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<p>A queueing loss system with <i>N</i> independent sources, without buffer, and <i>n</i> servers, is considered here (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11009_2025_10141_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="52" /> </InlineMediaObject> <EquationSource Format="TEX">\(N&gt;n\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>N</mi> <mo>&gt;</mo> <mi>n</mi> </mrow> </math></EquationSource> </InlineEquation>). Arrivals and service times are Poisson and exponentially distributed, respectively. We present averaging and diffusion approximation results as the number of sources and service facilities becomes together large.</p>

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Diffusion Approximation of Loss Queueing Systems

  • 期刊论文

  • 发表日期：

    2025年3月8日

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  • Nikolaos Limnios,
  • Bei Wu

摘要

A queueing loss system with N independent sources, without buffer, and n servers, is considered here ( \(N>n\) N > n ). Arrivals and service times are Poisson and exponentially distributed, respectively. We present averaging and diffusion approximation results as the number of sources and service facilities becomes together large.