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The vehicle routing problem with backhauls towards a sustainability perspective: a review

Author

Listed:
  • Maria João Santos

    (University of Porto)

  • Pedro Amorim

    (University of Porto)

  • Alexandra Marques

    (INESC TEC-INESC Technology and Science)

  • Ana Carvalho

    (Instituto Superior Técnico (IST))

  • Ana Póvoa

    (Instituto Superior Técnico (IST))

Abstract

The vehicle routing problem with backhauls (VRPB) allows to integrate inbound and outbound routes, which is an efficient strategy to reduce routing costs and also to reduce the environmental and social impacts of transportation. In this paper, we analyze the VRPB literature with a sustainability perspective, which covers environmental and social objectives, collaborative networks and reverse logistics. First, to better understand and analyze the VRPB literature, all related works are characterized according to a common taxonomy provided for routing problems. This taxonomy is extended to differentiate between economic, environmental and social objectives. After identification of all VRPB papers that include sustainability issues, these are analyzed and discussed in more detail. The analysis reveals that research on VRPBs with sustainability concerns is recent and relatively scarce and the most popular aspects investigated are the minimization of fuel consumption and $$\hbox {CO}_{2}$$CO2 emissions. Future research lines driven by sustainability concerns are suggested for the VRPB as a promoter of green logistics.

Suggested Citation

  • Maria João Santos & Pedro Amorim & Alexandra Marques & Ana Carvalho & Ana Póvoa, 2020. "The vehicle routing problem with backhauls towards a sustainability perspective: a review," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(2), pages 358-401, July.
    • Handle: RePEc:spr:topjnl:v:28:y:2020:i:2:d:10.1007_s11750-019-00534-0
    DOI: 10.1007/s11750-019-00534-0
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    as
    1. Yu, Mingzhu & Qi, Xiangtong, 2014. "A vehicle routing problem with multiple overlapped batches," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 61(C), pages 40-55.
    2. Ubeda, S. & Arcelus, F.J. & Faulin, J., 2011. "Green logistics at Eroski: A case study," International Journal of Production Economics, Elsevier, vol. 131(1), pages 44-51, May.
    3. Bektas, Tolga & Laporte, Gilbert, 2011. "The Pollution-Routing Problem," Transportation Research Part B: Methodological, Elsevier, vol. 45(8), pages 1232-1250, September.
    4. Ropke, Stefan & Pisinger, David, 2006. "A unified heuristic for a large class of Vehicle Routing Problems with Backhauls," European Journal of Operational Research, Elsevier, vol. 171(3), pages 750-775, June.
    5. Niaz A. Wassan & Said Salhi & Gábor Nagy & Naveed Wassan & Anne C. Wade, 2013. "Solving the Mixed Backhauling Vehicle Routing: Problem with Ants," International Journal of Energy Optimization and Engineering (IJEOE), IGI Global, vol. 2(2), pages 62-77, April.
    6. J Dethloff, 2002. "Relation between vehicle routing problems: an insertion heuristic for the vehicle routing problem with simultaneous delivery and pick-up applied to the vehicle routing problem with backhauls," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(1), pages 115-118, January.
    7. Vidal, Thibaut & Crainic, Teodor Gabriel & Gendreau, Michel & Prins, Christian, 2014. "A unified solution framework for multi-attribute vehicle routing problems," European Journal of Operational Research, Elsevier, vol. 234(3), pages 658-673.
    8. Christos D. Tarantilis & Afroditi K. Anagnostopoulou & Panagiotis P. Repoussis, 2013. "Adaptive Path Relinking for Vehicle Routing and Scheduling Problems with Product Returns," Transportation Science, INFORMS, vol. 47(3), pages 356-379, August.
    9. Bortfeldt, Andreas & Hahn, Thomas & Männel, Dirk & Mönch, Lars, 2015. "Hybrid algorithms for the vehicle routing problem with clustered backhauls and 3D loading constraints," European Journal of Operational Research, Elsevier, vol. 243(1), pages 82-96.
    10. Michela Lai & Maria Battarra & Massimo Di Francesco & Paola Zuddas, 2015. "An adaptive guidance meta-heuristic for the vehicle routing problem with splits and clustered backhauls," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(7), pages 1222-1235, July.
    11. Meryem Berghida & Abdelmadjid Boukra, 2016. "Quantum Inspired Algorithm for a VRP with Heterogeneous Fleet Mixed Backhauls and Time Windows," International Journal of Applied Metaheuristic Computing (IJAMC), IGI Global, vol. 7(4), pages 18-38, October.
    12. Ganesh, K. & Narendran, T.T., 2007. "CLOVES: A cluster-and-search heuristic to solve the vehicle routing problem with delivery and pick-up," European Journal of Operational Research, Elsevier, vol. 178(3), pages 699-717, May.
    13. Peter Oberhofer & Maria Dieplinger, 2014. "Sustainability in the Transport and Logistics Sector: Lacking Environmental Measures," Business Strategy and the Environment, Wiley Blackwell, vol. 23(4), pages 236-253, May.
    14. G.Y. Tütüncü & B.M. Carreto Baker, 2009. "A visual interactive approach to the classical and mixed vehicle routing problems with backhauls," Post-Print hal-00581628, HAL.
    15. Éric Taillard & Philippe Badeau & Michel Gendreau & François Guertin & Jean-Yves Potvin, 1997. "A Tabu Search Heuristic for the Vehicle Routing Problem with Soft Time Windows," Transportation Science, INFORMS, vol. 31(2), pages 170-186, May.
    16. J-F Chen & T-H Wu, 2006. "Vehicle routing problem with simultaneous deliveries and pickups," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(5), pages 579-587, May.
    17. Paolo Toth & Daniele Vigo, 1997. "An Exact Algorithm for the Vehicle Routing Problem with Backhauls," Transportation Science, INFORMS, vol. 31(4), pages 372-385, November.
    18. Zhong, Yingjie & Cole, Michael H., 2005. "A vehicle routing problem with backhauls and time windows: a guided local search solution," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 41(2), pages 131-144, March.
    19. 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.
    20. Dominguez, Oscar & Guimarans, Daniel & Juan, Angel A. & de la Nuez, Ignacio, 2016. "A Biased-Randomised Large Neighbourhood Search for the two-dimensional Vehicle Routing Problem with Backhauls," European Journal of Operational Research, Elsevier, vol. 255(2), pages 442-462.
    21. Wade, A. C. & Salhi, S., 2002. "An investigation into a new class of vehicle routing problem with backhauls," Omega, Elsevier, vol. 30(6), pages 479-487, December.
    22. Hoff, Arild & Gribkovskaia, Irina & Laporte, Gilbert & Løkketangen, Arne, 2009. "Lasso solution strategies for the vehicle routing problem with pickups and deliveries," European Journal of Operational Research, Elsevier, vol. 192(3), pages 755-766, February.
    23. Demir, Emrah & Bektaş, Tolga & Laporte, Gilbert, 2014. "The bi-objective Pollution-Routing Problem," European Journal of Operational Research, Elsevier, vol. 232(3), pages 464-478.
    24. Zhu, Zhanguo & Chu, Feng & Sun, Linyan, 2010. "The capacitated plant location problem with customers and suppliers matching," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(3), pages 469-480, May.
    25. Palhazi Cuervo, Daniel & Goos, Peter & Sörensen, Kenneth & Arráiz, Emely, 2014. "An iterated local search algorithm for the vehicle routing problem with backhauls," European Journal of Operational Research, Elsevier, vol. 237(2), pages 454-464.
    26. Christophe Duhamel & Jean-Yves Potvin & Jean-Marc Rousseau, 1997. "A Tabu Search Heuristic for the Vehicle Routing Problem with Backhauls and Time Windows," Transportation Science, INFORMS, vol. 31(1), pages 49-59, February.
    27. Gansterer, Margaretha & Hartl, Richard F., 2018. "Collaborative vehicle routing: A survey," European Journal of Operational Research, Elsevier, vol. 268(1), pages 1-12.
    28. Gajpal, Yuvraj & Abad, P.L., 2009. "Multi-ant colony system (MACS) for a vehicle routing problem with backhauls," European Journal of Operational Research, Elsevier, vol. 196(1), pages 102-117, July.
    29. Yossiri Adulyasak & Patrick Jaillet, 2016. "Models and Algorithms for Stochastic and Robust Vehicle Routing with Deadlines," Transportation Science, INFORMS, vol. 50(2), pages 608-626, May.
    30. Michela Lai & Maria Battarra & Massimo Di Francesco & Paola Zuddas, 2015. "An adaptive guidance meta-heuristic for the vehicle routing problem with splits and clustered backhauls," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(7), pages 1236-1236, July.
    31. S Salhi & G Nagy, 1999. "A cluster insertion heuristic for single and multiple depot vehicle routing problems with backhauling," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(10), pages 1034-1042, October.
    32. Nagy, Gabor & Salhi, Said, 2005. "Heuristic algorithms for single and multiple depot vehicle routing problems with pickups and deliveries," European Journal of Operational Research, Elsevier, vol. 162(1), pages 126-141, April.
    33. Mauro Dell’Amico & Giovanni Righini & Matteo Salani, 2006. "A Branch-and-Price Approach to the Vehicle Routing Problem with Simultaneous Distribution and Collection," Transportation Science, INFORMS, vol. 40(2), pages 235-247, May.
    34. Zachariadis, Emmanouil E. & Tarantilis, Christos D. & Kiranoudis, Chris T., 2010. "An adaptive memory methodology for the vehicle routing problem with simultaneous pick-ups and deliveries," European Journal of Operational Research, Elsevier, vol. 202(2), pages 401-411, April.
    35. R Baldacci & E Bartolini & G Laporte, 2010. "Some applications of the generalized vehicle routing problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(7), pages 1072-1077, July.
    36. Candace Arai Yano & Thomas J. Chan & Lori Kaplan Richter & Theodore Cutler & Katta G. Murty & David McGettigan, 1987. "Vehicle Routing at Quality Stores," Interfaces, INFORMS, vol. 17(2), pages 52-63, April.
    37. Lai, Michela & Crainic, Teodor Gabriel & Di Francesco, Massimo & Zuddas, Paola, 2013. "An heuristic search for the routing of heterogeneous trucks with single and double container loads," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 56(C), pages 108-118.
    38. Goetschalckx, Marc & Jacobs-Blecha, Charlotte, 1989. "The vehicle routing problem with backhauls," European Journal of Operational Research, Elsevier, vol. 42(1), pages 39-51, September.
    39. Ulrike Ritzinger & Jakob Puchinger & Richard F. Hartl, 2016. "A survey on dynamic and stochastic vehicle routing problems," International Journal of Production Research, Taylor & Francis Journals, vol. 54(1), pages 215-231, January.
    40. Aristide Mingozzi & Simone Giorgi & Roberto Baldacci, 1999. "An Exact Method for the Vehicle Routing Problem with Backhauls," Transportation Science, INFORMS, vol. 33(3), pages 315-329, August.
    41. Salhi, Said & Wassan, Niaz & Hajarat, Mutaz, 2013. "The Fleet Size and Mix Vehicle Routing Problem with Backhauls: Formulation and Set Partitioning-based Heuristics," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 56(C), pages 22-35.
    42. Henriette Koch & Andreas Bortfeldt & Gerhard Wäscher, 2018. "A hybrid algorithm for the vehicle routing problem with backhauls, time windows and three-dimensional loading constraints," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 40(4), pages 1029-1075, October.
    43. Mosheiov, Gur, 1994. "The Travelling Salesman Problem with pick-up and delivery," European Journal of Operational Research, Elsevier, vol. 79(2), pages 299-310, December.
    44. Dirk Männel & Andreas Bortfeldt, 2015. "A Hybrid Algorithm for the Vehicle Routing Problem with Pickup and Delivery and 3D Loading Constraints," FEMM Working Papers 150015, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    45. J Crispim & J Brandão, 2005. "Metaheuristics applied to mixed and simultaneous extensions of vehicle routing problems with backhauls," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(11), pages 1296-1302, November.
    46. C Lee & K Lee & S Park, 2012. "Robust vehicle routing problem with deadlines and travel time/demand uncertainty," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(9), pages 1294-1306, September.
    47. Marc Reimann & Heinz Ulrich, 2006. "Comparing backhauling strategies in vehicle routing using Ant Colony Optimization," 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. 14(2), pages 105-123, June.
    48. Hertz, Alain & Widmer, Marino, 2003. "Guidelines for the use of meta-heuristics in combinatorial optimization," European Journal of Operational Research, Elsevier, vol. 151(2), pages 247-252, December.
    49. N Wassan, 2007. "Reactive tabu adaptive memory programming search for the vehicle routing problem with backhauls," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(12), pages 1630-1641, December.
    50. Chardy, Matthieu & Klopfenstein, Olivier, 2012. "Handling uncertainties in vehicle routing problems through data preprocessing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(3), pages 667-683.
    51. George Kontoravdis & Jonathan F. Bard, 1995. "A GRASP for the Vehicle Routing Problem with Time Windows," INFORMS Journal on Computing, INFORMS, vol. 7(1), pages 10-23, February.
    52. 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.
    53. Toth, Paolo & Vigo, Daniele, 1999. "A heuristic algorithm for the symmetric and asymmetric vehicle routing problems with backhauls," European Journal of Operational Research, Elsevier, vol. 113(3), pages 528-543, March.
    54. Demir, Emrah & Huang, Yuan & Scholts, Sebastiaan & Van Woensel, Tom, 2015. "A selected review on the negative externalities of the freight transportation: Modeling and pricing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 77(C), pages 95-114.
    55. Martine Labbé & Gilbert Laporte & Hélène Mercure, 1991. "Capacitated Vehicle Routing on Trees," Operations Research, INFORMS, vol. 39(4), pages 616-622, August.
    56. Gutiérrez-Jarpa, Gabriel & Desaulniers, Guy & Laporte, Gilbert & Marianov, Vladimir, 2010. "A branch-and-price algorithm for the Vehicle Routing Problem with Deliveries, Selective Pickups and Time Windows," European Journal of Operational Research, Elsevier, vol. 206(2), pages 341-349, October.
    57. Li, Xiangyong & Tian, Peng & Leung, Stephen C.H., 2010. "Vehicle routing problems with time windows and stochastic travel and service times: Models and algorithm," International Journal of Production Economics, Elsevier, vol. 125(1), pages 137-145, May.
    58. Reil, Sebastian & Bortfeldt, Andreas & Mönch, Lars, 2018. "Heuristics for vehicle routing problems with backhauls, time windows, and 3D loading constraints," European Journal of Operational Research, Elsevier, vol. 266(3), pages 877-894.
    59. Jinil Han & Chungmok Lee & Sungsoo Park, 2014. "A Robust Scenario Approach for the Vehicle Routing Problem with Uncertain Travel Times," Transportation Science, INFORMS, vol. 48(3), pages 373-390, August.
    60. Davis, Lauren B. & Sengul, Irem & Ivy, Julie S. & Brock, Luther G. & Miles, Lastella, 2014. "Scheduling food bank collections and deliveries to ensure food safety and improve access," Socio-Economic Planning Sciences, Elsevier, vol. 48(3), pages 175-188.
    61. YazgI Tütüncü, G. & Carreto, Carlos A.C. & Baker, Barrie M., 2009. "A visual interactive approach to classical and mixed vehicle routing problems with backhauls," Omega, Elsevier, vol. 37(1), pages 138-154, February.
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