Basic Markovian queueing models

Documentation for package ‘queueing’ version 0.1.4

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B C I L N P Q R S T W

-- B --

B_erlang

Returns the probability that all servers are busy

-- C --

CheckInput	Generic S3 method to check the params of a queueing model (or network)
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_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/Inf/K/K queueing model
CheckInput.i_OJN	Check the input params of a Open Jackson Network
C_erlang	Returns the probability to wait in queue bacause all servers are busy

-- I --

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_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/Inf/K/K queueing model
Inputs.o_OJN	Returns the input params of a Open Jackson Network

-- L --

L	Returns the mean number of clients in a queueing model (or network)
L.o_CJN	Returns the mean number of clients of a Closed Jackson Network
L.o_MCCN	Returns the mean number of clients of a MultiClass Closed Network
L.o_MCON	Returns the mean number of clients of a MultiClass Open Network
L.o_MM1	Returns the mean number of clients in the M/M/1 queueing model
L.o_MM1K	Returns the mean number of clients in the M/M/1/K queueing model
L.o_MM1KK	Returns the mean number of clients in the M/M/1/K/K queueing model
L.o_MMC	Returns the mean number of clients in the M/M/c queueing model
L.o_MMCC	Returns the mean number of clients in the M/M/c/c queueing model
L.o_MMCK	Returns the mean number of clients in the M/M/c/K queueing model
L.o_MMCKK	Returns the mean number of clients in the M/M/c/K/K queueing model
L.o_MMCKM	Returns the mean number of clients in the M/M/c/K/m queueing model
L.o_MMInf	Returns the mean number of clients in the M/M/Infinite queueing model
L.o_MMInfKK	Returns the mean number of clients in the M/M/Inf/K/K queueing model
L.o_OJN	Returns the mean number of clients of a Open Jackson Network
Lc	Returns the vector with the mean number of clients of each class in a multiclass queueing network
Lc.o_MCCN	Returns the vector with the mean number of clients of each class in a MultiClass Closed Network
Lc.o_MCON	Returns the vector with the mean number of clients of each class in a MultiClass Open Network
Lck	Reports a matrix with the mean number of clients of class i in each node (server) j in a MultiClass Network
Lck.o_MCCN	Reports a matrix with the mean number of clients of class i in each node (server) j in a MultiClass Closed Network
Lck.o_MCON	Reports a matrix with the mean number of clients of class i in each node (server) j in a MultiClass Open Network
Lk	Returns the vector with the mean number of clients in each node (server) of a queueing network
Lk.o_CJN	Returns the vector with the mean number of clients in each node (server) of a Closed Jackson Network
Lk.o_MCCN	Returns a vector with the mean number of clients in each node (server) of a MultiClass Closed Network
Lk.o_MCON	Returns a vector with the mean number of clients in each node (server) of a MultiClass Open Network
Lk.o_OJN	Returns the vector with the mean number of clients in each node (server) of a Open Jackson Network
LLq	Returns the mean number of clients in queue when there is queue in a queueing model
LLq.o_MM1	Returns the mean number of clients in queue when there is queue in the M/M/1 queueing model
LLq.o_MMInf	Returns the mean number of clients in queue when there is queue in the M/M/Infinite queueing model
LLq.o_MMInfKK	Returns the mean number of clients in queue when there is queue in the M/M/Infinite/K/K queueing model
Lq	Returns the mean number of clients in the queue in a queueing model
Lq.o_MM1	Returns the mean number of clients in the queue in the M/M/1 queueing model
Lq.o_MM1K	Returns the mean number of clients in the queue in the M/M/1/K queueing model
Lq.o_MM1KK	Returns the mean number of clients in the queue in the M/M/1/K/K queueing model
Lq.o_MMC	Returns the mean number of clients in the queue in the M/M/c queueing model
Lq.o_MMCC	Returns the mean number of clients in the queue in the M/M/c/c queueing model
Lq.o_MMCK	Returns the mean number of clients in the queue in the M/M/c/K queueing model
Lq.o_MMCKK	Returns the mean number of clients in the queue M/M/c/K/K queueing model
Lq.o_MMCKM	Returns the mean number of clients in the queue in the M/M/c/K/m queueing model
Lq.o_MMInf	Returns the mean number of clients in the queue in the M/M/Infinite queueing model
Lq.o_MMInfKK	Returns the mean number of clients in the queue in the M/M/Inf/K/K queueing model

-- N --

NewInput.CJN	Define the inputs of a new one class Closed Jackson Network
NewInput.MCCN	Define the inputs of a new one class of MultiClass Closed Network
NewInput.MCON	Define the inputs of a new one class of 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/Inf/K/K queueing model
NewInput.OJN	Define the inputs of a new one class Open Jackson Network

-- P --

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/Inf/K/K queueing model
Pn.o_OJN	Returns vector of the probabilities of each node (server) of a Open Jackson Network

-- Q --

QueueingModel	Generic S3 method to build a queueing model (or network)
QueueingModel.i_CJN	Builds one class Closed Jackson Network
QueueingModel.i_MCCN	Builds one class MultiClass Closed Network
QueueingModel.i_MCON	Builds one class 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/Inf/K/K queueing model
QueueingModel.i_OJN	Builds one class Open Jackson Network

-- R --

RO	Reports the server use of a queueing model
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/Inf/K/K queueing model
ROck	Reports a matrix with the use of class i in each node (server) j in a MultiClass Queueing Network
ROck.o_MCCN	Reports a matrix with the use of class i in each node (server) j in a MultiClass Closed Network
ROck.o_MCON	Reports a matrix with the use of class i in each node (server) j in a MultiClass Open Network
ROk	Reports a vector with each node (server) use of a queueing network
ROk.o_CJN	Reports a vector with each node (server) use of a Closed Jackson Network
ROk.o_MCCN	Reports a vector with each node (server) use of a MultiClass Closed Network
ROk.o_MCON	Reports a vector with each node (server) use of a MultiClass Open Network
ROk.o_OJN	Reports a vector with each node (server) use of a Open Jackson Network

-- S --

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_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/Inf/K/K queueing model
summary.o_OJN	Reports the results of a Open Jackson Network

-- T --

Throughput	Throughput of a queueing model (or network)
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_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/Inf/K/K queueing model
Throughput.o_OJN	Reports the throughput of a Open Jackson Network
Throughputc	Reports a vector with each class throughput in a multiclass queueing network
Throughputc.o_MCCN	Reports a vector with each class throughput in a MultiClass Closed Network
Throughputc.o_MCON	Reports a vector with each class throughput in a MultiClass Open Network
Throughputck	Reports a matrix with the throughput of class i in each node (server) j in a MultiClass Network
Throughputck.o_MCCN	Reports a matrix with the throughput of class i in each node (server) j in a MultiClass Closed Network
Throughputck.o_MCON	Reports a matrix with the throughput of class i in each node (server) j in a MultiClass Open Network
Throughputcn	Returns a matrix with the Throughput from each class and every population of a Multi Class Closed Network
Throughputcn.o_MCCN	Returns a matrix with the Throughput from each class and every population of a Multi Class Closed Network
Throughputk	Reports a vector with each node (server) throughput of a queueing network
Throughputk.o_CJN	Reports a vector with each node (server) throughput of a Closed Jackson Network
Throughputk.o_MCCN	Reports a vector with each node (server) throughput of a MultiClass Closed Network
Throughputk.o_MCON	Reports a vector with each node (server) throughput of a MultiClass Open Network
Throughputk.o_OJN	Reports a vector with each node (server) throughput of a Open Jackson Network
Throughputn	Returns a vector with the each Throughput from 1 to the parameter n (population passed as input) of a Closed Network
Throughputn.o_CJN	Returns a vector with the each Throughput from 1 to the parameter n (population passed as input) of a Closed Jackson Network

-- W --

W	Returns the mean time spend in a queueing model (or network)>
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_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 of clients 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 of clients in the M/M/Infinite queueing model
W.o_MMInfKK	Returns the mean time spend in the M/M/Inf/K/K queueing model
W.o_OJN	Returns the mean time spend in a Open Jackson Network
Wc	Returns the vector with each class mean time spend on a multiclass queueing network
Wc.o_MCCN	Returns the vector with each class mean time spend on a MultiClass Closed Network
Wc.o_MCON	Returns the vector with each class mean time spend on a MultiClass Open Network
Wck	Reports a matrix with the mean time of class i in each node (server) j in a MultiClass Queueing Network
Wck.o_MCCN	Reports a matrix with the mean time of class i in each node (server) j in a MultiClass Closed Network
Wck.o_MCON	Reports a matrix with the mean time of class i in each node (server) j in a MultiClass Open Network
Wk	Generic S3 method to return the mean time spend in each node (or server) of a network
Wk.o_CJN	Returns the vector with the mean time spend in each node (server) of a Closed Jackson Network
Wk.o_MCCN	Returns a vector with the mean time spend in each node (server) of a MultiClass Closed Network
Wk.o_MCON	Returns a matrix with the mean time spend in each node (server) of a MultiClass Open Network
Wk.o_OJN	Returns the vector with the mean time spend in each node (server) of a 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 model
Wq.o_MM1K	Returns the mean time spend in queue in the M/M/1/K queueing model
Wq.o_MM1KK	Returns the mean time spend in queue in the M/M/1/K/K queueing model
Wq.o_MMC	Returns the mean time spend in queue in the M/M/c queueing model
Wq.o_MMCC	Returns the mean time spend in queue in the M/M/c/c queueing model
Wq.o_MMCK	Returns the mean time spend in queue in the M/M/c/K queueing model
Wq.o_MMCKK	Returns the mean time spend in queue in the M/M/c/K/K queueing model
Wq.o_MMCKM	Returns the mean time spend in queue in the M/M/c/K/m queueing model
Wq.o_MMInf	Returns the mean time spend in queue in the M/M/Infinite queueing model
Wq.o_MMInfKK	Returns the mean time spend in queue in the M/M/Inf/K/K queueing model
WWq	Returns the mean time spend in queue when there is queue in a queueing model
WWq.o_MM1	Returns the mean time spend in queue when there is queue in the M/M/1 queueing model
WWq.o_MM1K	Returns the mean time spend in queue when there is queue in the M/M/1/K queueing model
WWq.o_MM1KK	Returns the mean time spend in queue when there is queue in the M/M/1/K/K queueing model
WWq.o_MMC	Returns the mean time spend in queue when there is queue in the M/M/c queueing model
WWq.o_MMCC	Returns the mean time spend in queue when there is queue in the M/M/c/c queueing model
WWq.o_MMCK	Returns the mean time spend in queue when there is queue in the M/M/c/K queueing model
WWq.o_MMCKK	Returns the mean time spend in queue when there is queue in the M/M/c/K/K queueing model
WWq.o_MMCKM	Returns the mean time spend in queue when there is queue in the M/M/c/K/m queueing model
WWq.o_MMInf	Returns the mean time spend in queue when there is queue in the M/M/Infinite queueing model
WWq.o_MMInfKK	Returns the mean time spend in queue when there is queue in the M/M/Inf/K/K queueing model
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 queueing model