File:MM1 queue state space.svg
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Summary
| Description |
English: State space diagram of an M/M/1 queue. The state space records the number of customers in the queueing system. The values lambda and mu represent the arrival and service rates of customers. |
| Date | |
| Source | Own work |
| Author | Gareth Jones |
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.
Code used to produce this image
\begin{tikzpicture}[->,>=stealth',shorten >=1pt,auto,node distance=2cm,semithick]
\tikzstyle{every state}=[fill=white,draw=black,text=black,minimum size=1.1cm]
\node[state] (A) {0};
\node[state] (B) [right of=A] {$1$};
\node[state] (C) [right of=B] {$2$};
\node[state] (D) [right of=C] {$3$};
\node[minimum size=1cm] (E) [right of=D] {$\cdots$};
\node[state] (F) [right of=E] {$n-1$};
\node[state] (G) [right of=F] {$n$};
\node[state] (H) [right of=G] {$n+1$};
\node[minimum size=1cm] (I) [right of=H] {$\cdots$};
\path (A) edge [bend left] node {$\lambda$} (B);
\path (B) edge [bend left] node {$\mu$} (A);
\path (B) edge [bend left] node {$\lambda$} (C);
\path (C) edge [bend left] node {$\mu$} (B);
\path (C) edge [bend left] node {$\lambda$} (D);
\path (D) edge [bend left] node {$\mu$} (C);
\path (D) edge [bend left] node {$\lambda$} (E);
\path (E) edge [bend left] node {$\mu$} (D);
\path (E) edge [bend left] node {$\lambda$} (F);
\path (F) edge [bend left] node {$\mu$} (E);
\path (F) edge [bend left] node {$\lambda$} (G);
\path (G) edge [bend left] node {$\mu$} (F);
\path (G) edge [bend left] node {$\lambda$} (H);
\path (H) edge [bend left] node {$\mu$} (G);
\path (H) edge [bend left] node {$\lambda$} (I);
\path (I) edge [bend left] node {$\mu$} (H);
\end{tikzpicture}
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 22:42, 30 May 2013 | | 605 × 67 (28 KB) | Gareth Jones | better fonts |
| 20:31, 1 November 2011 |  | 599 × 64 (48 KB) | Gareth Jones |
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