A Single-Server Queue with Vacations and Gated Time-Limited Service
01 January 1989
We analyze an M/G/1 queue with server vacations and gated time-limited service. The analysis is based on the work decomposition property recently proved by Boxma and Groenendijk. The major difficulty in analyzing our vacation model lies in characterizing the amount of work, U sub v, at an arbitrary time epoch during a vacation.