Message sojourn time for TDM schemes with any buffer capacity

The waiting time distribution for a TDMA model with a finite buffer and state-dependent service

“…The service process also generalizes the cases of constant service. If the quantities are set so that for for , elsewhere then our TDMA model (motivated by the applications in [18] and [19]) generalizes the one with constant batch service in [15] and [16]. More specifically, if , it further reduces to the one with constant unit service in [1].…”

“…Two special cases of our TDMA model with constant service were studied in [1], [15], and [16]. We shall see that the methodology we used to derive the waiting time density of an arbitrary admitted customer readily gives rise to straightforward solutions for the constant service models.…”

“…Due to the complexity of the analysis of exact waiting time (or delay) distribution in finite buffer TDMA models, only a few results for very special cases are given in the literature [1], [8], [15]- [17]. While in [1], [8], and [17] models with constant unit service are studied, [15] and [16] treat cases with constant batch service.…”

Service Interval based channel time allocation in wireless UWB networks

“…MAS allocation is classified into three categories [8]: 1) single slot per station per cycle, 2) multiple continuous slots per station per cycle, and 3) multiple non-continuous slots per station per cycle. Here the cycle is the same as the concept of superframe.…”