Delay Analysis of Bandwidth Request in Truncated Binary Exponential Backoff Mechanism over Error-Free/Error-Prone Channels in IEEE 802.16e

We investigate the delay of the bandwidth request under the truncated binary exponential backoff (TBEB) mechanism in the IEEE 802.16e, considering error-free/error- prone wireless channels. We derive the distribution of delay of bandwidth request packets in the TBEB by an analytic method on the assumption of Bernoulli request arrival process and error-free channel conditions, and extend the analytic results to the error-prone channel condition where the request transmissions have error with i.i.d. By numerical analysis we can find the optimal number of transmission opportunities for transmitting bandwidth requests of the TBEB satisfying QoS on delay bound and loss bound.