File:Polling system.svg
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![File:Polling system.svg](http://upload.wikimedia.org/wikipedia/commons/thumb/f/f7/Polling_system.svg/387px-Polling_system.svg.png)
Size of this PNG preview of this SVG file: 387 × 313 pixels. Other resolutions: 297 × 240 pixels | 594 × 480 pixels | 950 × 768 pixels | 1,266 × 1,024 pixels | 2,532 × 2,048 pixels.
Original file (SVG file, nominally 387 × 313 pixels, file size: 23 KB)
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Summary
DescriptionPolling system.svg |
English: Polling system diagram |
Date | |
Source | Own work |
Author | Gareth Jones |
Diagram inspired by those in Levy, Hanoch, and Moshe Sidi. "Polling systems: Applications, modeling, and optimization." Communications, IEEE Transactions on 38.10 (1990): 1750-1760. https://dx.doi.org/10.1109/26.61446
and at
Code used to create this image
\documentclass[a4paper]{article}
\usepackage{amsmath,amssymb,amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows,automata,calc,positioning}
\newtheorem{theorem}{Theorem}
\newtheorem{corollary}{Corollary}
\newcommand*{\ArcAngle}{220}%
\newcommand*{\ArcRadius}{1}%
\makeatletter
\pgfdeclareshape{queueing box}{
\inheritsavedanchors[from=rectangle]
\inheritanchorborder[from=rectangle]
\inheritanchor[from=rectangle]{center}
\inheritanchor[from=rectangle]{north}
\inheritanchor[from=rectangle]{south}
\inheritanchor[from=rectangle]{west}
\inheritanchor[from=rectangle]{east}
\inheritanchor[from=rectangle]{north east}
\inheritanchor[from=rectangle]{south east}
\inheritanchor[from=rectangle]{north west}
\inheritanchor[from=rectangle]{south west}
\inheritanchor[from=rectangle]{base}
\backgroundpath{%
\southwest \pgf@xa=\pgf@x \pgf@ya=\pgf@y % south west is (xa,ya)
\northeast \pgf@xb=\pgf@x \pgf@yb=\pgf@y % north east is (xb,yb)
%\pgfpathmoveto{\pgfpoint{\pgf@xa}{\pgf@ya}}
\pgfpathmoveto{\pgfpoint{\pgf@xa}{\pgf@yb}}
\pgfpathlineto{\pgfpoint{\pgf@xb}{\pgf@yb}}
\pgfpathlineto{\pgfpoint{\pgf@xb}{\pgf@ya}}
\pgfpathlineto{\pgfpoint{\pgf@xa}{\pgf@ya}}
\pgfpathlineto{\pgfpoint{\pgf@xb}{\pgf@ya}}
\pgfpathlineto{\pgfpoint{\pgf@xb}{\pgf@yb}}
\pgfpathclose
}%
}
\makeatother
\tikzstyle{queueing area}=[queueing box,thick,draw=black,minimum size=1cm,left color=white]
\begin{document}
% Diagram inspired by those in
% Levy, Hanoch, and Moshe Sidi. "Polling systems: Applications, modeling, and optimization." Communications, IEEE Transactions on 38.10 (1990): 1750-1760.
% https://dx.doi.org/10.1109/26.61446
\begin{tikzpicture}[->,>=stealth',shorten >=1pt,auto,node distance=2.3cm,semithick]
\tikzstyle{every state}=[fill=white,draw=black,text=black,minimum size=1.1cm]
\coordinate (Origin) at (0,0);
% centre
\node (C) {};
% server
\node[state] (S) [below right of=C,node distance=1cm] {};
% server arc
\draw [->] ($(C)+(\ArcRadius,0)$) arc (0:\ArcAngle:\ArcRadius);
% queueing areas
\node[queueing area] (Q1) [left of=C] {};
\node[queueing area,rotate=315] (Q2) [left of=C] {};
\node[queueing area,rotate=270] (Q3) [left of=C] {};
\node[queueing area,rotate=225] (Q4) [left of=C] {};
\node[queueing area,rotate=180] (Q5) [left of=C] {};
\node[queueing area,rotate=135] (Q6) [left of=C] {};
\node[rotate=90] (Q7) [left of=C] {$\vdots$};
\node[queueing area,rotate=45] (Q8) [left of=C] {};
\node (A1) [below left of=C] {};
\node (A2) [left of=C] {};
\node (A3) [above left of=C] {};
\node (A4) [above of=C] {};
\node (A5) [above right of=C] {};
\node (A6) [right of=C] {};
\node (A7) [below right of=C] {};
\node (S1) [below left of=A1] {\Large $\lambda_6$};
\node (S2) [left of=A2] {\Large$\lambda_5$};
\node (S3) [above left of=A3] {\Large$\lambda_4$};
\node (S4) [above of=A4] {\Large$\lambda_3$};
\node (S5) [above right of=A5] {\Large$\lambda_2$};
\node (S6) [right of=A6] {\Large$\lambda_1$};
\node (S7) [below right of=A7] {\Large$\lambda_n$};
\path (S1) edge ($(A1)+(-0.5,-0.5)$);
\path (S2) edge ($(A2)+(-0.7,0)$);
\path (S3) edge ($(A3)+(-0.5,0.5)$);
\path (S4) edge ($(A4)+(0,0.7)$);
\path (S5) edge ($(A5)+(0.5,0.5)$);
\path (S6) edge ($(A6)+(0.7,0)$);
\path (S7) edge ($(A7)+(0.5,-0.5)$);
\end{tikzpicture}
\end{document}
Then converted using pdf2svg.
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
![w:en:Creative Commons](https://upload.wikimedia.org/wikipedia/commons/thumb/7/79/CC_some_rights_reserved.svg/90px-CC_some_rights_reserved.svg.png)
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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.
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30 October 2013
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 18:17, 30 October 2013 | ![]() | 387 × 313 (23 KB) | Gareth Jones | corrected labelling of nodes so nodes are serviced in order 1, 2, 3, ..., n |
18:03, 30 October 2013 | ![]() | 372 × 305 (23 KB) | Gareth Jones | User created page with UploadWizard |
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Metadata
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Width | 309.2692pt |
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Height | 250.421pt |
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