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Your search keyword '"multi-stage gated discipline"' showing total 2 results
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2 results on '"multi-stage gated discipline"'

1. RANDOM FLUID LIMIT OF AN OVERLOADED POLLING MODEL.

Author

REMEROVA, MARIA, FOSS, SERGEY, and ZWART, BERT

Subjects
FLUID dynamics, MECHANICAL loads, ASYMPTOTIC distribution, BRANCHING processes, QUEUING theory
Abstract

In the present paper, we study the evolution of an overloaded cyclic polling model that starts empty. Exploiting a connection with multitype branching processes, we derive fluid asymptotics for the joint queue length process. Under passage to the fluid dynamics, the server switches between the queues infinitely many times in any finite time interval causing frequent oscillatory behavior of the fluid limit in the neighborhood of zero. Moreover, the fluid limit is random. In addition, we suggest a method that establishes finiteness of moments of the busy period in an M/G/1 queue. [ABSTRACT FROM AUTHOR]

Published
2014
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2. Random fluid limit of an overloaded polling model

Author

Bert Zwart, Serguei Foss, Maria Remerova, Stochastics, Mathematics, Eurandom, and Stochastic Operations Research

Subjects
Statistics and Probability, Mathematical optimization, Primary 60K25, 60F17, Secondary 90B15, 90B22, overload, 0211 other engineering and technologies, 90B22, 02 engineering and technology, 01 natural sciences, 010104 statistics & probability, random fluid limit, 60K25, FOS: Mathematics, Fluid dynamics, multi-stage gated discipline, 0101 mathematics, Queue, Mathematics, Branching process, Fluid limit, busy period moment, 021103 operations research, Applied Mathematics, Probability (math.PR), Mathematical analysis, 90B15, branching process, Polling system, 60F17, Finite time, Cyclic polling, Mathematics - Probability
Abstract

In the present paper, we study the evolution of an overloaded cyclic polling model that starts empty. Exploiting a connection with multitype branching processes, we derive fluid asymptotics for the joint queue length process. Under passage to the fluid dynamics, the server switches between the queues infinitely many times in any finite time interval causing frequent oscillatory behavior of the fluid limit in the neighborhood of zero. Moreover, the fluid limit is random. Additionally, we suggest a method that establishes finiteness of moments of the busy period in an M/G/1 queue., Comment: 36 pages, 2 pictures

Published
2014
Full Text
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