waiting time analysis of bmap vacation queue and its application to ieee 802.16e sleep mode
The paper deals with the continuous-time BMAP/G /1 queue with multiple vacations and with its application to IEEE 802.16e sleep mode. The lengths of the vacation periods have general distribution and they depend on the number of preceding vacations (dependent multiple vacation). We obtain new formulas for the vector Laplace-Stieljes transform of the stationary virtual waiting time and for its first two moments in case of First-Come First-Serve scheduling. Finally the application of this vacation model to IEEE 802.16e sleep mode mechanism is demonstrated.
waiting time bmap queueing theory multiple vacation model