NewInput.MCMN {queueing}

Define the inputs of a MultiClass Mixed Network

Description

Define the inputs of a MultiClass Mixed Network

Usage

NewInput.MCMN(
  classes, vLambda, vNumber, vThink, nodes, vType, vVisit, vService, method=0, tol=0.01
)

Arguments

classes

The number of classes

vLambda

It is a vector with the rate of arrivals of each class

vNumber

A vector with the number of customers of each class

vThink

A vector with the think time of each class

nodes

The number of nodes in the network

vType

A vector with the type of node: "Q" for queueing nodes or "D" for delay nodes

vVisit

A matrix[i, j]. The rows represents the different visit count for each class i to each node j. Take caution about the orden: open classes are defined first and closed clasess are defined second

vService

A matrix[i, j]. The rows represents the different service times for each class i in each node j. Take caution about the orden: open classes are defined first and closed clasess are defined second.

method

If method is 0, the exact MVA algorith is used. If method is 1, the Bard-Schweitzer approximation algorithm is used

tol

If the parameter method is 1, this is the tolerance parameter of the algorithm

Details

Define the inputs of a MultiClass Mixed Network

References

[Lazowska84] Edward D. Lazowska, John Zahorjan, G. Scott Graham, and Kenneth C. Sevcik (1984).
Quantitative System Performance: Computer System Analysis Using Queueing Network Models.
Prentice-Hall, Inc., Englewood Cliffs, New Jersey

See Also

QueueingModel.i_MCMN

Examples

## See example in pag 147 in reference [Lazowska84] for more details.

classes <- 4 # A and B are open classes and C and D are closed classes.
vLambda <- c(1, 1/2)
vNumber <- c(1, 1)
vThink <- c(0, 0)
nodes <- 2
vType <- c("Q", "Q")

# When the visit ratios and vService are set,
#   be sure that the open classes are in the first positions
#   and the closed classes after the open classes.
vVisit <- matrix(data=1, nrow=4, ncol=2)

# A and B are open clasess:
#   with demand service of 1/4 and 1/2 at the node 1 and 1/2 and 1 at the node 2
# C and D are open clasess:
#   with demand service of 1/4 and 1/2 at the node 1 and 1/2 and 1 at the node 2 
vService <- matrix(data=c(1/4, 1/2, 1/2, 1, 1/6, 1, 1, 4/3), nrow=4, ncol=2)

i_mcmn1 <- NewInput.MCMN(classes, vLambda, vNumber, vThink, nodes, vType, vVisit, vService)