exercise:827f8681ec: Difference between revisions
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(Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> Write a computer program to simulate the queue in Exercise Exercise. Have your program keep track of the proportion of the time that the queue length is <math>j</math> for <math>j = 0</math>, 1, \ldots, <math>n</math> an...") |
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\newcommand{\mathds}{\mathbb}</math></div> Write a computer program to simulate the queue in | \newcommand{\mathds}{\mathbb}</math></div> Write a computer program to simulate the queue in [[exercise:D094f2f7d6 |Exercise]]. Have your program keep track of the proportion of the time that the queue length is <math>j</math> for <math>j = 0, 1, \ldots,n</math> and the average queue length. Show that the behavior of the queue length is very different depending upon whether the traffic intensity <math>s</math> has the property <math>s < 1</math>, <math>s =1</math>, or <math>s > 1</math>. | ||
the time that the queue length is <math>j</math> for <math>j = 0 | |||
average | |||
queue length. Show that the behavior of the queue length is very different | |||
depending upon whether the traffic intensity <math>s</math> has the property <math>s < 1</math>, <math>s = | |||
1</math>, | |||
or <math>s > 1</math>. | |||
Latest revision as of 22:01, 17 June 2024
[math]
\newcommand{\NA}{{\rm NA}}
\newcommand{\mat}[1]{{\bf#1}}
\newcommand{\exref}[1]{\ref{##1}}
\newcommand{\secstoprocess}{\all}
\newcommand{\NA}{{\rm NA}}
\newcommand{\mathds}{\mathbb}[/math]
Write a computer program to simulate the queue in Exercise. Have your program keep track of the proportion of the time that the queue length is [math]j[/math] for [math]j = 0, 1, \ldots,n[/math] and the average queue length. Show that the behavior of the queue length is very different depending upon whether the traffic intensity [math]s[/math] has the property [math]s \lt 1[/math], [math]s =1[/math], or [math]s \gt 1[/math].