Generalized Erlang Problem for Service Systems with Finite Total Capacity

@article{Tikhonenko2005GeneralizedEP,
  title={Generalized Erlang Problem for Service Systems with Finite Total Capacity},
  author={Oleg M. Tikhonenko},
  journal={Problems of Information Transmission},
  year={2005},
  volume={41},
  pages={243-253}
}
  • Oleg M. Tikhonenko
  • Published in Probl. Inf. Transm. 2005
  • Mathematics, Computer Science
  • Problems of Information Transmission
  • A multiserver on-demand system is considered in which each call has three interdependent random characteristics: the required number of servers, capacity, and service time. The total capacity of calls and the total number of servers in the system are limited. The type of a call is defined by the number of servers required for its service. We find a stationary distribution of the number of calls in the system, as well as the loss probability for a call of each type. 

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