In the paper, we propose a digital working vacation scheme cyclic polling system for wavelength division multiplexing
(WDM). This system consists of multi-queues (terminals) whose service rate is one of the fast speed and lower speed.
the fast speed mode moves cyclically from queue to queue with an exhaustive schedule. Using the decomposition
approach, each queue is analyzed as a single server queue with working vacation, which works at a different rate, rather
than completely stops during the vacation polling period. Using quasi birth and death chain and matrix geometric
solution method, we give some performance parameters, such as the mean number of packet in the queue, throughput,
busy period etc. Finally, we analyze the effect of the parameters on the mean queue length and sojourn time through