.
    5. Bortfeldt, Andreas & Yi, Junmin, 2020. "The Split Delivery Vehicle Routing Problem with three-dimensional loading constraints," European Journal of Operational Research, Elsevier, vol. 282(2), pages 545-558.
    6. Guy Desaulniers, 2010. "Branch-and-Price-and-Cut for the Split-Delivery Vehicle Routing Problem with Time Windows," Operations Research, INFORMS, vol. 58(1), pages 179-192, February.
    7. Nicola Bianchessi & Stefan Irnich, 2016. "Branch-and-Cut for the Split Delivery Vehicle Routing Problem with Time Windows," Working Papers 1620, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    8. Leonardo Berbotto & Sergio García & Francisco Nogales, 2014. "A Randomized Granular Tabu Search heuristic for the split delivery vehicle routing problem," Annals of Operations Research, Springer, vol. 222(1), pages 153-173, November.
    9. Zhuo Sun & Ni Yan & Yining Sun & Haobin Li, 2019. "Location-Routing Optimization with Split Demand for Customer Self-Pickup via Data Analysis and Heuristics Search," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 36(06), pages 1-24, December.
    10. 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.
    11. Berbotto, Leonardo & García, Sergio & Nogales, Francisco J., 2011. "A vehicle routing model with split delivery and stop nodes," DES - Working Papers. Statistics and Econometrics. WS ws110906, Universidad Carlos III de Madrid. Departamento de Estadística.
    12. C. Archetti & M. Bouchard & G. Desaulniers, 2011. "Enhanced Branch and Price and Cut for Vehicle Routing with Split Deliveries and Time Windows," Transportation Science, INFORMS, vol. 45(3), pages 285-298, August.
    13. Xu, Dongyang & Li, Kunpeng & Zou, Xuxia & Liu, Ling, 2017. "An unpaired pickup and delivery vehicle routing problem with multi-visit," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 103(C), pages 218-247.
    14. Pedro Munari & Martin Savelsbergh, 2020. "A Column Generation-Based Heuristic for the Split Delivery Vehicle Routing Problem with Time Windows," SN Operations Research Forum, Springer, vol. 1(4), pages 1-24, December.
    15. Chen, Qingfeng & Li, Kunpeng & Liu, Zhixue, 2014. "Model and algorithm for an unpaired pickup and delivery vehicle routing problem with split loads," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 69(C), pages 218-235.
    16. Yangkun Xia & Zhuo Fu & Sang-Bing Tsai & Jiangtao Wang, 2018. "A New TS Algorithm for Solving Low-Carbon Logistics Vehicle Routing Problem with Split Deliveries by Backpack—From a Green Operation Perspective," IJERPH, MDPI, vol. 15(5), pages 1-12, May.
    17. Hertz, Alain & Uldry, Marc & Widmer, Marino, 2012. "Integer linear programming models for a cement delivery problem," European Journal of Operational Research, Elsevier, vol. 222(3), pages 623-631.
    18. Cortes, Juan David & Suzuki, Yoshinori, 2020. "Vehicle Routing with Shipment Consolidation," International Journal of Production Economics, Elsevier, vol. 227(C).
    19. Salazar-González, Juan-José & Santos-Hernández, Beatriz, 2015. "The split-demand one-commodity pickup-and-delivery travelling salesman problem," Transportation Research Part B: Methodological, Elsevier, vol. 75(C), pages 58-73.
    20. Yangkun Xia & Zhuo Fu & Lijun Pan & Fenghua Duan, 2018. "Tabu search algorithm for the distance-constrained vehicle routing problem with split deliveries by order," PLOS ONE, Public Library of Science, vol. 13(5), pages 1-19, May.

    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:eee:transe:v:88:y:2016:i:c:p:11-31. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/600244/description#description .

    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.