ikr.simlib.distributions.continuous.statedep

Class MAPDistribution

java.lang.Object

ikr.simlib.distributions.Distribution

ikr.simlib.distributions.continuous.ContinuousDistribution

ikr.simlib.distributions.continuous.statedep.MAPDistribution

All Implemented Interfaces:

ReflectionConstructable, ReflectionConstructable3<SimNode,Parameters,RandomNumberGenerator>

Direct Known Subclasses:

MMPPDistribution

public class MAPDistribution
extends ContinuousDistribution

MAP (Markovian Arrival Process)

Meaning:	Modeling of sources with multiple states e.g., at the call level
Description:	State machine with \(m\) states. Continuous Markovian process with the transition rate \(q_{ij}\) from state \(i\) to state \(j\), which is composed of two components: \(q_{ij} = c_{ij} + d_{ij}\) Transition rate from state \(i\) to state \(j \mbox{ } (j \neq i)\) without an arrival event upon transition: \(c_{ij}\) Transition rate from state \(i\) to state \(j\) with an arrival event upon transition: \(d_{ij}\) According to definition: \(c_{ii} = -\sum\limits_{i \neq i} c_{ij}-\sum\limits_{i} d_{ij} \Rightarrow q_{ii} = -\sum\limits_{i \neq i} q_{ij}\)
Parameters:	- number of states \(m\) - transition rates without arrival \(c_{ij}\) - transition rates with arrival \(d_{ij}\)
Characteristic values:	See Reference LUCANTONI
Parser example:	[...].distribution = MAPDistribution [...].distribution.States = 2 [...].distribution.CMAP = [[-0.26 0.05] [0.05 -0.47]] [...].distribution.DMAP = [[0.2 0.01] [0.02 0.4]]
References:	P. J. KÜHN: Reminder on queueing theory for ATM networks. Telecommunication Systems, No. 5, 1996, pp. 1-24. D. M. LUCANTONI, K. S. MEIER-HELLSTERN, M. F. NEUTS: A Single-Server Queue with Server Vacations and a Class of Non-Renewal Arrival Processes. Advances in Applied Probability, Vol. 22, No. 1, 1989, pp. 676-705. G. D. STAMOULIS, M. E. ANAGNOSTOU, A. D. GEORGANTAS: Traffic source models for ATM networks: a survey. Computer Communications, Vol. 17, No. 6, Juni, 1994. D. M. LUCANTONI, K. S. MEIER-HELLSTERN, M. F. NEUTS: A Single-Server Queue with Server Vacations and a Class of Non-Renewal Arrival Processes. Advances in Applied Probability, Vol. 22, No. 1, 1989, pp. 676-705.

Nested Class Summary

Nested Classes

Modifier and Type	Class and Description
static class	MAPDistribution.MAPStateParameters

Field Summary

Fields

Modifier and Type	Field and Description
int	noOfStates
MAPDistribution.MAPStateParameters[]	stateParameters

Fields inherited from class ikr.simlib.distributions.Distribution

rng

Fields inherited from interface ikr.simlib.parameters.reflection.ReflectionConstructable

CREATE_INSTANCE_METHOD_NAME

Constructor Summary

Constructors

Constructor and Description
MAPDistribution(int noOfStates, double[][] c, double[][] d)
MAPDistribution(int noOfStates, double[][] c, double[][] d, RandomNumberGenerator rng)

Method Summary

Methods

Modifier and Type	Method and Description
static MAPDistribution	createInstance(SimNode ownNode, Parameters pars, RandomNumberGenerator rng) as required by ReflectionConstructable
int	getCurrentState()
double	next() Create random numbers
void	reset() The default behavior is to do nothing.

Methods inherited from class ikr.simlib.distributions.Distribution

getDefaultRNG, getRandomNumberGenerator

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

noOfStates

public final int noOfStates

stateParameters

public final MAPDistribution.MAPStateParameters[] stateParameters

Constructor Detail

MAPDistribution

public MAPDistribution(int noOfStates,
               double[][] c,
               double[][] d,
               RandomNumberGenerator rng)

MAPDistribution

public MAPDistribution(int noOfStates,
               double[][] c,
               double[][] d)

Method Detail

createInstance

public static MAPDistribution createInstance(SimNode ownNode,
                             Parameters pars,
                             RandomNumberGenerator rng)

as required by ReflectionConstructable

next

public double next()

Description copied from class: ContinuousDistribution

Create random numbers

Specified by:

next in class ContinuousDistribution

reset

public void reset()

Description copied from class: Distribution

The default behavior is to do nothing. Some state dependent distributions override the function

Overrides:

reset in class Distribution

getCurrentState

public int getCurrentState()