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      Diffusion approximation in overloaded switching queueing models

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      Author(s)
      Anisimov, V. V.
      Date
      2002
      Source Title
      Queueing Systems
      Print ISSN
      0257-0130
      Publisher
      Springer
      Volume
      40
      Issue
      2
      Pages
      143 - 182
      Language
      English
      Type
      Article
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      Abstract
      The asymptotic behavior of a queueing process in overloaded state-dependent queueing models (systems and networks) of a switching structure is investigated. A new approach to study fluid and diffusion approximation type theorems (without reflection) in transient and quasi-stationary regimes is suggested. The approach is based on functional limit theorems of averaging principle and diffusion approximation types for so-called Switching processes. Some classes of state-dependent Markov and non-Markov overloaded queueing systems and networks with different types of calls, batch arrival and service, unreliable servers, networks (MSM,Q/MSM,Q/1/∞)r switched by a semi-Markov environment and state-dependent polling systems are considered.
      Keywords
      Averaging principle
      Diffusion approximation
      Fluid limit
      Markov process
      Networks
      Queueing systems
      Semi-Markov process
      Switching process
      Permalink
      http://hdl.handle.net/11693/24584
      Published Version (Please cite this version)
      http://dx.doi.org/10.1023/A:1014371517599
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