Infinite-server queues with system's additional tasks and impatient customers

@article{Altman2008InfiniteserverQW,
  title={Infinite-server queues with system's additional tasks and impatient customers},
  author={E. Altman and U. Yechiali},
  journal={Probability in the Engineering and Informational Sciences},
  year={2008},
  volume={22},
  pages={477-493}
}
  • E. Altman, U. Yechiali
  • Published 2008
  • Mathematics
  • Probability in the Engineering and Informational Sciences
A system is operating as an M/M/∞ queue. However, when it becomes empty, it is assigned to perform another task, the duration U of which is random. Customers arriving while the system is unavailable for service (i.e., occupied with a U-task) become impatient: Each individual activates an “impatience timer” having random duration T such that if the system does not become available by the time the timer expires, the customer leaves the system never to return. When the system completes a U-task… Expand
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