Study on Working Vacation Polling System for WDM with PH Distribution Service Time

In the paper, we propose phase type (PH) distribution service time working vacation scheme cyclic polling system for WDM. This system consists of multi-queues (terminals). Using the decomposition approach, each queue is analyzed as a single server queue with PH distribution service time working vacation scheme 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 queue length and mean sojourn time of packet. Finally, we analyze the effect of the parameters on the mean queue length and mean sojourn time through numerical examples.