IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v144y2006i1p33-5810.1007-s10479-006-0006-y.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-006-0006-y
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10479-006-0006-y?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Korteweg, Peter & Volgenant, Ton, 2006. "On the Hierarchical Chinese Postman Problem with linear ordered classes," European Journal of Operational Research, Elsevier, vol. 169(1), pages 41-52, February.
    2. Arbib, Claudio & Servilio, Mara & Archetti, Claudia & Speranza, M. Grazia, 2014. "The directed profitable location Rural Postman Problem," European Journal of Operational Research, Elsevier, vol. 236(3), pages 811-819.
    3. Akbari, Vahid & Salman, F. Sibel, 2017. "Multi-vehicle synchronized arc routing problem to restore post-disaster network connectivity," European Journal of Operational Research, Elsevier, vol. 257(2), pages 625-640.
    4. Barbara De Rosa & Gennaro Improta & Gianpaolo Ghiani & Roberto Musmanno, 2002. "The Arc Routing and Scheduling Problem with Transshipment," Transportation Science, INFORMS, vol. 36(3), pages 301-313, August.
    5. Ghiani, Gianpaolo & Improta, Gennaro, 2000. "An efficient transformation of the generalized vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 122(1), pages 11-17, April.
    6. Angel Corberán & Gustavo Mejía & José M. Sanchis, 2005. "New Results on the Mixed General Routing Problem," Operations Research, INFORMS, vol. 53(2), pages 363-376, April.
    7. Jesica Armas & Peter Keenan & Angel A. Juan & Seán McGarraghy, 2019. "Solving large-scale time capacitated arc routing problems: from real-time heuristics to metaheuristics," Annals of Operations Research, Springer, vol. 273(1), pages 135-162, February.
    8. Chefi Triki, 2017. "Solving the Periodic Edge Routing Problem in the Municipal Waste Collection," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(03), pages 1-13, June.
    9. Luc Muyldermans & Patrick Beullens & Dirk Cattrysse & Dirk Van Oudheusden, 2005. "Exploring Variants of 2-Opt and 3-Opt for the General Routing Problem," Operations Research, INFORMS, vol. 53(6), pages 982-995, December.
    10. Fung, Richard Y.K. & Liu, Ran & Jiang, Zhibin, 2013. "A memetic algorithm for the open capacitated arc routing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 50(C), pages 53-67.
    11. Yuhui Sun & Wei Yu & Zhaohui Liu, 2023. "Approximation algorithms for some min–max and minimum stacker crane cover problems," Journal of Combinatorial Optimization, Springer, vol. 45(1), pages 1-25, January.
    12. Li, Jiliu & Qin, Hu & Shen, Huaxiao & Tsui, Kwok Leung, 2019. "The unilateral transportation problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 132(C), pages 1-29.
    13. Muyldermans, L. & Cattrysse, D. & Van Oudheusden, D. & Lotan, T., 2002. "Districting for salt spreading operations," European Journal of Operational Research, Elsevier, vol. 139(3), pages 521-532, June.
    14. Gilbert Laporte & Roberto Musmanno & Francesca Vocaturo, 2010. "An Adaptive Large Neighbourhood Search Heuristic for the Capacitated Arc-Routing Problem with Stochastic Demands," Transportation Science, INFORMS, vol. 44(1), pages 125-135, February.
    15. Letchford, Adam N., 1999. "The general routing polyhedron: A unifying framework," European Journal of Operational Research, Elsevier, vol. 112(1), pages 122-133, January.
    16. Tagmouti, Mariam & Gendreau, Michel & Potvin, Jean-Yves, 2007. "Arc routing problems with time-dependent service costs," European Journal of Operational Research, Elsevier, vol. 181(1), pages 30-39, August.
    17. Beullens, Patrick & Muyldermans, Luc & Cattrysse, Dirk & Van Oudheusden, Dirk, 2003. "A guided local search heuristic for the capacitated arc routing problem," European Journal of Operational Research, Elsevier, vol. 147(3), pages 629-643, June.
    18. Letchford, Adam N., 1997. "New inequalities for the General Routing Problem," European Journal of Operational Research, Elsevier, vol. 96(2), pages 317-322, January.
    19. Letchford, A.N. & Eglese, R.W., 1998. "The rural postman problem with deadline classes," European Journal of Operational Research, Elsevier, vol. 105(3), pages 390-400, March.
    20. Corberan, A. & Sanchis, J. M., 1998. "The general routing problem polyhedron: Facets from the RPP and GTSP polyhedra," European Journal of Operational Research, Elsevier, vol. 108(3), pages 538-550, August.

    More about this item

    Keywords

    Mixed integer programs; Heuristic methods;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:annopr:v:144:y:2006:i:1:p:33-58:10.1007/s10479-006-0006-y. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.