Package jline.api.qsys

Class Qsys_gimc

java.lang.Object

jline.api.qsys.Qsys_gimc

public final class Qsys_gimc
extends Object

Exact analysis of the GI/M/c queue (Takacs 1962; Sztrik 2021, Table 21): renewal arrivals with interarrival LST A*(s), c exponential servers of rate mu, FCFS. omega in (0,1) is the root of omega = A*(c mu (1 - omega)); the number found by an arrival is geometric from c-1 on and given by alternating sums of boundary constants below; the waiting time is a mixture of an atom at zero and Exp(c mu (1 - omega)).

Java twin of matlab/src/api/qsys/qsys_gimc.m.

Method Summary

Modifier and Type	Method	Description
static Map<String,Object>	qsys_gimc(DoubleUnaryOperator lst, double mu, int c, Double lambda, double[] tPoints, double[] percentiles, Integer nmax)	Interarrival law given by its LST A*(s) = E[exp(-s A)]; the arrival rate lambda = 1/E[A] is then required.
static Map<String,Object>	qsys_gimc(Distribution LA, double mu, int c)	Interarrival law given as a Distribution (arrival rate 1/E[A]).
static Map<String,Object>	qsys_gimc(Distribution LA, double mu, int c, Double lambda, double[] tPoints, double[] percentiles, Integer nmax)	Interarrival law given as a Distribution.

Methods inherited from class java.lang.Object

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

Method Details

qsys_gimc

public static Map<String,Object> qsys_gimc(Distribution LA,
 double mu,
 int c)

Interarrival law given as a Distribution (arrival rate 1/E[A]).

qsys_gimc

public static Map<String,Object> qsys_gimc(Distribution LA,
 double mu,
 int c,
 Double lambda,
 double[] tPoints,
 double[] percentiles,
 Integer nmax)

Interarrival law given as a Distribution.

Parameters:

lambda - arrival rate, or null for 1/LA.getMean()

tPoints - time points of the waiting/sojourn cdfs, or null

percentiles - percentiles in (0, 100) of W and T, or null

nmax - length of queueLengthDist and arrivalDist, or null

qsys_gimc

public static Map<String,Object> qsys_gimc(DoubleUnaryOperator lst,
 double mu,
 int c,
 Double lambda,
 double[] tPoints,
 double[] percentiles,
 Integer nmax)

Interarrival law given by its LST A*(s) = E[exp(-s A)]; the arrival rate lambda = 1/E[A] is then required.