queueing: Analysis of Queueing Networks and Models

It provides versatile tools for analysis of birth and death based Markovian Queueing Models and Single and Multiclass Product-Form Queueing Networks. It implements M/M/1, M/M/c, M/M/Infinite, M/M/1/K, M/M/c/K, M/M/c/c, M/M/1/K/K, M/M/c/K/K, M/M/c/K/m, M/M/Infinite/K/K, Multiple Channel Open Jackson Networks, Multiple Channel Closed Jackson Networks, Single Channel Multiple Class Open Networks, Single Channel Multiple Class Closed Networks and Single Channel Multiple Class Mixed Networks. Also it provides a B-Erlang, C-Erlang and Engset calculators. This work is dedicated to the memory of D. Sixto Rios Insua.

Author
Pedro Canadilla
Date of publication
2016-11-05 20:24:57
Maintainer
Pedro Canadilla <pedro.canadilla@gmail.com>
License
GPL-2
Version
0.2.8
URLs

View on CRAN

Man pages

B_erlang
Returns the probability that all servers are busy
C_erlang
Returns the probability to wait in queue because all servers...
CheckInput
Generic S3 method to check the params of a queueing model (or...
CheckInput.i_CJN
Check the input params of a Closed Jackson Network
CheckInput.i_MCCN
Check the input params of a MultiClass Closed Network
CheckInput.i_MCMN
Check the input params of a MultiClass Mixed Network
CheckInput.i_MCON
Check the input params of a MultiClass Open Network
CheckInput.i_MM1
Checks the input params of a M/M/1 queueing model
CheckInput.i_MM1K
Checks the input params of a M/M/1/K queueing model
CheckInput.i_MM1KK
Checks the input params of a M/M/1/K/K queueing model
CheckInput.i_MMC
Checks the input params of a M/M/c queueing model
CheckInput.i_MMCC
Checks the input params of a M/M/c/c queueing model
CheckInput.i_MMCK
Checks the input params of a M/M/c/K queueing model
CheckInput.i_MMCKK
Checks the input params of a M/M/c/K/K queueing model
CheckInput.i_MMCKM
Checks the input params of a M/M/c/K/m queueing model
CheckInput.i_MMInf
Checks the input params of a M/M/Infinite queueing model
CheckInput.i_MMInfKK
Checks the input params of a M/M/Infinite/K/K queueing model
CheckInput.i_OJN
Check the input params of an Open Jackson Network
CompareQueueingModels
Compare several queueing models in a tabulated format
Engset
Returns the probability that all servers are busy
Inputs
Returns the input parameters of a queueing model (or network)
Inputs.o_CJN
Returns the input params of a Closed Jackson Network
Inputs.o_MCCN
Returns the input params of a MultiClass Closed Network
Inputs.o_MCMN
Returns the input params of a MultiClass Mixed Network
Inputs.o_MCON
Returns the input params of a MultiClass Open Network
Inputs.o_MM1
Returns the input parameters of a M/M/1 queueing model
Inputs.o_MM1K
Returns the input parameters of a M/M/1/K queueing model
Inputs.o_MM1KK
Returns the input parameters of a M/M/1/K/K queueing model
Inputs.o_MMC
Returns the input parameters of a M/M/c queueing model
Inputs.o_MMCC
Returns the input parameters of a M/M/c/c queueing model
Inputs.o_MMCK
Returns the input parameters of a M/M/c/K queueing model
Inputs.o_MMCKK
Returns the input parameters of a M/M/c/K/K queueing model
Inputs.o_MMCKM
Returns the input parameters of a M/M/c/K/m queueing model
Inputs.o_MMInf
Returns the input parameters of a M/M/Infinite queueing model
Inputs.o_MMInfKK
Returns the input parameters of a M/M/Infinite/K/K queueing...
Inputs.o_OJN
Returns the input params of an Open Jackson Network
L
Returns the mean number of customers in a queueing model (or...
Lc
Returns the vector with the mean number of customers of each...
Lck
Reports a matrix with the mean number of customers of class i...
Lck.o_MCCN
Reports a matrix with the mean number of customers of class i...
Lck.o_MCMN
Reports a matrix with the mean number of customers of class i...
Lck.o_MCON
Reports a matrix with the mean number of customers of class i...
Lc.o_MCCN
Returns the vector with the mean number of customers of each...
Lc.o_MCMN
Returns the vector with the mean number of customers of each...
Lc.o_MCON
Returns the vector with the mean number of customers of each...
Lk
Returns the vector with the mean number of customers in each...
Lk.o_CJN
Returns the vector with the mean number of customers in each...
Lk.o_MCCN
Returns a vector with the mean number of customers in each...
Lk.o_MCMN
Returns a vector with the mean number of customers in each...
Lk.o_MCON
Returns a vector with the mean number of customers in each...
Lk.o_OJN
Returns the vector with the mean number of customers in each...
L.o_CJN
Returns the mean number of customers of a Closed Jackson...
L.o_MCCN
Returns the mean number of customers of a MultiClass Closed...
L.o_MCMN
Returns the mean number of customers of a MultiClass Mixed...
L.o_MCON
Returns the mean number of customers of a MultiClass Open...
L.o_MM1
Returns the mean number of customers in the M/M/1 queueing...
L.o_MM1K
Returns the mean number of customers in the M/M/1/K queueing...
L.o_MM1KK
Returns the mean number of customers in the M/M/1/K/K...
L.o_MMC
Returns the mean number of customers in the M/M/c queueing...
L.o_MMCC
Returns the mean number of customers in the M/M/c/c queueing...
L.o_MMCK
Returns the mean number of customers in the M/M/c/K queueing...
L.o_MMCKK
Returns the mean number of customers in the M/M/c/K/K...
L.o_MMCKM
Returns the mean number of customers in the M/M/c/K/m...
L.o_MMInf
Returns the mean number of customers in the M/M/Infinite...
L.o_MMInfKK
Returns the mean number of customers in the M/M/Infinite/K/K...
L.o_OJN
Returns the mean number of customers of an Open Jackson...
Lq
Returns the mean number of customers in the queue in a...
Lq.o_MM1
Returns the mean number of customers in the queue in the...
Lq.o_MM1K
Returns the mean number of customers in the queue in the...
Lq.o_MM1KK
Returns the mean number of customers in the queue in the...
Lq.o_MMC
Returns the mean number of customers in the queue in the...
Lq.o_MMCC
Returns the mean number of customers in the queue in the...
Lq.o_MMCK
Returns the mean number of customers in the queue in the...
Lq.o_MMCKK
Returns the mean number of customers in the queue in the...
Lq.o_MMCKM
Returns the mean number of customers in the queue in the...
Lq.o_MMInf
Returns the mean number of customers in the queue in the...
Lq.o_MMInfKK
Returns the mean number of customers in the queue in the...
Lqq
Returns the mean number of customers in queue when there is...
Lqq.o_MM1
Returns the mean number of customers in queue when there is...
Lqq.o_MM1K
Returns the mean number of customers in queue when there is...
Lqq.o_MM1KK
Returns the mean number of customers in queue when there is...
Lqq.o_MMC
Returns the mean number of customers in queue when there is...
Lqq.o_MMCC
Returns the mean number of customers in queue when there is...
Lqq.o_MMCK
Returns the mean number of customers in queue when there is...
Lqq.o_MMCKK
Returns the mean number of customers in queue when there is...
Lqq.o_MMCKM
Returns the mean number of customers in queue when there is...
Lqq.o_MMInf
Returns the mean number of customers in queue when there is...
Lqq.o_MMInfKK
Returns the mean number of customers in queue when there is...
NewInput.CJN
Define the inputs of a Closed Jackson Network
NewInput.MCCN
Define the inputs of a MultiClass Closed Network
NewInput.MCMN
Define the inputs of a MultiClass Mixed Network
NewInput.MCON
Define the inputs of a MultiClass Open Network
NewInput.MM1
Define the inputs of a new M/M/1 queueing model
NewInput.MM1K
Define the inputs of a new M/M/1/K queueing model
NewInput.MM1KK
Define the inputs of a new M/M/1/K/K queueing model
NewInput.MMC
Define the inputs of a new M/M/c queueing model
NewInput.MMCC
Define the inputs of a new M/M/c/c queueing model
NewInput.MMCK
Define the inputs of a new M/M/c/K queueing model
NewInput.MMCKK
Define the inputs of a new M/M/c/K/K queueing model
NewInput.MMCKM
Define the inputs of a new M/M/c/K/m queueing model
NewInput.MMInf
Define the inputs of a new M/M/Infinite queueing model
NewInput.MMInfKK
Define the inputs of a new M/M/Infinite/K/K queueing model
NewInput.OJN
Define the inputs of an Open Jackson Network
Pn
Returns the probabilities of a queueing model (or network)
Pn.o_MM1
Returns the probabilities of a M/M/1 queueing model
Pn.o_MM1K
Returns the probabilities of a M/M/1/K queueing model
Pn.o_MM1KK
Returns the probabilities of a M/M/1/K/K queueing model
Pn.o_MMC
Returns the probabilities of a M/M/c queueing model
Pn.o_MMCC
Returns the probabilities of a M/M/c/c queueing model
Pn.o_MMCK
Returns the probabilities of a M/M/c/K queueing model
Pn.o_MMCKK
Returns the probabilities of a M/M/c/K/K queueing model
Pn.o_MMCKM
Returns the probabilities of a M/M/c/K/m queueing model
Pn.o_MMInf
Returns the probabilities of a M/M/Infinite queueing model
Pn.o_MMInfKK
Returns the probabilities of a M/M/Infinite/K/K queueing...
Pn.o_OJN
Returns vector of the probabilities of each node (server) of...
QueueingModel
Generic S3 method to build a queueing model (or network)
QueueingModel.i_CJN
Builds one Closed Jackson Network
QueueingModel.i_MCCN
Builds one MultiClass Closed Network
QueueingModel.i_MCMN
Builds one MultiClass Mixed Network
QueueingModel.i_MCON
Builds one MultiClass Open Network
QueueingModel.i_MM1
Builds a M/M/1 queueing model
QueueingModel.i_MM1K
Builds a M/M/1/K queueing model
QueueingModel.i_MM1KK
Builds a M/M/1/K/K queueing model
QueueingModel.i_MMC
Builds a M/M/c queueing model
QueueingModel.i_MMCC
Builds a M/M/c/c queueing model
QueueingModel.i_MMCK
Builds a M/M/c/K queueing model
QueueingModel.i_MMCKK
Builds a M/M/c/K/K queueing model
QueueingModel.i_MMCKM
Builds a M/M/c/K/m queueing model
QueueingModel.i_MMInf
Builds a M/M/Infinite queue model
QueueingModel.i_MMInfKK
Builds a M/M/Infinite/K/K queueing model
QueueingModel.i_OJN
Builds one Open Jackson Network
queueing-package
Analysis of Queueing Networks and Models.
RO
Reports the server use of a queueing model
ROck
Reports a matrix with the use of class i in each node...
ROck.o_MCCN
Reports a matrix with the use of class i in each node...
ROck.o_MCMN
Reports a matrix with the use of class i in each node...
ROck.o_MCON
Reports a matrix with the use of class i in each node...
ROk
Reports a vector with each node (server) use of a queueing...
ROk.o_CJN
Reports a vector with each node (server) use of a Closed...
ROk.o_MCCN
Reports a vector with each node (server) use of a MultiClass...
ROk.o_MCMN
Reports a vector with each node (server) use of a MultiClass...
ROk.o_MCON
Reports a vector with each node (server) use of a MultiClass...
ROk.o_OJN
Reports a vector with each node (server) use of an Open...
RO.o_MM1
Reports the server use of a M/M/1 queueing model
RO.o_MM1K
Reports the server use of a M/M/1/K queueing model
RO.o_MM1KK
Reports the server use of a M/M/1/K/K queueing model
RO.o_MMC
Reports the server use of a M/M/c queueing model
RO.o_MMCC
Reports the server use of a M/M/c/c queueing model
RO.o_MMCK
Reports the server use of a M/M/c/K queueing model
RO.o_MMCKK
Reports the server use of a M/M/c/K/K queueing model
RO.o_MMCKM
Reports the server use of a M/M/c/K/m queueing model
RO.o_MMInf
Reports the server use of a M/M/Infinite queueing model
RO.o_MMInfKK
Reports the server use of a M/M/Infinite/K/K queueing model
SP
Returns the saturation point of a queueing model
SP.o_MM1KK
Returns the saturation point of a M/M/1/K/K queueing model
summary.o_CJN
Reports the results of a Closed Jackson Network
summary.o_MCCN
Reports the results of a MultiClass Closed Network
summary.o_MCMN
Reports the results of a MultiClass Mixed Network
summary.o_MCON
Reports the results of a MultiClass Open Network
summary.o_MM1
Reports the results of a M/M/1 queueing model
summary.o_MM1K
Reports the results of a M/M/1/K queueing model
summary.o_MM1KK
Reports the results of a M/M/1/K/K queueing model
summary.o_MMC
Reports the results of a M/M/c queueing model
summary.o_MMCC
Reports the results of a M/M/c/c queueing model
summary.o_MMCK
Reports the results of a M/M/c/K queueing model
summary.o_MMCKK
Reports the results of a M/M/c/K/K queueing model
summary.o_MMCKM
Reports the results of a M/M/c/K/m queueing model
summary.o_MMInf
Reports the results of a M/M/Infinite queueing model
summary.o_MMInfKK
Reports the results of a M/M/Infinite/K/K queueing model
summary.o_OJN
Reports the results of an Open Jackson Network
Throughput
Throughput of a queueing model (or network)
Throughputc
Reports a vector with each class throughput in a multiclass...
Throughputck
Reports a matrix with the throughput of class i in each node...
Throughputck.o_MCCN
Reports a matrix with the throughput of class i in each node...
Throughputck.o_MCMN
Reports a matrix with the throughput of class i in each node...
Throughputck.o_MCON
Reports a matrix with the throughput of class i in each node...
Throughputcn
Returns a matrix with the Throughput from each class and...
Throughputcn.o_MCCN
Returns a matrix with the Throughput from each class and...
Throughputc.o_MCCN
Reports a vector with each class throughput in a MultiClass...
Throughputc.o_MCMN
Reports a vector with each class throughput in a MultiClass...
Throughputc.o_MCON
Reports a vector with each class throughput in a MultiClass...
Throughputk
Reports a vector with each node (server) throughput of a...
Throughputk.o_CJN
Reports a vector with each node (server) throughput of a...
Throughputk.o_MCCN
Reports a vector with each node (server) throughput of a...
Throughputk.o_MCMN
Reports a vector with each node (server) throughput of a...
Throughputk.o_MCON
Reports a vector with each node (server) throughput of a...
Throughputk.o_OJN
Reports a vector with each node (server) throughput of an...
Throughputn
Returns a vector with the each Throughput from 1 to the...
Throughputn.o_CJN
Returns a vector with the each Throughput from 1 to the...
Throughput.o_CJN
Reports the network throughput of a Closed Jackson Network
Throughput.o_MCCN
Reports the throughput of a MultiClass Closed Network
Throughput.o_MCMN
Reports the throughput of a MultiClass Mixed Network
Throughput.o_MCON
Reports the throughput of a MultiClass Open Network
Throughput.o_MM1
Throughput of a M/M/1 queueing model
Throughput.o_MM1K
Throughput of a M/M/1/K queueing model
Throughput.o_MM1KK
Throughput of a M/M/1/K/K queueing model
Throughput.o_MMC
Throughput of a M/M/c queueing model
Throughput.o_MMCC
Throughput of a M/M/c/c queueing model
Throughput.o_MMCK
Throughput of a M/M/c/K queueing model
Throughput.o_MMCKK
Throughput of a M/M/c/K/K queueing model
Throughput.o_MMCKM
Throughput of a M/M/c/K/m queueing model
Throughput.o_MMInf
Throughput of a M/M/Infinite queueing model
Throughput.o_MMInfKK
Throughput of a M/M/Infinite/K/K queueing model
Throughput.o_OJN
Reports the throughput of an Open Jackson Network
VN
Returns the variance of the number of customers in a queueing...
VN.o_MM1
Returns the variance of the number of customers in the M/M/1...
VN.o_MM1K
Returns the variance of the number of customers in the...
VN.o_MM1KK
Returns the variance of the number of customers in the...
VN.o_MMC
Returns the variance of the number of customers in the M/M/c...
VN.o_MMCC
Returns the variance of the number of customers in the...
VN.o_MMCK
Returns the variance of the number of customers in the...
VN.o_MMCKK
Returns the variance of the number of customers in the...
VN.o_MMCKM
Returns the variance of the number of customers in the...
VN.o_MMInf
Returns the variance of the number of customers in the...
VN.o_MMInfKK
Returns the variance of the number of customers in the...
VNq
Returns the variance of the number of customers in the queue...
VNq.o_MM1
Returns the variance of the number of customers in the queue...
VNq.o_MM1K
Returns the variance of the number of customers in the queue...
VNq.o_MM1KK
Returns the variance of the number of customers in the queue...
VNq.o_MMC
Returns the variance of the number of customers in the queue...
VNq.o_MMCC
Returns the variance of the number of customers in the queue...
VNq.o_MMCK
Returns the variance of the number of customers in the queue...
VNq.o_MMCKK
Returns the variance of the number of customers in the queue...
VNq.o_MMCKM
Returns the variance of the number of customers in the queue...
VNq.o_MMInf
Returns the variance of the number of customers in the queue...
VNq.o_MMInfKK
Returns the variance of the number of customers in the queue...
VT
Returns the variance of the time spend in a queueing model...
VT.o_MM1
Returns the variance of the time spend in the M/M/1 queueing...
VT.o_MM1K
Returns the variance of the time spend in the M/M/1/K...
VT.o_MM1KK
Returns the variance of the time spend in the M/M/1/K/K...
VT.o_MMC
Returns the variance of the time spend in the M/M/c queueing...
VT.o_MMCC
Returns the variance of the time spend in the M/M/c/c...
VT.o_MMInf
Returns the variance of the time spend in the M/M/Infinite...
VT.o_MMInfKK
Returns the variance of the time spend in the...
VTq
Returns the variance of the time spend in queue in a queueing...
VTq.o_MM1
Returns the variance of the time spend in queue in the M/M/1...
VTq.o_MM1K
Returns the variance of the time spend in queue in the...
VTq.o_MM1KK
Returns the variance of the time spend in queue in the...
VTq.o_MMC
Returns the variance of the time spend in queue in the M/M/c...
VTq.o_MMCC
Returns the variance of the time spend in queue in the...
VTq.o_MMCK
Returns the variance of the time spend in queue in the...
VTq.o_MMCKK
Returns the variance of the time spend in queue in the...
VTq.o_MMInf
Returns the variance of the time spend in queue in the...
VTq.o_MMInfKK
Returns the variance of the time spend in queue in the...
W
Returns the mean time spend in a queueing model (or network)
Wc
Returns the vector with each class mean time spend on a...
Wck
Reports a matrix with the mean time of class i in each node...
Wck.o_MCCN
Reports a matrix with the mean time of class i in each node...
Wck.o_MCMN
Reports a matrix with the mean time of class i in each node...
Wck.o_MCON
Reports a matrix with the mean time of class i in each node...
Wc.o_MCCN
Returns the vector with each class mean time spend on a...
Wc.o_MCMN
Returns the vector with each class mean time spend on a...
Wc.o_MCON
Returns the vector with each class mean time spend on a...
Wk
Generic S3 method to return the mean time spend in each node...
Wk.o_CJN
Returns the vector with the mean time spend in each node...
Wk.o_MCCN
Returns a vector with the mean time spend in each node...
Wk.o_MCMN
Returns a matrix with the mean time spend in each node...
Wk.o_MCON
Returns a matrix with the mean time spend in each node...
Wk.o_OJN
Returns the vector with the mean time spend in each node...
W.o_CJN
Returns the mean time spend in a Closed Jackson Network
W.o_MCCN
Returns the mean time spend in a MultiClass Closed Network
W.o_MCMN
Returns the mean time spend in a MultiClass Mixed Network
W.o_MCON
Returns the mean time spend in a MultiClass Open Network
W.o_MM1
Returns the mean time spend in the M/M/1 queueing model
W.o_MM1K
Returns the mean time spend in the M/M/1/K queueing model
W.o_MM1KK
Returns the mean time spend in the M/M/1/K/K queueing model
W.o_MMC
Returns the mean time spend in the M/M/c queueing model
W.o_MMCC
Returns the mean time spend in the M/M/c/c queueing model
W.o_MMCK
Returns the mean time spend in the M/M/c/K queueing model
W.o_MMCKK
Returns the mean time spend in the M/M/c/K/K queueing model
W.o_MMCKM
Returns the mean time spend in the M/M/c/K/m queueing model
W.o_MMInf
Returns the time spend in the M/M/Infinite queueing model
W.o_MMInfKK
Returns the mean time spend in the M/M/Infinite/K/K queueing...
W.o_OJN
Returns the mean time spend in an Open Jackson Network
Wq
Returns the mean time spend in queue in a queueing model
Wq.o_MM1
Returns the mean time spend in queue in the M/M/1 queueing...
Wq.o_MM1K
Returns the mean time spend in queue in the M/M/1/K queueing...
Wq.o_MM1KK
Returns the mean time spend in queue in the M/M/1/K/K...
Wq.o_MMC
Returns the mean time spend in queue in the M/M/c queueing...
Wq.o_MMCC
Returns the mean time spend in queue in the M/M/c/c queueing...
Wq.o_MMCK
Returns the mean time spend in queue in the M/M/c/K queueing...
Wq.o_MMCKK
Returns the mean time spend in queue in the M/M/c/K/K...
Wq.o_MMCKM
Returns the mean time spend in queue in the M/M/c/K/m...
Wq.o_MMInf
Returns the mean time spend in queue in the M/M/Infinite...
Wq.o_MMInfKK
Returns the mean time spend in queue in the M/M/Infinite/K/K...
Wqq
Returns the mean time spend in queue when there is queue in a...
Wqq.o_MM1
Returns the mean time spend in queue when there is queue in...
Wqq.o_MM1K
Returns the mean time spend in queue when there is queue in...
Wqq.o_MM1KK
Returns the mean time spend in queue when there is queue in...
Wqq.o_MMC
Returns the mean time spend in queue when there is queue in...
Wqq.o_MMCC
Returns the mean time spend in queue when there is queue in...
Wqq.o_MMCK
Returns the mean time spend in queue when there is queue in...
Wqq.o_MMCKK
Returns the mean time spend in queue when there is queue in...
Wqq.o_MMCKM
Returns the mean time spend in queue when there is queue in...
Wqq.o_MMInf
Returns the mean time spend in queue when there is queue in...
Wqq.o_MMInfKK
Returns the mean time spend in queue when there is queue in...
WWs
Returns the normalized mean response time in a queueing model
WWs.o_MM1KK
Returns the normalized mean response time in the M/M/1/K/K...

Files in this package

queueing
queueing/inst
queueing/inst/CITATION
queueing/inst/doc
queueing/inst/doc/index.html
queueing/inst/doc/Little_Law_When_Queue_Exists.pdf
queueing/NAMESPACE
queueing/R
queueing/R/queueing.R
queueing/MD5
queueing/DESCRIPTION
queueing/ChangeLog
queueing/man
queueing/man/Lq.Rd
queueing/man/Throughputk.o_MCMN.Rd
queueing/man/Lqq.o_MM1K.Rd
queueing/man/Inputs.o_MCON.Rd
queueing/man/Wc.o_MCMN.Rd
queueing/man/Pn.o_MMCKM.Rd
queueing/man/NewInput.MMInfKK.Rd
queueing/man/summary.o_MMCKM.Rd
queueing/man/L.o_MMCK.Rd
queueing/man/summary.o_MCMN.Rd
queueing/man/Pn.o_MM1K.Rd
queueing/man/VN.o_MMCC.Rd
queueing/man/RO.o_MM1KK.Rd
queueing/man/QueueingModel.i_MMCKK.Rd
queueing/man/VN.o_MMCKK.Rd
queueing/man/L.o_CJN.Rd
queueing/man/Engset.Rd
queueing/man/ROck.o_MCCN.Rd
queueing/man/QueueingModel.i_MMInf.Rd
queueing/man/Lqq.o_MMInfKK.Rd
queueing/man/Wc.Rd
queueing/man/QueueingModel.i_MCMN.Rd
queueing/man/Lk.o_MCON.Rd
queueing/man/ROk.o_MCMN.Rd
queueing/man/VT.o_MMC.Rd
queueing/man/Throughput.o_MM1KK.Rd
queueing/man/VN.Rd
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