Packet loss probability for bursty wireless real-time traffic through delay model

In this work, two Markov chains modeling packet delay have been developed to obtain closed-form solutions for packet loss probabilities and packet delay distributions in a real-time wireless communication environment. Packets with delay constraints are queued at the source and are transmitted one by one with possible retransmissions to correct errors. The first model models packet delay and correlated packet arrivals using a one-dimensional Markov chain. Usually, at least two dimensions are needed in queuing models. The second model is a two-dimensional Markov chain modeling packet delay, correlated channel errors, and correlated arrivals. Both correlated errors and arrivals are known to have significant impact on packet loss. Possible applications of the results are also discussed.