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A new approach on auxiliary vehicle assignment in capacitated location routing problem

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Listed:
  • Mahdi Bashiri
  • Zeinab Rasoulinejad
  • Ehsan Fallahzade

Abstract

The location routing problem (LRP) considers locating depots and vehicle routing decisions simultaneously. In classic LRP the number of customers in each route depends on the capacity of the vehicle. In this paper a capacitated LRP model with auxiliary vehicle assignment is presented in which the length of each route is not restricted by main vehicle capacity. Two kinds of vehicles are considered: main vehicles with higher capacity and fixed cost and auxiliary vehicles with lower capacity and fixed cost. The auxiliary vehicles can be added to the transportation system as an alternative strategy to cover the capacity limitations and they are just used to transfer goods from depots to vehicles and cannot serve the customers by themselves. To show the applicability of the proposed model, some numerical examples derived from the well-known instances are used. Moreover the model has been solved by some meta-heuristics for large sized instances. The results show the efficiency of the proposed model and the solution approach, considering the classic model and the exact solution approach, respectively.

Suggested Citation

  • Mahdi Bashiri & Zeinab Rasoulinejad & Ehsan Fallahzade, 2016. "A new approach on auxiliary vehicle assignment in capacitated location routing problem," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(4), pages 886-902, March.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:4:p:886-902
    DOI: 10.1080/00207721.2014.906770
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    1. Madsen, Oli B. G., 1983. "Methods for solving combined two level location-routing problems of realistic dimensions," European Journal of Operational Research, Elsevier, vol. 12(3), pages 295-301, March.
    2. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(1), pages 193-194, February.
    3. Watson-Gandy, CDT & Dohrn, PJ, 1973. "Depot location with van salesmen -- A practical approach," Omega, Elsevier, vol. 1(3), pages 321-329, June.
    4. Mina, Hokey & Jayaraman, Vaidyanathan & Srivastava, Rajesh, 1998. "Combined location-routing problems: A synthesis and future research directions," European Journal of Operational Research, Elsevier, vol. 108(1), pages 1-15, July.
    5. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(2), pages 541-545, April.
    6. Nagy, Gabor & Salhi, Said, 2007. "Location-routing: Issues, models and methods," European Journal of Operational Research, Elsevier, vol. 177(2), pages 649-672, March.
    7. Christian Prins & Caroline Prodhon & Angel Ruiz & Patrick Soriano & Roberto Wolfler Calvo, 2007. "Solving the Capacitated Location-Routing Problem by a Cooperative Lagrangean Relaxation-Granular Tabu Search Heuristic," Transportation Science, INFORMS, vol. 41(4), pages 470-483, November.
    8. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(4), pages 1007-1017, August.
    9. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(6), pages 1461-1465, December.
    10. Lin, Shih-Wei & Yu, Vincent F., 2012. "A simulated annealing heuristic for the team orienteering problem with time windows," European Journal of Operational Research, Elsevier, vol. 217(1), pages 94-107.
    11. Kulcar, Thierry, 1996. "Optimizing solid waste collection in Brussels," European Journal of Operational Research, Elsevier, vol. 90(1), pages 71-77, April.
    12. Salhi, Said & Rand, Graham K., 1989. "The effect of ignoring routes when locating depots," European Journal of Operational Research, Elsevier, vol. 39(2), pages 150-156, March.
    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. Lin, C.K.Y. & Kwok, R.C.W., 2006. "Multi-objective metaheuristics for a location-routing problem with multiple use of vehicles on real data and simulated data," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1833-1849, December.
    15. Tarantilis, C. D. & Kiranoudis, C. T. & Vassiliadis, V. S., 2004. "A threshold accepting metaheuristic for the heterogeneous fixed fleet vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 152(1), pages 148-158, January.
    16. Moshe Dror & Gilbert Laporte & Pierre Trudeau, 1989. "Vehicle Routing with Stochastic Demands: Properties and Solution Frameworks," Transportation Science, INFORMS, vol. 23(3), pages 166-176, August.
    17. Stenger, Andreas & Schneider, Michael & Schwind, Michael & Vigo, Daniele, 2012. "Location routing for small package shippers with subcontracting options," International Journal of Production Economics, Elsevier, vol. 140(2), pages 702-712.
    18. Seyed Mousavi & Seyed Niaki & Esmaeil Mehdizadeh & Mohammad Tavarroth, 2013. "The capacitated multi-facility location–allocation problem with probabilistic customer location and demand: two hybrid meta-heuristic algorithms," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(10), pages 1897-1912.
    19. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(5), pages 1273-1289, October.
    20. Hui-Ping Ho & Ching-Ter Chang & Cheng-Yuan Ku, 2013. "On the location selection problem using analytic hierarchy process and multi-choice goal programming," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(1), pages 94-108.
    21. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(3), pages 819-821, June.
    22. Stenger, A. & Schneider, M. & Schwind, M. & Vigo, D., 2012. "Location Routing for Small Package Shippers with Subcontracting Options," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 62387, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    23. Tuzun, Dilek & Burke, Laura I., 1999. "A two-phase tabu search approach to the location routing problem," European Journal of Operational Research, Elsevier, vol. 116(1), pages 87-99, July.
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