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District design for arc-routing applications

Author

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  • L Muyldermans

    (Centre for Industrial Management, Katholieke Universiteit Leuven, Celestijnenlaan 300A)

  • D Cattrysse

    (Centre for Industrial Management, Katholieke Universiteit Leuven, Celestijnenlaan 300A)

  • D Van Oudheusden

    (Centre for Industrial Management, Katholieke Universiteit Leuven, Celestijnenlaan 300A)

Abstract

In this paper we address the problem of district design for the organisation of arc-routing activities. In particular, the focus is on operations like winter gritting and road maintenance. The problem involves how to allocate the road network edges to a set of depots with given locations. The collection of edges assigned to a facility forms a district in which routes have to be designed that start and end at the facility. Apart from the ability to support good arc routing, well-designed districts for road-maintenance operations should have the road network to be serviced connected and should define clear geographical boundaries. We present three districting heuristics and evaluate the quality of the partitions by solving capacitated arc routing problems in the districts, and by comparing the solution values with a multi-depot CARP cutting plane lower bound. Our experiments reveal that based on global information about the distribution system (ie the number of facilities or districts, the average edge demand and the vehicle capacity) and by using simple guidelines, an adequate districting policy may be selected.

Suggested Citation

  • L Muyldermans & D Cattrysse & D Van Oudheusden, 2003. "District design for arc-routing applications," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(11), pages 1209-1221, November.
    • Handle: RePEc:pal:jorsoc:v:54:y:2003:i:11:d:10.1057_palgrave.jors.2601626
    DOI: 10.1057/palgrave.jors.2601626
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Pezzella, Ferdinando & Bonanno, Roberto & Nicoletti, Bernardo, 1981. "A system approach to the optimal health-care districting," European Journal of Operational Research, Elsevier, vol. 8(2), pages 139-146, October.
    4. Anuj Mehrotra & Ellis L. Johnson & George L. Nemhauser, 1998. "An Optimization Based Heuristic for Political Districting," Management Science, INFORMS, vol. 44(8), pages 1100-1114, August.
    5. Jacques A. Ferland & Gilles Guénette, 1990. "Decision Support System for the School Districting Problem," Operations Research, INFORMS, vol. 38(1), pages 15-21, February.
    6. David Simchi-Levi, 1992. "Hierarchical Planning for Probabilistic Distribution Systems in Euclidean Spaces," Management Science, INFORMS, vol. 38(2), pages 198-211, February.
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    Cited by:

    1. Perrier, Nathalie & Langevin, André & Campbell, James F., 2008. "The sector design and assignment problem for snow disposal operations," European Journal of Operational Research, Elsevier, vol. 189(2), pages 508-525, September.
    2. Constantino, Miguel & Gouveia, Luís & Mourão, Maria Cândida & Nunes, Ana Catarina, 2015. "The mixed capacitated arc routing problem with non-overlapping routes," European Journal of Operational Research, Elsevier, vol. 244(2), pages 445-456.
    3. Alexander Butsch & Jörg Kalcsics & Gilbert Laporte, 2014. "Districting for Arc Routing," INFORMS Journal on Computing, INFORMS, vol. 26(4), pages 809-824, November.
    4. Sandoval, M. Gabriela & Álvarez-Miranda, Eduardo & Pereira, Jordi & Ríos-Mercado, Roger Z. & Díaz, Juan A., 2022. "A novel districting design approach for on-time last-mile delivery: An application on an express postal company," Omega, Elsevier, vol. 113(C).
    5. T R P Ramos & R C Oliveira, 2011. "Delimitation of service areas in reverse logistics networks with multiple depots," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(7), pages 1198-1210, July.
    6. Cortinhal, Maria João & Mourão, Maria Cândida & Nunes, Ana Catarina, 2016. "Local search heuristics for sectoring routing in a household waste collection context," European Journal of Operational Research, Elsevier, vol. 255(1), pages 68-79.
    7. Mourão, Maria Cândida & Nunes, Ana Catarina & Prins, Christian, 2009. "Heuristic methods for the sectoring arc routing problem," European Journal of Operational Research, Elsevier, vol. 196(3), pages 856-868, August.

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