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.

AuthorPedro Canadilla
Date of publication2016-11-05 20:24:57
MaintainerPedro Canadilla <pedro.canadilla@gmail.com>
LicenseGPL-2
Version0.2.8
https://www.r-project.org

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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 queueing/man/W.o_MM1KK.Rd queueing/man/L.o_OJN.Rd queueing/man/CheckInput.i_MMCKM.Rd queueing/man/SP.Rd queueing/man/summary.o_MMC.Rd queueing/man/Throughputcn.o_MCCN.Rd queueing/man/Throughput.o_MMC.Rd queueing/man/Lk.o_OJN.Rd 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