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Using mixed integer programming for solving the capacitated arc routing problem with vehicle/site dependencies with an application to the routing of residential sanitation collection vehicles

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  • John Sniezek
  • Lawrence Bodin

Abstract

We present the Composite Approach for solving the Capacitated Arc Routing Problem with Vehicle/Site Dependencies (CARP-VSD). We also present two mixed integer programs, the Initial Fleet Mix Generator (IFM) and the Mathematical Programming Procedure (MPP), and a multi-criterion function called the Measure of Goodness. The IFM, MPP and Measure of Goodness are critical components of the Composite Approach. A key application area of the CARP-VSD is the routing of residential sanitation vehicles; throughout this paper, we derive parameters specific to this problem. In this paper, we describe the Composite Approach, the IFM, the MPP, the Measure of Goodness and work out several examples in detail. Copyright Springer Science+Business Media, LLC 2006

Suggested Citation

  • John Sniezek & Lawrence Bodin, 2006. "Using mixed integer programming for solving the capacitated arc routing problem with vehicle/site dependencies with an application to the routing of residential sanitation collection vehicles," Annals of Operations Research, Springer, vol. 144(1), pages 33-58, April.
    • Handle: RePEc:spr:annopr:v:144:y:2006:i:1:p:33-58:10.1007/s10479-006-0006-y
    DOI: 10.1007/s10479-006-0006-y
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    References listed on IDEAS

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    1. H. A. Eiselt & Michel Gendreau & Gilbert Laporte, 1995. "Arc Routing Problems, Part II: The Rural Postman Problem," Operations Research, INFORMS, vol. 43(3), pages 399-414, June.
    2. Lawrence D. Bodin & Samuel J. Kursh, 1978. "A Computer-Assisted System for the Routing and Scheduling of Street Sweepers," Operations Research, INFORMS, vol. 26(4), pages 525-537, August.
    3. H. A. Eiselt & Michel Gendreau & Gilbert Laporte, 1995. "Arc Routing Problems, Part I: The Chinese Postman Problem," Operations Research, INFORMS, vol. 43(2), pages 231-242, April.
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    Cited by:

    1. Belien, Jeroen & De Boeck, Liesje & Van Ackere, Jonas, 2011. "Municipal Solid Waste Collection Problems: A Literature Review," Working Papers 2011/34, Hogeschool-Universiteit Brussel, Faculteit Economie en Management.
    2. Jeroen Beliën & Liesje De Boeck & Jonas Van Ackere, 2014. "Municipal Solid Waste Collection and Management Problems: A Literature Review," Transportation Science, INFORMS, vol. 48(1), pages 78-102, February.
    3. Erfan Babaee Tirkolaee & Alireza Goli & Selma Gütmen & Gerhard-Wilhelm Weber & Katarzyna Szwedzka, 2023. "A novel model for sustainable waste collection arc routing problem: Pareto-based algorithms," Annals of Operations Research, Springer, vol. 324(1), pages 189-214, May.
    4. Huang, Shan-Huen & Lin, Pei-Chun, 2015. "Vehicle routing–scheduling for municipal waste collection system under the “Keep Trash off the Ground” policy," Omega, Elsevier, vol. 55(C), pages 24-37.
    5. João L. V. Manguino & Débora P. Ronconi, 2022. "Step cost functions in a fleet size and mix vehicle routing problem with time windows," Annals of Operations Research, Springer, vol. 316(2), pages 1013-1038, September.

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    Keywords

    Mixed integer programs; Heuristic methods;

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