2014/11/02 by Yuqing Chu, Chu, Yuqing, Zaiming Liu +3
Business, Management and Accounting · Computer Science · Engineering · #60K25 #Advanced Queuing Theory Analysis #Advanced Wireless Network Optimization #FOS: Mathematics #Network Traffic and Congestion Control #Probability (math.PR)
paper · pdf · doi:10.48550/arxiv.1411.0234
openalex publication_date 2014/11/02 · openalex created_date 2016/07/22 · openalex updated_date 2026/07/28
In this paper, we deal with a two-queue polling system attended by a single server. The server visits the queues according to a Markovian routing mechnism. There are two-class customers in the first queue. Customers of each queue are served in the exhaustive discipline. For this model, we study the joint number of customers, the cycle time and the waiting times. we are also devoted to deriving the exact asymptotics for the scaled delay in the heavy-traffic scenario. In addition, the scaled delays with large switch-over times are discussed for the first time in the Markovian polling systems. Finally, we provide some simulations to surpport the asymptotic results.