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Two-echelon vehicle routing problems: A literature review

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  • Sluijk, Natasja
  • Florio, Alexandre M.
  • Kinable, Joris
  • Dellaert, Nico
  • Van Woensel, Tom

Abstract

In the two-echelon vehicle routing problem (2E-VRP), the distribution network is split into two echelons. Different vehicles are operated on the first and second echelon to maintain economies of scale and adhere to any vehicle restrictions that may be present in either echelon. Intermediate facilities are located at the borders of the echelons to facilitate the consolidation and transshipment of goods between echelons. Examples of two-echelon distribution systems include express delivery, grocery and hypermarket products distribution, multi-modal freight transportation, city logistics, and e-commerce and home delivery services. In recent years, the body of literature on the 2E-VRP has expanded significantly. Over 60 research papers have appeared in the scientific literature so far, which underlines both the academic and practical relevance of 2E-VRPs. In this review, we structure and revise all literature on the 2E-VRP. Mathematical formulations, exact and heuristic solution methods, and benchmark datasets used to test and evaluate new algorithms are reviewed and discussed. This survey concludes with a selected list of open research areas on 2E-VRPs.

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  • Sluijk, Natasja & Florio, Alexandre M. & Kinable, Joris & Dellaert, Nico & Van Woensel, Tom, 2023. "Two-echelon vehicle routing problems: A literature review," European Journal of Operational Research, Elsevier, vol. 304(3), pages 865-886.
  • Handle: RePEc:eee:ejores:v:304:y:2023:i:3:p:865-886
    DOI: 10.1016/j.ejor.2022.02.022
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    1. Grangier, Philippe & Gendreau, Michel & Lehuédé, Fabien & Rousseau, Louis-Martin, 2016. "An adaptive large neighborhood search for the two-echelon multiple-trip vehicle routing problem with satellite synchronization," European Journal of Operational Research, Elsevier, vol. 254(1), pages 80-91.
    2. 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).
    3. 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.
    4. 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.
    5. Yu, Vincent F. & Jodiawan, Panca & Hou, Ming-Lu & Gunawan, Aldy, 2021. "Design of a two-echelon freight distribution system in last-mile logistics considering covering locations and occasional drivers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 154(C).
    6. Arjun Paul & Ravi Shankar Kumar & Chayanika Rout & Adrijit Goswami, 2021. "A bi-objective two-echelon pollution routing problem with simultaneous pickup and delivery under multiple time windows constraint," OPSEARCH, Springer;Operational Research Society of India, vol. 58(4), pages 962-993, December.
    7. Li, Hongqi & Liu, Yinying & Jian, Xiaorong & Lu, Yingrong, 2018. "The two-echelon distribution system considering the real-time transshipment capacity varying," Transportation Research Part B: Methodological, Elsevier, vol. 110(C), pages 239-260.
    8. Ran Liu & Yangyi Tao & Qiaoyu Hu & Xiaolei Xie, 2017. "Simulation-based optimisation approach for the stochastic two-echelon logistics problem," International Journal of Production Research, Taylor & Francis Journals, vol. 55(1), pages 187-201, January.
    9. Teodor Gabriel Crainic & Nicoletta Ricciardi & Giovanni Storchi, 2009. "Models for Evaluating and Planning City Logistics Systems," Transportation Science, INFORMS, vol. 43(4), pages 432-454, November.
    10. Zhang, Dali & Li, Dong & Sun, Hailin & Hou, Liwen, 2021. "A vehicle routing problem with distribution uncertainty in deadlines," European Journal of Operational Research, Elsevier, vol. 292(1), pages 311-326.
    11. 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.
    12. Parisa Dolati Neghabadi & Karine Evrard Samuel & Marie-Laure Espinouse, 2019. "Systematic literature review on city logistics: overview, classification and analysis," International Journal of Production Research, Taylor & Francis Journals, vol. 57(3), pages 865-887, February.
    13. Jacobsen, S. K. & Madsen, O. B. G., 1980. "A comparative study of heuristics for a two-level routing-location problem," European Journal of Operational Research, Elsevier, vol. 5(6), pages 378-387, December.
    14. Anderluh, Alexandra & Nolz, Pamela C. & Hemmelmayr, Vera C. & Crainic, Teodor Gabriel, 2021. "Multi-objective optimization of a two-echelon vehicle routing problem with vehicle synchronization and ‘grey zone’ customers arising in urban logistics," European Journal of Operational Research, Elsevier, vol. 289(3), pages 940-958.
    15. Li, Hongqi & Chen, Jun & Wang, Feilong & Bai, Ming, 2021. "Ground-vehicle and unmanned-aerial-vehicle routing problems from two-echelon scheme perspective: A review," European Journal of Operational Research, Elsevier, vol. 294(3), pages 1078-1095.
    16. Kangzhou Wang & Shulin Lan & Yingxue Zhao, 2017. "A genetic-algorithm-based approach to the two-echelon capacitated vehicle routing problem with stochastic demands in logistics service," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(11), pages 1409-1421, November.
    17. Nico Dellaert & Fardin Dashty Saridarq & Tom Van Woensel & Teodor Gabriel Crainic, 2019. "Branch-and-Price–Based Algorithms for the Two-Echelon Vehicle Routing Problem with Time Windows," Transportation Science, INFORMS, vol. 53(2), pages 463-479, March.
    18. Zheng-yang Zeng & Wei-sheng Xu & Zhi-yu Xu & Wei-hui Shao, 2014. "A Hybrid GRASP+VND Heuristic for the Two-Echelon Vehicle Routing Problem Arising in City Logistics," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-11, April.
    19. Darvish, Maryam & Archetti, Claudia & Coelho, Leandro C. & Speranza, M. Grazia, 2019. "Flexible two-echelon location routing problem," European Journal of Operational Research, Elsevier, vol. 277(3), pages 1124-1136.
    20. Liang Song & Hao Gu & Hejiao Huang, 2017. "A lower bound for the adaptive two-echelon capacitated vehicle routing problem," Journal of Combinatorial Optimization, Springer, vol. 33(4), pages 1145-1167, May.
    21. Schenekemberg, Cleder M. & Scarpin, Cassius T. & Pécora, José E. & Guimarães, Thiago A. & Coelho, Leandro C., 2021. "The two-echelon production-routing problem," European Journal of Operational Research, Elsevier, vol. 288(2), pages 436-449.
    22. Guido Perboli & Roberto Tadei & Daniele Vigo, 2011. "The Two-Echelon Capacitated Vehicle Routing Problem: Models and Math-Based Heuristics," Transportation Science, INFORMS, vol. 45(3), pages 364-380, August.
    23. Lurkin, Virginie & Hambuckers, Julien & van Woensel, Tom, 2021. "Urban low emissions zones: A behavioral operations management perspective," Transportation Research Part A: Policy and Practice, Elsevier, vol. 144(C), pages 222-240.
    24. Martin Savelsbergh & Tom Van Woensel, 2016. "50th Anniversary Invited Article—City Logistics: Challenges and Opportunities," Transportation Science, INFORMS, vol. 50(2), pages 579-590, May.
    25. Mühlbauer, Ferdinand & Fontaine, Pirmin, 2021. "A parallelised large neighbourhood search heuristic for the asymmetric two-echelon vehicle routing problem with swap containers for cargo-bicycles," European Journal of Operational Research, Elsevier, vol. 289(2), pages 742-757.
    26. Huang, Yixiao & Savelsbergh, Martin & Zhao, Lei, 2018. "Designing logistics systems for home delivery in densely populated urban areas," Transportation Research Part B: Methodological, Elsevier, vol. 115(C), pages 95-125.
    27. Parisa Dolati Neghabadi & Karine Evrard Samuel & Marie-Laure Espinouse, 2019. "Systematic literature review on city logistics: overview, classification and analysis," Post-Print hal-01983716, HAL.
    28. Roberto Baldacci & Aristide Mingozzi & Roberto Roberti, 2011. "New Route Relaxation and Pricing Strategies for the Vehicle Routing Problem," Operations Research, INFORMS, vol. 59(5), pages 1269-1283, October.
    29. Mads Jepsen & Simon Spoorendonk & Stefan Ropke, 2013. "A Branch-and-Cut Algorithm for the Symmetric Two-Echelon Capacitated Vehicle Routing Problem," Transportation Science, INFORMS, vol. 47(1), pages 23-37, February.
    30. G. Guastaroba & M. G. Speranza & D. Vigo, 2016. "Intermediate Facilities in Freight Transportation Planning: A Survey," Transportation Science, INFORMS, vol. 50(3), pages 763-789, August.
    31. Hatem Ben Amor & Jacques Desrosiers & José Manuel Valério de Carvalho, 2006. "Dual-Optimal Inequalities for Stabilized Column Generation," Operations Research, INFORMS, vol. 54(3), pages 454-463, June.
    32. Zhou, Lin & Baldacci, Roberto & Vigo, Daniele & Wang, Xu, 2018. "A Multi-Depot Two-Echelon Vehicle Routing Problem with Delivery Options Arising in the Last Mile Distribution," European Journal of Operational Research, Elsevier, vol. 265(2), pages 765-778.
    33. Roberto Baldacci & Aristide Mingozzi & Roberto Roberti & Roberto Wolfler Calvo, 2013. "An Exact Algorithm for the Two-Echelon Capacitated Vehicle Routing Problem," Operations Research, INFORMS, vol. 61(2), pages 298-314, April.
    34. Ann-Kathrin Rothenbächer & Michael Drexl & Stefan Irnich, 2018. "Branch-and-Price-and-Cut for the Truck-and-Trailer Routing Problem with Time Windows," Transportation Science, INFORMS, vol. 52(5), pages 1174-1190, October.
    35. Luciano Costa & Claudio Contardo & Guy Desaulniers, 2019. "Exact Branch-Price-and-Cut Algorithms for Vehicle Routing," Transportation Science, INFORMS, vol. 53(4), pages 946-985, July.
    36. Teodor Gabriel Crainic & Fausto Errico & Walter Rei & Nicoletta Ricciardi, 2016. "Modeling Demand Uncertainty in Two-Tier City Logistics Tactical Planning," Transportation Science, INFORMS, vol. 50(2), pages 559-578, May.
    37. Li, Hongqi & Wang, Haotian & Chen, Jun & Bai, Ming, 2021. "Two-echelon vehicle routing problem with satellite bi-synchronization," European Journal of Operational Research, Elsevier, vol. 288(3), pages 775-793.
    38. Liu, Tian & Luo, Zhixing & Qin, Hu & Lim, Andrew, 2018. "A branch-and-cut algorithm for the two-echelon capacitated vehicle routing problem with grouping constraints," European Journal of Operational Research, Elsevier, vol. 266(2), pages 487-497.
    39. Li, Hongqi & Zhang, Lu & Lv, Tan & Chang, Xinyu, 2016. "The two-echelon time-constrained vehicle routing problem in linehaul-delivery systems," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 169-188.
    40. Ziqi Wang & Peihan Wen, 2020. "Optimization of a Low-Carbon Two-Echelon Heterogeneous-Fleet Vehicle Routing for Cold Chain Logistics under Mixed Time Window," Sustainability, MDPI, vol. 12(5), pages 1-22, March.
    41. Jie, Wanchen & Yang, Jun & Zhang, Min & Huang, Yongxi, 2019. "The two-echelon capacitated electric vehicle routing problem with battery swapping stations: Formulation and efficient methodology," European Journal of Operational Research, Elsevier, vol. 272(3), pages 879-904.
    42. Nguyen, Viet-Phuong & Prins, Christian & Prodhon, Caroline, 2012. "Solving the two-echelon location routing problem by a GRASP reinforced by a learning process and path relinking," European Journal of Operational Research, Elsevier, vol. 216(1), pages 113-126.
    43. Fernando Afonso Santos & Geraldo Robson Mateus & Alexandre Salles da Cunha, 2015. "A Branch-and-Cut-and-Price Algorithm for the Two-Echelon Capacitated Vehicle Routing Problem," Transportation Science, INFORMS, vol. 49(2), pages 355-368, May.
    44. Alexandra Anderluh & Vera C. Hemmelmayr & Pamela C. Nolz, 2017. "Synchronizing vans and cargo bikes in a city distribution network," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 25(2), pages 345-376, June.
    45. Surendra Reddy Kancharla & Gitakrishnan Ramadurai, 2019. "Multi-depot Two-Echelon Fuel Minimizing Routing Problem with Heterogeneous Fleets: Model and Heuristic," Networks and Spatial Economics, Springer, vol. 19(3), pages 969-1005, September.
    46. Soysal, Mehmet & Bloemhof-Ruwaard, Jacqueline M. & Bektaş, Tolga, 2015. "The time-dependent two-echelon capacitated vehicle routing problem with environmental considerations," International Journal of Production Economics, Elsevier, vol. 164(C), pages 366-378.
    47. Jesus Gonzalez-Feliu & Guido Perboli & Roberto Tadei & Daniele Vigo, 2008. "The two-echelon capacitated vehicle routing problem," Working Papers halshs-00879447, HAL.
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    7. Zhou, Hang & Qin, Hu & Cheng, Chun & Rousseau, Louis-Martin, 2023. "An exact algorithm for the two-echelon vehicle routing problem with drones," Transportation Research Part B: Methodological, Elsevier, vol. 168(C), pages 124-150.
    8. Milovan Kovač & Snežana Tadić & Mladen Krstić & Miloš Veljović, 2023. "A Methodology for Planning City Logistics Concepts Based on City-Dry Port Micro-Consolidation Centres," Mathematics, MDPI, vol. 11(15), pages 1-21, July.
    9. Muriel, Juan E. & Zhang, Lele & Fransoo, Jan C. & Villegas, Juan G., 2024. "A reinforcement learning framework for improving parking decisions in last-mile delivery," Other publications TiSEM b3811dad-50fa-486b-8255-3, Tilburg University, School of Economics and Management.
    10. Yuxin Liu & Zihang Qin & Jin Liu, 2023. "An Improved Genetic Algorithm for the Granularity-Based Split Vehicle Routing Problem with Simultaneous Delivery and Pickup," Mathematics, MDPI, vol. 11(15), pages 1-15, July.

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