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File:Hyper-Erlang distribution.svg

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Original file (SVG file, nominally 394 × 237 pixels, file size: 41 KB)

Summary

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

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.

Code used to create this image

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

\usetikzlibrary{decorations.pathreplacing}

% credit to http://tex.stackexchange.com/questions/128064/how-to-overbrace-underbrace-in-text-mode-using-tikz
\tikzstyle{overbrace text style}=[above, pos=.5, yshift=3mm]
\tikzstyle{overbrace style}=[decorate,decoration={brace,raise=2mm,amplitude=3pt},-]

\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[state] (A3) [right of=A2] {$\lambda_1$};
  \node (A4) [right of=A3] {$\cdots$};
  \node[state] (A5) [right of=A4] {$\lambda_1$};
  \node (A6) [right of=A5] {};

  \draw [overbrace style] (A2.north west) -- (A5.north east) node [overbrace text style] {$l_1$};

  \node (B) [below of=A,node distance=2cm] {};
  \node[state] (B2) [right of=B] {$\lambda_2$};
  \node[state] (B3) [right of=B2] {$\lambda_2$};
  \node (B4) [right of=B3] {$\cdots$};
  \node[state] (B5) [right of=B4] {$\lambda_2$};
  \node (B6) [right of=B5] {};

  \draw [overbrace style] (B2.north west) -- (B5.north east) node [overbrace text style] {$l_2$};

  \node (C) [below of=B] {};
  \node (C2) [right of=C] {\vdots};
  \node (C3) [right of=C2] {};
  \node (C6) [below of=B6] {};

  \node (D) [below of=C] {};
  \node[state] (D2) [right of=D] {$\lambda_n$};
  \node[state] (D3) [right of=D2] {$\lambda_n$};
  \node (D4) [right of=D3] {$\cdots$};
  \node[state] (D5) [right of=D4] {$\lambda_n$};
  \node (D6) [right of=D5] {};

  \draw [overbrace style] (D2.north west) -- (D5.north east) node [overbrace text style] {$l_n$};

  \node (S) [left of=C] {start};
  \node (E) [right of=C6] {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);
  \path[-] (B2) edge node {} (B3);
  \path[-] (D2) edge node {} (D3);

  \path[-] (A3) edge node {} (A4);
  \path[-] (B3) edge node {} (B4);
  \path[-] (D3) edge node {} (D4);

  \path[-] (A4) edge node {} (A5);
  \path[-] (B4) edge node {} (B5);
  \path[-] (D4) edge node {} (D5);

  \path[-] (A5) edge node {} (A6.center);
  \path[-] (B5) edge node {} (B6.center);
  \path[-] (D5) edge node {} (D6.center);

  \path[-] (A.center) edge node {} (D.center);
  \path[-] (A6.center) edge node {} (D6.center);

  \path (S) edge node {} (C.center);
  \path (C6.center) edge node {} (E);

\end{tikzpicture}
\end{document}

Then converted using pdf2svg and tidied in inkscape.

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20 November 2013

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Date/TimeThumbnailDimensionsUserComment
current00:41, 20 November 2013Thumbnail for version as of 00:41, 20 November 2013394 × 237 (41 KB)Gareth JonesUser created page with UploadWizard

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