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Bounding of performance measures for a threshold-based queueing system with hysteresis

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Advanced Queuing Theory Analysis Petri Nets in System Modeling Age of Information Optimization

Abstract

AbstractÐIn this paper, we consider a K-server threshold-based queuing system with hysteresis in which the number of active servers is governed by a forward threshold vector F ˆ…F1;F2;...;FK 1 † (where F1 <F2 < <FK 1) and a reverse threshold vector R ˆ…R1;R2;...;RK 1 † (where R1 <R2 <

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References

1961A Proof for the Queuing Formula: L = λ W 2017Princeton University Press 1975Theory, Volume 1, Queueing Systems 1977Decomposability: Queueing and Computer System Applications 1984Optimal control of a queueing system with two heterogeneous servers 1977Transient solutions in markovian queueing systems 1990Computer and Communications Systems Performance Modelling 1981The Compensation Method Applied to a One-Product Production/Inventory Problem

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2002Bounding of performance measures for threshold-based queuing systems: theory and application to dynamic resource management in video-on-demand servers 2014Analysis of an M|G|1|R queue with batch arrivals and two hysteretic overload control policies

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