Optimal server allocation in a system of multi-server stations

@inproceedings{Shanthikumar1987OptimalSA,
  title={Optimal server allocation in a system of multi-server stations},
  author={J. George Shanthikumar and David D. Yao},
  year={1987}
}
Consider a closed queueing network Gordon and Newell [Gordon, W. J., G. F. Newell. 1967. Closed queueing networks with exponential servers. Oper. Res.15 252-267.] with a set of stations. The service rate at each station is an increasing concave function of the number of jobs at that station. Suppose there also exists a station that has c â??1 parallel servers, each of which has a fixed service rate. We show that the throughput of this network is an increasing concave function with respect to c… CONTINUE READING