Mercurial > forge
changeset 9439:f9ab20ba5834 octave-forge
fixed typo in the documentation
author | mmarzolla |
---|---|
date | Wed, 15 Feb 2012 11:54:15 +0000 |
parents | 678c2f72f36a |
children | 64319df04e33 |
files | main/queueing/doc/markovchains.txi main/queueing/doc/queueing.html main/queueing/doc/queueing.pdf main/queueing/inst/qnclosedmultimva.m |
diffstat | 4 files changed, 10 insertions(+), 13 deletions(-) [+] |
line wrap: on
line diff
--- a/main/queueing/doc/markovchains.txi Wed Feb 15 10:20:36 2012 +0000 +++ b/main/queueing/doc/markovchains.txi Wed Feb 15 11:54:15 2012 +0000 @@ -43,11 +43,7 @@ @end tex @end iftex @ifnottex -@example -@group -P(X_@{n+1@} = x_@{n+1@} | X_n = x_n, X_@{n-1@} = x_@{n-1@}, ..., X_0 = x_0) = P(X_@{n+1@} = x_@{n+1@} | X_n = x_n) -@end group -@end example +@math{P(X_{n+1} = x_{n+1} | X_n = x_n, X_{n-1} = x_{n-1}, ..., X_0 = x_0) = P(X_{n+1} = x_{n+1} | X_n = x_n)} @end ifnottex @noindent which means that the probability that the system is in @@ -92,7 +88,8 @@ Under certain conditions, there exists a @emph{stationary state occupancy probability} @math{{\bf \pi} = \lim_{n \rightarrow +\infty} {\bf \pi}(n)}, which is independent from the initial state occupancy -@math{{\bf \pi}(0)}. +@math{{\bf \pi}(0)}. The stationary state occupancy probability vector +@math{\bf \pi} satisfies @math{{\bf \pi} = {\bf \pi} {\bf P}}. @DOCSTRING(dtmc) @@ -104,7 +101,6 @@ @end group @end example - The First Passage Time @math{M_{i j}} is defined as the average number of transitions needed to visit state @math{j} for the first time, starting from state @math{i}. Matrix @math{\bf M} satisfies the
--- a/main/queueing/doc/queueing.html Wed Feb 15 10:20:36 2012 +0000 +++ b/main/queueing/doc/queueing.html Wed Feb 15 11:54:15 2012 +0000 @@ -791,9 +791,9 @@ <small class="dots">...</small>. A <em>Markov chain</em> is a stochastic process {X_n, n=0, 1, 2, <small class="dots">...</small>} which satisfies the following Marrkov property: -<pre class="example"> P(X_{n+1} = x_{n+1} | X_n = x_n, X_{n-1} = x_{n-1}, ..., X_0 = x_0) = P(X_{n+1} = x_{n+1} | X_n = x_n) -</pre> - <p class="noindent">which means that the probability that the system is in + <p>P(X_n+1 = x_n+1 | X_n = x_n, X_n-1 = x_n-1, ..., X_0 = x_0) = P(X_n+1 = x_n+1 | X_n = x_n) + +<p class="noindent">which means that the probability that the system is in a particular state at time n+1 only depends on the state the system was at time n. @@ -824,7 +824,8 @@ <p>Under certain conditions, there exists a <em>stationary state occupancy probability</em> \bf \pi = \lim_n \rightarrow +\infty \bf \pi(n), which is independent from the initial state occupancy -\bf \pi(0). +\bf \pi(0). The stationary state occupancy probability vector +\bf \pi satisfies \bf \pi = \bf \pi \bf P. <p><a name="doc_002ddtmc"></a> @@ -3445,7 +3446,7 @@ <br><dt><var>V</var><dd><var>V</var><code>(c,k)</code> is the average number of visits of class c customers to service center k; <var>V</var><code>(c,k) ≥ 0</code>, default is 1. -<strong>If you pass this parameter, no class switching is not +<strong>If you pass this parameter, class switching is not allowed</strong> <br><dt><var>P</var><dd><var>P</var><code>(r,i,s,j)</code> is the probability that a class r
--- a/main/queueing/inst/qnclosedmultimva.m Wed Feb 15 10:20:36 2012 +0000 +++ b/main/queueing/inst/qnclosedmultimva.m Wed Feb 15 11:54:15 2012 +0000 @@ -91,7 +91,7 @@ ## @code{@var{V}(c,k)} is the average number of visits of class @math{c} ## customers to service center @math{k}; @code{@var{V}(c,k) @geq{} 0}, ## default is 1. -## @strong{If you pass this parameter, no class switching is not +## @strong{If you pass this parameter, class switching is not ## allowed} ## ## @item P