Adaptive Cyclic Polling Systems: Analysis and Application to the Broadband Wireless Networks

Vishnevsky, Vladimir; Bui, Duy T.; Соколов, А. К.

doi:10.1007/978-3-030-36614-8_3

Cited by 5 publications

(11 citation statements)

References 16 publications

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“…where 1 = (1, ..., 1) we get a system of linear equations to calculate the first and second moments of the queue lengths at the polling moments. Similar results for exhaustive service are obtained by Vishnevsky et al [65]. The mean waiting time W i in queue Q i is calculated as…”

Section: Cyclic Adaptive Pollingsupporting

confidence: 69%

“…The study of adaptive polling systems is continued by Semenova and Bui [64] and Vishnevsky et al [65] where the queue length distribution at an arbitrary polling moment is obtained by the PGF method.…”

Section: Cyclic Adaptive Pollingmentioning

confidence: 99%

“…A random order of service is defined as follows: each customer arriving to a queue is marked by value of a random variable uniformly distributed in [0,1]. Then, at the polling moment all customers waiting for service are arranged in the increasing order of their marks, and the customer with the smallest mark is served first.…”

Section: Customer Service Ordermentioning

confidence: 99%

“…Stochastic polling models are effectively used for performance evaluation, design and optimization of telecommunication systems and networks, transport systems, and road management systems, traffic, production systems and inventory management systems, etc. (see [1][2][3][4][5]).…”

Section: Introductionmentioning

confidence: 99%

“…The further development of theoretical results in this area published before 1995 is presented in by Borst [7], and the papers published in 1996-2009 are systematized in a review by Visnevsky and Semenova [8] and its update [9]. The review [8] is continued in the book by Vishnevsky and Semenova [1], where we emphasize how polling systems can be applied for design of broadband wireless networks and present new models describing the functioning of broadband wireless Wi-Fi and Wi-MAX networks with PCF (Point Coordination Function).…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Polling Systems and Their Application to Telecommunication Networks

Vishnevsky

2021

Mathematics

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The paper presents a review of papers on stochastic polling systems published in 2007–2020. Due to the applicability of stochastic polling models, the researchers face new and more complicated polling models. Stochastic polling models are effectively used for performance evaluation, design and optimization of telecommunication systems and networks, transport systems and road management systems, traffic, production systems and inventory management systems. In the review, we separately discuss the results for two-queue systems as a special case of polling systems. Then we discuss new and already known methods for polling system analysis including the mean value analysis and its application to systems with heavy load to approximate the performance characteristics. We also present the results concerning the specifics in polling models: a polling order, service disciplines, methods to queue or to group arriving customers, and a feedback in polling systems. The new direction in the polling system models is an investigation of how the customer service order within a queue affects the performance characteristics. The results on polling systems with correlated arrivals (MAP, BMAP, and the group Poisson arrivals simultaneously to all queues) are also considered. We briefly discuss the results on multi-server, non-discrete polling systems and application of polling models in various fields.

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Section: Cyclic Adaptive Pollingsupporting

confidence: 69%

Section: Cyclic Adaptive Pollingmentioning

confidence: 99%

Section: Customer Service Ordermentioning

confidence: 99%