Package jline.lib.qmam

Class Q_DT_MAP_MAP_1

java.lang.Object

jline.lib.qmam.Q_DT_MAP_MAP_1

public final class Q_DT_MAP_MAP_1
extends Object

Method Summary

Modifier and Type	Method	Description
static DTQueueResult	qDtMapMap1(Matrix C0, Matrix C1, Matrix D0, Matrix D1, MAPMAP1Options options)	Queue length distribution of a discrete-time DMAP/DMAP/1/FCFS queue.

Methods inherited from class java.lang.Object

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

Method Details

qDtMapMap1

public static DTQueueResult qDtMapMap1(Matrix C0,
 Matrix C1,
 Matrix D0,
 Matrix D1,
 MAPMAP1Options options)

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

Convention: late arrival system with delayed access. The QBD blocks encode it directly, A_1 = kron(C1,D0) being the statement that a job arriving at the end of a slot cannot be served within it, and A_0 = kron(C0,D0) + kron(C1,D1) that a simultaneous arrival and completion leave the level unchanged. The boundary row B_k = kron(C_k, I) freezes the service phase while the system is empty. This matches the LDES slotted engine, whose intra-slot order is completion, internal movement, arrival, bookkeeping.

Only the queue length is returned. The waiting and sojourn pmfs that Q_DT_MAP_MAP_1.m also computes are deliberately not ported: no LINE caller consumes them, and the MATLAB discrete-time solver path reads the queue length alone. They should be added here, not approximated by a caller, when a discrete-time getCdfRespT is wired.

Parameters:

C0 - ma x ma matrix of the arrival DMAP, transitions without arrival

C1 - ma x ma matrix of the arrival DMAP, transitions with arrival

D0 - ms x ms matrix of the service DMAP, transitions without completion

D1 - ms x ms matrix of the service DMAP, transitions with completion

options - mode, maximum number of components and verbosity

Returns:

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