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International Symposium on Combinatorial Optimization

ISCO 2020: Combinatorial Optimization pp 286–296Cite as

Solving a Real-World Multi-attribute VRP Using a Primal-Based Approach

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12176))

Abstract

Through this paper we focus on a real-life combinatorial problem arising in emergent logistics and transportation field. The main objective is to solve a realistic multi-attribute rich Vehicle Routing Problem using a primal-based algorithm embedded in column generation framework. The mathematical model is formulated as a Set Partitioning Problem (SPP) while the subproblem is the shortest path problem with resource constraints (SPPRC). The numerical study was carried out on real instances reaching 140 customers. The successful results show the effectiveness of the method, and highlight its interest.

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References

  1. Dantzig, G.B., Ramser, J.H.: Manag. Sci. 6(1), 80 (1959)

    Article  Google Scholar 

  2. Clarke, G.U., Wright, J.W.: Oper. Res. 12(4), 568 (1964)

    Article  Google Scholar 

  3. Coelho, L.C., Renaud, J., Laporte, G.: Road-based goods transportation: a survey of real-world applications from 2000 to 2015. Technical report, FSA-2015-007, Québec, Canada (2015)

    Google Scholar 

  4. Toth, P., Vigo, D.: Vehicle Routing: Problems, Methods, and Applications, vol. 18. SIAM (2014)

    Google Scholar 

  5. Lenstra, J.K., Kan, A.H.G.: Networks 11(2), 221 (1981)

    Article  Google Scholar 

  6. Letchford, A.N., Lodi, A.: Math. Methods Oper. Res. 56(1), 67 (2002)

    Article  MathSciNet  Google Scholar 

  7. Vanderbeck, F.: Implementing mixed integer column generation. In: Desaulniers, G., Desrosiers, J., Solomon, M.M. (eds.) Column Generation, pp. 331–358. Springer, Boston (2005). https://doi.org/10.1007/0-387-25486-2_12

    Chapter  MATH  Google Scholar 

  8. Lübbecke, M.E., Desrosiers, J.: Oper. Res. 53(6), 1007 (2005)

    Article  MathSciNet  Google Scholar 

  9. Irnich, S., Desaulniers, G.: Shortest path problems with resource constraints. In: Desaulniers, G., Desrosiers, J., Solomon, M.M. (eds.) Column Generation, pp. 33–65. Springer, Boston (2005). https://doi.org/10.1007/0-387-25486-2_2

    Chapter  Google Scholar 

  10. Desrochers, M., Soumis, F.: INFOR: Inf. Syst. Oper. Res. 26(3), 191 (1988)

    Google Scholar 

  11. Ben-Israel, A., Charnes, A.: J. Soc. Ind. Appl. Math. 11(3), 667 (1963)

    Article  Google Scholar 

  12. Young, R.D.: Oper. Res. 16(4), 750 (1968)

    Article  Google Scholar 

  13. Thompson, G.L.: Comput. Optim. Appl. 22(3), 351 (2002)

    Article  MathSciNet  Google Scholar 

  14. Rönnberg, E., Larsson, T.: Eur. J. Oper. Res. 192(1), 333 (2009)

    Article  Google Scholar 

  15. Zaghrouti, A., Soumis, F., El Hallaoui, I.: Oper. Res. 62(2), 435 (2014)

    Article  MathSciNet  Google Scholar 

  16. Elhallaoui, I., Metrane, A., Desaulniers, G., Soumis, F.: INFORMS J. Comput. 23(4), 569 (2011)

    Article  MathSciNet  Google Scholar 

  17. Rosat, S., Elhallaoui, I., Soumis, F., Lodi, A.: Integral simplex using decomposition with primal cuts. In: Gudmundsson, J., Katajainen, J. (eds.) SEA 2014. LNCS, vol. 8504, pp. 22–33. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-07959-2_3

    Chapter  Google Scholar 

  18. Zaghrouti, A., El Hallaoui, I., Soumis, F.: Annals of Operations Research (2018). https://doi.org/10.1007/s10479-018-2868-1

  19. Tahir, A., Desaulniers, G., El Hallaoui, I.: EURO J. Transp. Logist. 1–32 (2018)

    Google Scholar 

  20. Feillet, D., Dejax, P., Gendreau, M., Gueguen, C.: Networks 44(3), 216 (2004)

    Article  MathSciNet  Google Scholar 

  21. Trubin, V.: Soviet Mathematics Doklady, vol. 10, pp. 1544–1546 (1969)

    Google Scholar 

  22. Joncour, C., Michel, S., Sadykov, R., Sverdlov, D., Vanderbeck, F.: Electron. Notes Discret. Math. 36, 695 (2010)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematics and Industrial Engineering Department, Polytechnique Montréal, Montréal, QC, H3C 3A7, Canada

    Mayssoun Messaoudi, Issmail El Hallaoui, Louis-Martin Rousseau & Adil Tahir

  2. Interuniversity Research Centre on Enterprise Networks, Logistics and Transportation (CIRRELT), Montréal, QC, H3C 3A7, Canada

    Louis-Martin Rousseau

  3. Group for Research in Decision Analysis (GERAD), Montréal, QC, H3C 3A7, Canada

    Mayssoun Messaoudi, Issmail El Hallaoui & Adil Tahir

Authors
  1. Mayssoun Messaoudi
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  2. Issmail El Hallaoui
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  3. Louis-Martin Rousseau
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  4. Adil Tahir
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Corresponding author

Correspondence to Mayssoun Messaoudi .

Editor information

Editors and Affiliations

  1. CNRS and Université Clermont Auvergne, Aubière, France

    Mourad Baïou

  2. Département d'informatique et de recherche opérationnelle & CIRRELT, University of Montreal, Montréal, QC, Canada

    Bernard Gendron

  3. School of Operations Research and Information Engineering, Cornell University, Ithaca, NY, USA

    Oktay Günlük

  4. Laboratoire LAMSADE, Université Paris-Dauphine, Paris, France

    A. Ridha Mahjoub

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Messaoudi, M., El Hallaoui, I., Rousseau, LM., Tahir, A. (2020). Solving a Real-World Multi-attribute VRP Using a Primal-Based Approach. In: Baïou, M., Gendron, B., Günlük, O., Mahjoub, A.R. (eds) Combinatorial Optimization. ISCO 2020. Lecture Notes in Computer Science(), vol 12176. Springer, Cham. https://doi.org/10.1007/978-3-030-53262-8_24

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  • DOI: https://doi.org/10.1007/978-3-030-53262-8_24

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-53261-1

  • Online ISBN: 978-3-030-53262-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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