File:Hyperexponential.svg
Size of this PNG preview of this SVG file: 269 × 226 pixels. Other resolutions: 286 × 240 pixels | 571 × 480 pixels | 914 × 768 pixels | 1,219 × 1,024 pixels | 2,438 × 2,048 pixels.
Original file (SVG file, nominally 269 × 226 pixels, file size: 25 KB)
 | This is a file from the Wikimedia Commons. Information from its description page there is shown below. Commons is a freely licensed media file repository. You can help. |
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:
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.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 11:48, 30 October 2013 | | 269 × 226 (25 KB) | Gareth Jones | User created page with UploadWizard |
File usage
The following pages on the English Wikipedia use this file (pages on other projects are not listed):
Global file usage
The following other wikis use this file:
- Usage on ca.wikipedia.org
