Advertisement

A Recent Brief Survey for the Multi Depot Heterogenous Vehicle Routing Problem with Time Windows

  • Bochra Rabbouch
  • Rafaa Mraihi
  • Foued Saâdaoui
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 734)

Abstract

In this paper, we have presented a literature review on the recent publications concerning the Multi Depot Heterogenous Vehicle Routing Problem with Time Windows (MDHVRPTW) and its variants. As variants, we have described works tackling the Capacitated Vehicle Routing Problem (CVRP), the Vehicle Routing Problem with Time Windows (VRPTW), the Heterogenous Vehicle Routing Problem (HVRP) and the Multi Depot Vehicle Routing Problem (MDVRP). Up to 53 recent papers including approaches and methods were surveyed to state the art of this real-life vehicle routing problem.

Keywords

Vehicle routing problem Exact methods Heuristics Meta-heuristics CVRP VRPTW HVRP MDVRP MDHVRPTW Combinatorial optimization problem 

References

  1. 1.
    Afshar-Nadjafi, B., Afshar-Nadjafi, A.: Multi-depot time dependent vehicle routing problem with heterogeneous fleet and time windows. Int. J. Oper. Res. 26(1), 88–103 (2016)MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    Afshar-Nadjafi, B., Afshar-Nadjafi, A.: A constructive heuristic for time-dependent multi-depot vehicle routing problem with time-windows and heterogeneous fleet. J. King Saud Univ. Eng. Sci. 29(1), 29–34 (2017)zbMATHGoogle Scholar
  3. 3.
    Alzaqebah, M., Abdullah, S., Jawarneh, S.: Modified artificial bee colony for the vehicle routing problems with time windows. SpringerPlus 5(1), 1298 (2016)CrossRefGoogle Scholar
  4. 4.
    Bae, H., Moon, I.: Multi-depot vehicle routing problem with time windows considering delivery and installation vehicles. Appl. Math. Model. 40, 6536–6549 (2016)MathSciNetCrossRefGoogle Scholar
  5. 5.
    Baldacci, R., Battarra, M., Vigo, D.: Routing a heterogeneous fleet of vehicles. In: Golden, B., Raghavan, S., Wasil, E. (eds.) The Vehicle Routing Problem: Latest Advances and New Challenges. Springer, New York, pp. 3–27 (2008)Google Scholar
  6. 6.
    Berghida, M., Boukra, A.: Quantum inspired algorithm for a VRP with heterogeneous fleet mixed backhauls and time windows. Int. J. Appl. Metaheuristic Comput. 7(4), 18–38 (2016)CrossRefGoogle Scholar
  7. 7.
    Berov, T.D.: A vehicle routing planning system for goods distribution in urban areas using google maps and genetic algorithm. Int. J. Traffic Transp. Eng. 6(2), 159–167 (2016)CrossRefGoogle Scholar
  8. 8.
    Bettinelli, A., Ceselli, A., Righin, G.: A branch-and-cut-and-price algorithm for the multi-depot heterogeneous vehicle routing problem with time windows. Transp. Res. Part C 19, 723–740 (2011)CrossRefGoogle Scholar
  9. 9.
    Bouzid, M.C., Haddadene, H.A., Salhi, S.: An integration of lagrangian split and VNS: the case of the capacitated vehicle routing problem. Comput. Oper. Res. (2016)Google Scholar
  10. 10.
    Bräysy, O., Gendreau, M.: Vehicle routing problem with time windows, part I: route construction and local search algorithms. Transp. Sci. 39(1), 104–118 (2005)CrossRefGoogle Scholar
  11. 11.
    Bräysy, O., Gendreau, M.: Vehicle routing problem with time windows, part II: metaheuristics. Transp. Sci. 39(1), 119–139 (2005).  https://doi.org/10.1287/trsc.1030.0057
  12. 12.
    Calvet, L., Ferrer, A., Gomes, M.I., Juan, A.A., Masip, D.: Combining statistical learning with metaheuristics for the multi-depot vehicle routing problem with market segmentation. Comput. Ind. Eng. 94, 93–104 (2016)CrossRefGoogle Scholar
  13. 13.
    Cantu-Funes, R., Salazar-Aguilar, M.A., Boyer, V.: Multi-depot periodic vehicle routing problem with due dates and time windows. J. Oper. Res. Soc. (2017)Google Scholar
  14. 14.
    Clarke, G., Wright, J.W.: Scheduling of vehicles from central depot to number of delivery points. Oper. Res. 12(4), 568–581 (1964)CrossRefGoogle Scholar
  15. 15.
    Cooray, P.L.N.U., Rupasinghe, T.D.: Machine learning-based parameter tuned genetic algorithm for energy minimizing vehicle routing problem. J. Ind. Eng. (2017)Google Scholar
  16. 16.
    Dantzig, G., Ramser, J.: The truck dispatching problem. Manage. Sci. 6(1), 80–91 (1959)MathSciNetCrossRefzbMATHGoogle Scholar
  17. 17.
    Dayarian, I., Crainic, T.G., Gendreau, M., Rei, W.: A column generation approach for a multi-attribute vehicle routing problem. Eur. J. Oper. Res. 241(3), 888–906 (2015)MathSciNetCrossRefzbMATHGoogle Scholar
  18. 18.
    Dondo, R.G., Cerdá, J.: A reactive MILP approach to the multidepot heterogeneous fleet vehicle routing problem with time windows. Int. Trans. Oper. Res. 13, 441–459 (2006)CrossRefzbMATHGoogle Scholar
  19. 19.
    Dondo, R.G., Cerdá, J.: A cluster-based optimization approach for the multidepot heterogeneous fleet vehicle routing problem with time windows. Eur. J. Oper. Res. 176(3), 1478–1507 (2007)CrossRefzbMATHGoogle Scholar
  20. 20.
    Dondo, R.G., Cerdá, J.: A hybrid local improvement algorithm for largescale multi-depot vehicle routing problems with time windows. Comput. Chem. Eng. 33(2), 513–530 (2009)CrossRefGoogle Scholar
  21. 21.
    Golden, B., Magnanti, L., Nguyan, H.: Implementing vehicle routing algorithms. Networks 7(2), 113–148 (1972)CrossRefzbMATHGoogle Scholar
  22. 22.
    Golden, B., Assad, A., Levy, L., Gheysens, F.: The fleet size and mix vehicle routing problem. Comput. OR 11(1), 49–66 (1984)CrossRefzbMATHGoogle Scholar
  23. 23.
    Gruler, A., Fikar, C., Juan, A.A., Hirsch, P., Contreras-Bolton, J.: Supporting multi-depot and stochastic waste collection management in clustered urban areas via simulation optimization. J. Simul. 11(1), 11–19 (2017)CrossRefGoogle Scholar
  24. 24.
    Holland, J.H.: Adaptation in natural and artificial systems. MIT Press (1975)Google Scholar
  25. 25.
    Hosseinabadi, A.A.R., Rostami, N.S.H., Kardgar, M., Mirkamali, S., Abraham,A.: A new efficient approach for solving the capacitated vehicle routing problem using the gravitational emulation local search algorithm. Appl. Math. Model. (2017)Google Scholar
  26. 26.
    Karakati\({\rm \breve{c}}\), S., Podgorelec, V.: A survey of genetic algorithms for solving multi depot vehicle routing problem. Appl. Soft Comput. 27, 519–532 (2015)Google Scholar
  27. 27.
    Kır, S., Yazgan, H.R., Tüncel, E.: A novel heuristic algorithm for capacitated vehicle routing problem. J. Ind. Eng. Int. (2017)Google Scholar
  28. 28.
    Kirci, P.: An optimization algorithm for a capacitated vehicle routing problem with time windows. S\({\rm \bar{a}}\)dhan\({\rm \bar{a}}\) 41, 519 (2016)Google Scholar
  29. 29.
    Kochetov, Y.A., Khmelev, A.V.J.: A hybrid algorithm of local search for the heterogeneous fixed fleet vehicle routing problem. J. Appl. Ind. Math. 9, 503–518 (2015)MathSciNetCrossRefzbMATHGoogle Scholar
  30. 30.
    Kramer, R.H.F.R., Subramanian, A., Penna, P.H.V.: Asymmetric vehicle routing problem with heterogeneous limited fleet: a case study in a beverage industry. Gest\({\rm \breve{a}}\)o & Produ\({\rm \breve{a}}\)o 23(1), 165–176 (2016)Google Scholar
  31. 31.
    Kumar, S.N., Panneerselvam, R.: A survey on the vehicle routing problem and its variants. Intell. Inf. Manage. 4(3), 66 (2012)Google Scholar
  32. 32.
    Laporte, G., Nobert, Y., Arpin, D.: Optimal solutions to capacitated multidepot vehicle routing problems. Congressus Numerantiwn 44, 283–292 (1984)MathSciNetzbMATHGoogle Scholar
  33. 33.
    Mathelinea, D., Mawengkang, H.: A capacitated heterogeneous vehicle routing problem for catering service delivery with committed scheduled time. Int. J. Recent Innov. Trends Comput. Commun. 4(2), 085–088 (2016)Google Scholar
  34. 34.
    Mirmohammadi, S.H., Babaee Tirkolaee, E., Goli, A., Dehnavi, S.: The periodic green vehicle routing problem with considering of time-dependant urban traffic and time windows. Int. J. Optim. Civil Eng. 7(1), 143–156 (2017)Google Scholar
  35. 35.
    Montoya-Torres, J.R., Franco, J.L., Isaza, S.N., Felizzola Jimnez, H., Herazo-Padilla, N.: A literature review on the vehicle routing problem with multiple depots. Comput. Ind. Eng. 79, 115–129 (2015)CrossRefGoogle Scholar
  36. 36.
    Oliveira, F.B., Enayatifar, R., Sadaeia, H.J., Guimarães, F.G., Potvin, Y.J.: A cooperative coevolutionary algorithm for the multi-depot vehicle routing problem. Exp. Syst. Appl. 43, 117–130 (2016)Google Scholar
  37. 37.
    Pecin, D., Pessoa, A., Poggi, M., Uchoa, E.: Improved branch-cut-and- price for capacitated vehicle routing. Math. Program. Comput. (2016),  https://doi.org/10.1007/s12532-016-0108-8
  38. 38.
    Potvin, J.Y., Bengio, S.: The vehicle routing problem with time windows - part II: genetic search. INFORMS J. Comput. 8, 165–172 (1996)CrossRefzbMATHGoogle Scholar
  39. 39.
    Reinhardt, L.B., Jepsen, M.K., Pisinger, D.: The edge set cost of the vehicle routing problem with time windows. Transp. Sci. 50(2), 694–707 (2016)CrossRefGoogle Scholar
  40. 40.
    Simi\({\rm \acute{c}}\), D., Kova\({\rm \breve{c}}\)evi\({\rm \acute{c}}\), I., Svir\({\rm \breve{c}}\)evi\({\rm \acute{c}}\), V., Simi\({\rm \acute{c}}\), S.: Hybrid firefly model in routing heterogeneous fleet of vehicles in logistics distribution. Logic J. IGPL 23(3), 521–532 (2015)Google Scholar
  41. 41.
    Solomon, M.M., Desrosiers, J.: Time windows constrained routing and scheduling problems. Transp. Sci. 22, 1–13 (1987)MathSciNetCrossRefzbMATHGoogle Scholar
  42. 42.
    Solomon, M.M.: Algorithms for the vehicle routing and scheduling problems with time window constraints. Oper. Res. (1987)Google Scholar
  43. 43.
    Teymourian, E., Kayvanfar, V., Komaki, G.H.M., Zandieh, M.: Enhanced intelligent water drops and cuckoo search algorithms for solving the capacitated vehicle routing problem. Inf. Sci. 334–335, 354–378 (2016)CrossRefGoogle Scholar
  44. 44.
    Toth, P., Vigo, D.: Vehicle Routing : Problems, Methods and Aapplications. MOS-Siam Series on Optimization, 2nd edn. SIAM, Philadelphia (2014)CrossRefzbMATHGoogle Scholar
  45. 45.
    Uchoa, E., Pecin, D., Pessoa, A., Poggi, M., Vidal, T., Subramanian, A.: New benchmark instances for the capacitated vehicle routing problem. Eur. J. Oper. Res. 257(3), 845–858 (2016)MathSciNetCrossRefGoogle Scholar
  46. 46.
    Wang, X., Choi, T.M., Liu, H., Yue, X.: A novel hybrid ant colony optimization algorithm for emergency transportation problems during post-disaster scenarios. IEEE Trans. Syst. Man Cybern. Syst. (2016)Google Scholar
  47. 47.
    Xu, Y., Jiang, W.: An improved variable neighborhood search algorithm for multi depot heterogeneous vehicle routing problem based on hybrid operators. Int. J. Control Autom. 7(3), 299–316 (2014)CrossRefGoogle Scholar
  48. 48.
    Xu, Y., Wang, L., Yang, Y.: A new variable neighborhood search algorithm for the multi depot heterogeneous vehicle routing problem with time windows. Electron. Notes Disc. Math. 39, 289–296 (2012)CrossRefzbMATHGoogle Scholar
  49. 49.
    Yalian, T.: An improved ant colony optimization for multi-depot vehicle routing problem. Int. J. Eng. Technol. 8(5), 385–388 (2016)CrossRefGoogle Scholar
  50. 50.
    Yang, Y., Xu, Y., Wang, L.: Study on multi depot heterogeneous vehicle routing problem with an improved variable neighborhood search algorithm. Inf. Technol. J. 12(23), 7137–7142 (2013)CrossRefGoogle Scholar
  51. 51.
    Yang, Z., van Osta, J.P., van Veen, B., van Krevelen, R., van Klaveren, R., Stam, A., Kok, J., B\({\rm \ddot{a}}\)ck, T., Emmerich, M.: Dynamic vehicle routing with time windows in theory and practice. Nat. Comput. 16(1), 119–134 (2017)Google Scholar
  52. 52.
    Yousefikhoshbakht, M., Dolatnejad, A., Didehvar, F., Rahmati, F.: A modified column generation to solve the heterogeneous fixed fleet open vehicle routing problem. J. Eng. (2016)Google Scholar
  53. 53.
    Zibaei, S., Hafezalkotob, A., Ghashami, S.S.: Cooperative vehicle routing problem: an opportunity for cost saving. J. Ind. Eng. Int. 12, 271–286 (2016)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Bochra Rabbouch
    • 1
  • Rafaa Mraihi
    • 2
  • Foued Saâdaoui
    • 3
  1. 1.Institut Supérieur de Gestion de TunisUniversité de TunisTunisTunisia
  2. 2.Ecole Supérieure de Commerce de TunisUniversité de MannoubaManoubaTunisia
  3. 3.Institut des Hautes Etudes Commerciales (IHEC)Université de SousseSousseTunisia

Personalised recommendations