Delay Analysis and Queue-Length Distribution of a Slotted Metro Network Using Embedded DTMC

In this paper, the authors investigate performance analysis on queuing delay and queue length distribution of a slotted bus-based optical Metropolitan Area Network (MAN) using fixed length packet format and a single wavelength. The studied network is a unidirectional bus on which many access nodes are connected to transmit fixed length packets to a centralized Hub node over a single wavelength. Each access node is modeled by an Embedded Discrete Time Markov chain (EDTMC). The solution of this EDTMC allows computing the approximate probability that the next downstream access node on the bus sees the slot free. By using the recurrent analysis technique, they outline an approximate queue-length distribution as well as an approximate mean waiting time for each access node.