An M/G/1 Queue under the $P_\lambda\;^M$ with a Setup Time

  • Lee Jiyeon (Department of Statistics, Yeungnam University) ;
  • Kim Jongwoo (Statistical Research Center for Complex Systems, Seoul National University)
  • Published : 2004.11.01

Abstract

We consider the $P_\lambda\;^M$ service policy for an M/G/1 queue in which the service rate is increased from 1 to M at the exponential setup time after the level of workload exceeds $\lambda$. The stationary distribution of the workload is explicitly obtained through the level crossing argument.

Keywords