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Optimal Path of a Single Service Unit on a Network to a “Nonemergency” Destination

Author

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  • Oded Berman

    (University of Calgary, Calgary, Alberta, Canada)

  • Mina Rasty Rahnama

    (University of Calgary, Calgary, Alberta, Canada)

Abstract

This paper focuses on the problem of finding the optimal travel path of a single service unit to nonemergency destinations. Such destinations result from events other than service calls, e.g., repositioning or relocation operations, returning from the scene of the service call to the “home location,” preventive patrol, etc. The analysis is performed on a network model of the urban environment. The time period of interest begins when the service unit starts its travel to a nonemergency destination and ends when the new call for service arrives. The paper contains two models each of which is suitable for a different application. For the two models two different algorithms are presented; one of which is a dynamic programming. These algorithms take into considerations the probabilistic nature of the demand for service. Illustrative examples are also included.

Suggested Citation

  • Oded Berman & Mina Rasty Rahnama, 1983. "Optimal Path of a Single Service Unit on a Network to a “Nonemergency” Destination," Transportation Science, INFORMS, vol. 17(2), pages 218-232, May.
    • Handle: RePEc:inm:ortrsc:v:17:y:1983:i:2:p:218-232
    DOI: 10.1287/trsc.17.2.218
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    Cited by:

    1. M S Daskin & K Hogan & C ReVelle, 1988. "Integration of Multiple, Excess, Backup, and Expected Covering Models," Environment and Planning B, , vol. 15(1), pages 15-35, March.
    2. Melkote, Sanjay & Daskin, Mark S., 2001. "Capacitated facility location/network design problems," European Journal of Operational Research, Elsevier, vol. 129(3), pages 481-495, March.
    3. Mesa, Juan A. & Brian Boffey, T., 1996. "A review of extensive facility location in networks," European Journal of Operational Research, Elsevier, vol. 95(3), pages 592-603, December.
    4. Ramesh Bollapragada & Uday S. Rao & Junying Wu, 2023. "Hub location–allocation for combined fixed-wireless and wireline broadband access networks," DECISION: Official Journal of the Indian Institute of Management Calcutta, Springer;Indian Institute of Management Calcutta, vol. 50(1), pages 115-128, March.

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