Abstract
ABSTRACT 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 numerical examples. Keywords: WDM, Geom/Geom/1(MWV), vacation model, working vacation model 1. INTRODUCTION A polling system consists of a single server and many queues (terminals) and a server polls a set of queues (terminals) in cyclic order
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