densityOfSojournTimeAtState_i

The density of the sojourn time in state i with probability that

The idea of a computational algorithm described in the article by Andronov M. et al. (2022) <https://link.springer.com/chapter/10.1007/978-3-030-92507-9_13>.
The purpose of this package is to automate computations for a Markov-Modulated M/G/1 queuing system with alternating Poisson flow of arrivals. It offers a set of functions to calculate various mean indices of the system, including mean flow intensity, mean service busy and idle times, and the system's stationary probability.

Olga Zoldaka

MG1StationaryProbability

Computes Stationary Distribution for M/G/1 Queuing System

densityOfSojournTimeAtState_i function

<dl><dt>i</dt>
<dd>MC i-th state</dd>
<dt>j</dt>
<dd>MC j-th state</dd>
<dt>t</dt>
<dd>time value</dd>
<dt>dt</dt>
<dd>time increment</dd>
<dt>m</dt>
<dd>distribution parameters vector of sojourn times
in alternating environment states</dd>
<dt>mMax</dt>
<dd>max number of addends in sums</dd></dl>

Arguments

The density of the sojourn time in state i with probability that — densityOfSojournTimeAtState_i

<dl>

<dt>i</dt>
<dd>MC i-th state</dd>


<dt>j</dt>
<dd>MC j-th state</dd>


<dt>t</dt>
<dd>time value</dd>


<dt>dt</dt>
<dd>time increment</dd>


<dt>m</dt>
<dd>distribution parameters vector of sojourn times
in alternating environment states</dd>


<dt>mMax</dt>
<dd>max number of addends in sums</dd>

</dl>

densityOfSojournTimeAtState_i: The density of the sojourn time in state i with probability that

Description

Usage

Value

Arguments

Examples