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Conflicting Interests in the Timing of Jobs

Author

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  • Ann Van Ackere

    (London Business School, Sussex Place, Regent's Park, London NW 1 4SA, United Kingdom)

Abstract

We study a situation where jobs of unknown duration (e.g., surgical procedures) are performed sequentially in a single facility (e.g., a hospital operating room). This facility can be any resource (material or human) that is in limited supply. Due to the uncertain duration of jobs, the time at which the facility will be available for the next job is unknown. Given the existing schedule, a starting time is selected for the next job. The scheduler's task is complicated because a job necessitates the presence of (at least) one individual (e.g., the surgeon), called the agent. We model this situation as a game between the scheduler and the agent. The scheduler trades off the cost associated with keeping the facility idle between jobs against the cost of keeping the agent waiting. The agent trades off his waiting cost against his lateness cost. We determine the conditions under which it is necessary for the scheduler to take the agent's behavior into account. We introduce moral hazard by assuming that the agent's arrival time is random and compare this to the case where the agent selects a deterministic arrival time.

Suggested Citation

  • Ann Van Ackere, 1990. "Conflicting Interests in the Timing of Jobs," Management Science, INFORMS, vol. 36(8), pages 970-984, August.
  • Handle: RePEc:inm:ormnsc:v:36:y:1990:i:8:p:970-984
    DOI: 10.1287/mnsc.36.8.970
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    Citations

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    Cited by:

    1. William S. Lovejoy & Ying Li, 2002. "Hospital Operating Room Capacity Expansion," Management Science, INFORMS, vol. 48(11), pages 1369-1387, November.
    2. van Ackere, Ann, 1996. "The management of congestion," European Journal of Operational Research, Elsevier, vol. 89(2), pages 223-225, March.
    3. Babad, Yair M. & Dada, Maqbool & Saharia, Aditya N., 1996. "An appointment-based service center with guaranteed service," European Journal of Operational Research, Elsevier, vol. 89(2), pages 246-258, March.

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