Package jline.lib.qmam

Class Q_DT_PH_PH_1

java.lang.Object

jline.lib.qmam.Q_DT_PH_PH_1

public final class Q_DT_PH_PH_1
extends Object

Method Summary

Modifier and Type	Method	Description
static DTQueueResult	qDtPhPh1(Matrix alpha, Matrix T, Matrix beta, Matrix S, MAPMAP1Options options)	Queue length distribution of a discrete-time DPH/DPH/1/FCFS queue.

Methods inherited from class java.lang.Object

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

Method Details

qDtPhPh1

public static DTQueueResult qDtPhPh1(Matrix alpha,
 Matrix T,
 Matrix beta,
 Matrix S,
 MAPMAP1Options options)

Queue length distribution of a discrete-time DPH/DPH/1/FCFS queue.

A discrete phase-type law (alpha, T) with absorption vector t = e - T*e renews at every event, so the arrival and service streams are the DMAPs (T, t*alpha) and (S, s*beta) and the queue is the DMAP/DMAP/1 one. Routing through Q_DT_MAP_MAP_1 keeps a single set of QBD blocks, and hence a single statement of the late-arrival-with-delayed-access convention, in the codebase.

Parameters:

alpha - 1 x ma initial phase vector of the interarrival DPH

T - ma x ma transient matrix of the interarrival DPH

beta - 1 x ms initial phase vector of the service DPH

S - ms x ms transient matrix of the service DPH

options - mode, maximum number of components and verbosity

Returns:

the queue length distribution, entry i being Prob[i in system]