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Scheduling of Toll Collectors

Author

Listed:
  • J. L. Byrne

    (University of Adelaide, Adelaide, South Australia)

  • R. B. Potts

    (University of Adelaide, Adelaide, South Australia)

Abstract

The problem of rostering toll collectors for a toll facility such as a bridge, tunnel, or expressway is formulated as an integer program. The working regulations for full-time and part-time shifts give special structure to the program. An eight phase algorithm is described that exploits this special structure and enables variables to be grouped together and the integer constraints successively introduced. The algorithm has been tested for a wide variety of practical schedule problems and has proved successful in obtaining acceptable schedules in comparatively short computer run times.

Suggested Citation

  • J. L. Byrne & R. B. Potts, 1973. "Scheduling of Toll Collectors," Transportation Science, INFORMS, vol. 7(3), pages 224-245, August.
    • Handle: RePEc:inm:ortrsc:v:7:y:1973:i:3:p:224-245
    DOI: 10.1287/trsc.7.3.224
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    Cited by:

    1. Michael J. Brusco & Larry W. Jacobs, 1998. "Personnel Tour Scheduling When Starting-Time Restrictions Are Present," Management Science, INFORMS, vol. 44(4), pages 534-547, April.
    2. Brusco, Michael J. & Jacobs, Larry W., 1998. "Eliminating redundant columns in continuous tour scheduling problems," European Journal of Operational Research, Elsevier, vol. 111(3), pages 518-525, December.
    3. Brusco, Michael J. & Jacobs, Larry W., 1995. "Cost analysis of alternative formulations for personnel scheduling in continuously operating organizations," European Journal of Operational Research, Elsevier, vol. 86(2), pages 249-261, October.

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