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File:Hyperexponential.svg

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Original file (SVG file, nominally 269 × 226 pixels, file size: 25 KB)

Summary

Description
English: Diagram showing queueing system equivalent of a hyperexponential distribution
Date
Source Own work
Author Gareth Jones

This image is inspired by Figure 7.2 on p. 260 of Peter G. Harrison and Naresh M. Patel's Performance Modelling of Communication Networks and Computer Architectures (1993) published by Addison-Wesley ISBN 0-201-54419-9.

Code used to create this image

\documentclass{article}
\usepackage{amsmath,amssymb,pgf,tikz}
\usetikzlibrary{arrows,automata}
\begin{document}

\begin{tikzpicture}[->,>=stealth',shorten >=1pt,auto,node distance=1.5cm,semithick]
  \tikzstyle{every state}=[fill=white,draw=black,text=black,minimum size=1.1cm]

  \node (A) {};
  \node[state] (A2) [right of=A] {$\lambda_1$};
  \node (A3) [right of=A2] {};

  \node (B) [below of=A] {};
  \node[state] (B2) [right of=B] {$\lambda_2$};
  \node (B3) [right of=B2] {};

  \node (C) [below of=B] {};
  \node (C2) [right of=C] {\vdots};
  \node (C3) [right of=C2] {};

  \node (D) [below of=C] {};
  \node[state] (D2) [right of=D] {$\lambda_n$};
  \node (D3) [right of=D2] {};

  \node (S) [left of=C] {start};
  \node (E) [right of=C3] {end};

  \path[-] (A.center) edge node {$p_1$} (A2);
  \path[-] (B.center) edge node {$p_2$} (B2);
  \path[-] (D.center) edge node {$p_n$} (D2);

  \path[-] (A2) edge node {} (A3.center);
  \path[-] (B2) edge node {} (B3.center);
  \path[-] (D2) edge node {} (D3.center);

  \path[-] (A.center) edge node {} (D.center);
  \path[-] (A3.center) edge node {} (D3.center);

  \path (S) edge node {} (C.center);
  \path (C3.center) edge node {} (E);

\end{tikzpicture}
\end{document}

Then converted using pdf2svg and inkscape.

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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30 October 2013

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Date/TimeThumbnailDimensionsUserComment
current11:48, 30 October 2013Thumbnail for version as of 11:48, 30 October 2013269 × 226 (25 KB)Gareth JonesUser created page with UploadWizard

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