Application in R for Queueing Analysis and Simulation


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Documentation for package ‘arqas’ version 1.1

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cdfcompggplot2 Cumulative Density plot using the package ggplot2
ClosedJacksonNetwork Obtains the main characteristics of a Closed Jackson Network model
ClosedNetwork Obtains the main characteristics of a Closed Network model by simulation
combineSimulations Combines a list of independent simulations of a queueing model, computing the mean and variance of each characteristic of interest
denscompggplot2 Density histogram Plot using the package ggplot2
fitData Computes the estimated parameters of the distributions for the input data
FW Distribution function of the waiting time in the system
FW.MarkovianModel Distribution function of the waiting time in the system
FW.M_M_1 Distribution function of the waiting time in the system
FW.M_M_1_INF_H Distribution function of the waiting time in the system
FW.M_M_1_K Distribution function of the waiting time in the system
FW.M_M_INF Distribution function of the waiting time in the system
FW.M_M_S Distribution function of the waiting time in the system
FW.M_M_S_INF_H Distribution function of the waiting time in the system
FW.M_M_S_INF_H_Y Distribution function of the waiting time in the system
FW.M_M_S_K Distribution function of the waiting time in the system
FWq Distribution function of the waiting time in the queue
FWq.MarkovianModel Distribution function of the waiting time in the queue
FWq.M_M_1 Distribution function of the waiting time in the queue
FWq.M_M_1_INF_H Distribution function of the waiting time in the queue
FWq.M_M_1_K Distribution function of the waiting time in the queue
FWq.M_M_INF Distribution function of the waiting time in the queue
FWq.M_M_S Distribution function of the waiting time in the queue
FWq.M_M_S_INF_H Distribution function of the waiting time in the queue
FWq.M_M_S_INF_H_Y Distribution function of the waiting time in the queue
FWq.M_M_S_K Distribution function of the waiting time in the queue
goodnessFit Computes the p-value of the chi-square test and Kolmogorov-Smirnov test
G_G_1 Obtains the main characteristics of a G/G/1 model by simulation
G_G_1_INF_H Obtains the main characteristics of a G/G/1/Inf/H model by simulation
G_G_1_K Obtains the main characteristics of a G/G/1/K model by simulation
G_G_INF Obtains the main characteristics of a G/G/Inf model by simulation
G_G_S Obtains the main characteristics of a G/G/s model by simulation
G_G_S_INF_H Obtains the main characteristics of a G/G/S/Inf/H model by simulation
G_G_S_INF_H_Y Obtains the main characteristics of a G/G/S/Inf/H with Y replacements model by simulation
G_G_S_K Obtains the main characteristics of a G/G/s/K model by simulation
MarkovianModel Defines a queueing model
maxCustomers Returns the maximun value of n that satisfies the condition P<sub>n</sub> > 0
maxCustomers.MarkovianModel Returns the maximun value of n that satisfies the condition P<sub>n</sub> > 0
maxCustomers.M_M_1_INF_H Returns the maximun value of n that satisfies the condition P<sub>n</sub> > 0
maxCustomers.M_M_1_K Returns the maximun value of n that satisfies the condition P<sub>n</sub> > 0
maxCustomers.M_M_S_INF_H Returns the maximun value of n that satisfies the condition P<sub>n</sub> > 0
maxCustomers.M_M_S_INF_H_Y Returns the maximun value of n that satisfies the condition P<sub>n</sub> > 0
maxCustomers.M_M_S_K Returns the maximun value of n that satisfies the condition P<sub>n</sub> > 0
M_M_1 Obtains the main characteristics of a M/M/1 queueing model
M_M_1_INF_H Obtains the main characteristics of a M/M/1/Inf/H queueing model
M_M_1_K Obtains the main characteristics of a M/M/1/K queueing model
M_M_INF Obtains the main characteristics of a M/M/Inf queueing model
M_M_S Obtains the main characteristics of a M/M/s queueing model
M_M_S_INF_H Obtains the main characteristics of a M/M/s/Inf/H queueing model
M_M_S_INF_H_Y Obtains the main characteristics of a M/M/s/Inf/H with Y replacements queueing model
M_M_S_K Obtains the main characteristics of a M/M/S/k queueing model
no_distr Defines an empty object representing the inexistence of a distribution.
OpenJacksonNetwork Obtains the main characteristics of an Open Jackson network model
OpenNetwork Obtains the main characteristics of an Open Network model by simulation
P0i Steady-state probability of 0 customers in the system on the node i of an Open Jackson Network.
P0i.OpenJackson Steady-state probability of 0 customers in the system on the node i of an Open Jackson Network.
Pi Steady-state probability of n customers at node i of a network.
Pi.ClosedJackson Steady-state probability of n customers at node i of a network.
Pi.SimulatedNetwork Steady-state probability of n customers at node i of a network.
plot.list #Shows a plot of the evolution of a variable during the simulation # #
plot.SimulatedModel #Shows a plot of the evolution of a variable during the simulation # #
plot.SimulatedNetwork #Shows a plot of the evolution of a variable during the simulation # #
Pn Steady-state probability of having n customers in the system
Pn.ClosedJackson Steady-state probability of having n customers in the system
Pn.MarkovianModel Steady-state probability of having n customers in the system
Pn.M_M_1 Steady-state probability of having n customers in the system
Pn.M_M_1_INF_H Steady-state probability of having n customers in the system
Pn.M_M_1_K Steady-state probability of having n customers in the system
Pn.M_M_INF Steady-state probability of having n customers in the system
Pn.M_M_S Steady-state probability of having n customers in the system
Pn.M_M_S_INF_H Steady-state probability of having n customers in the system
Pn.M_M_S_INF_H_Y Steady-state probability of having n customers in the system
Pn.M_M_S_K Steady-state probability of having n customers in the system
Pn.OpenJackson Steady-state probability of having n customers in the system
Pn.SimulatedModel Steady-state probability of having n customers in the system
Qn Steady-state probability of finding n customers in the system when a new customer arrives
Qn.MarkovianModel Steady-state probability of finding n customers in the system when a new customer arrives
Qn.M_M_1_INF_H Steady-state probability of finding n customers in the system when a new customer arrives
Qn.M_M_1_K Steady-state probability of finding n customers in the system when a new customer arrives
Qn.M_M_S_INF_H Steady-state probability of finding n customers in the system when a new customer arrives
Qn.M_M_S_INF_H_Y Steady-state probability of finding n customers in the system when a new customer arrives
Qn.M_M_S_K Steady-state probability of finding n customers in the system when a new customer arrives
qqcompggplot2 Q-Q Plot using the package ggplot2
summary.MarkovianModel Shows the main graphics of the parameters of a Markovian Model
summaryFit Shows three plots:The histogram and theoretical densities, the empirical and theoretical CDF's and the Q-Q plot