Queueing model of sleep-mode operation in cellular digital packet data

Cellular Digital Packet Data (CDPD) provides a sleep mode operation for power conservation in mobile end systems (M-ESs). We perform a theoretical analysis of sleep mode operation for CDPD. Sleep mode operation is modeled as an queueing system with an attention span and multiple vacations with an exceptional first vacation. The steady state probabilities of the queueing system, the frame loss probability, the expected frame waiting time, and the percentage of time in the sleep period are derived. Sleep mode performance is evaluated for varying packet arrival rate, buffer length, and timers’ values using the queueing model. Sleep mode in an M-ES occurs when the packet arrival rate for the M-ES is low. When the M-ES is in sleep mode, the expected frame waiting time depends on value. To keep the frame loss probability low for M-ES in sleep mode, the mobile data intermediate system (MDIS) buffer should be sufficiently large. Sleep mode can efficiently reduce power consumption by selecting a low value for timer and a high value for timer .