Package jline.lang.processes

Class MMAP

java.lang.Object

jline.lang.processes.Distribution

jline.lang.processes.ContinuousDistribution

jline.lang.processes.Markovian

jline.lang.processes.MarkovModulated

jline.lang.processes.Marked

jline.lang.processes.MarkedMAP

jline.lang.processes.MMAP

All Implemented Interfaces:

Serializable, Copyable

public class MMAP
extends MarkedMAP
implements Serializable

A Marked Markovian Arrival Process (MMAP) MMAP is a point process where arrivals are categorized into K different types (marks). Uses the standard MMAP representation: - D0: infinitesimal generator for transitions without arrivals - D1: rate matrix for transitions generating type-1 arrivals - D2: rate matrix for transitions generating type-2 arrivals - ... - Dk: rate matrix for transitions generating type-k arrivals This class is an alias for MarkedMAP, providing a consistent naming convention with other distribution classes in LINE.

See Also:

• Serialized Form

Field Summary

Fields inherited from class jline.lang.processes.Markovian

nPhases, process

Fields inherited from class jline.lang.processes.Distribution

immediate, mean, name, numParam, params, support

Constructor Summary

Constructors

Constructor	Description
MMAP()	Default constructor creating an empty MMAP
MMAP(MatrixCell mmap)	Construct an MMAP from a MatrixCell.
MMAP(Matrix D0, Matrix... Dk)	Construct an MMAP from D0 and a variable number of per-type matrices.

Method Summary

Modifier and Type	Method	Description
static MMAP	fromMAPs(Matrix D0, Matrix D1, Matrix D2)	Factory method to create a simple 2-type MMAP from two MAPs
String	getName()	Returns the name of this distribution type.
int	getNumTypes()	Get the number of arrival types (marks) in this MMAP
Matrix	getTypeMatrix(int type)	Get the D_k matrix for arrival type k
String	toString()

Methods inherited from class jline.lang.processes.MarkedMAP

getNumberOfTypes, normalize, sample, sample, toMAP, toMAPs, toTimeReversed

Methods inherited from class jline.lang.processes.Marked

D, D, getD1k

Methods inherited from class jline.lang.processes.MarkovModulated

evalACFT, getACFDecay

Methods inherited from class jline.lang.processes.Markovian

acf, embedded, embeddedProb, evalCDF, evalCDF, evalLST, evalMeanT, evalVarT, getACF, getACF, getEmbedded, getEmbeddedProb, getIDC, getIDI, getInitProb, getMean, getMoments, getMu, getNumberOfPhases, getPhi, getProcess, getRate, getSCV, getSkewness, getSubgenerator, getVar, getVariance, idc, idi, initProb, mean, moments, mu, numberOfPhases, numPhases, phi, process, rate, scv, setMean, setProcess, setRate, skewness, subgenerator, var, variance

Methods inherited from class jline.lang.processes.Distribution

evalProbInterval, getNumParams, getParam, getSupport, isContinuous, isDisabled, isDiscrete, isImmediate, isMarkovian, name, numParams, param, setNumParams, setParam, support

Methods inherited from class java.lang.Object

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

Methods inherited from interface jline.lang.Copyable

copy

Constructor Details

MMAP

public MMAP()

Default constructor creating an empty MMAP

MMAP

public MMAP(MatrixCell mmap)

Construct an MMAP from a MatrixCell. The cell is normalized to the M3A layout {D0, D1_agg, D11, ..., D1K} (see MarkedMAP(MatrixCell)); both the M3A layout and the per-type layout {D0, D11, ..., D1K} are accepted.

Parameters:

mmap - the process matrices

MMAP

public MMAP(Matrix D0,
 Matrix... Dk)

Construct an MMAP from D0 and a variable number of per-type matrices. The aggregate D1 = sum(Dk) is inserted at index 1 so the stored process follows the M3A layout {D0, D1_agg, D11, ..., D1K}.

Parameters:

D0 - the infinitesimal generator for transitions without arrivals

Dk - per-type matrices; Dk[i-1] generates type-i arrivals

Method Details

getName

public String getName()

Returns the name of this distribution type.

Overrides:

getName in class Distribution

Returns:

"MMAP" to identify this as a Marked Markovian Arrival Process

getNumTypes

public int getNumTypes()

Get the number of arrival types (marks) in this MMAP

Returns:

the number of arrival types K (M3A layout: size-2)

getTypeMatrix

public Matrix getTypeMatrix(int type)

Get the D_k matrix for arrival type k

Parameters:

type - the arrival type (1, 2, 3, ...)

Returns:

D_k matrix for the specified type (M3A cell 1+type), or null if out of range

fromMAPs

public static MMAP fromMAPs(Matrix D0,
 Matrix D1,
 Matrix D2)

Factory method to create a simple 2-type MMAP from two MAPs

Parameters:

D0 - the shared D0 matrix (transitions without arrivals)

D1 - rate matrix for type-1 arrivals

D2 - rate matrix for type-2 arrivals

Returns:

an MMAP with two arrival types

toString

public String toString()

Overrides:

toString in class Object