Package jline.api.qsys

Class Qsys_mm1

java.lang.Object

jline.api.qsys.Qsys_mm1

public final class Qsys_mm1
extends Object

M/M/1 queueing system analysis.

Implements exact analytical solutions for the M/M/1 queue (Poisson arrivals, exponential service times, single server). This fundamental queueing model provides closed-form expressions for key performance metrics used in capacity planning and system design.

Since:

LINE 3.0

Method Summary

Modifier and Type	Method	Description
static Ret.qsys	qsys_mm1(double lambda, double mu)	Analyzes an M/M/1 queueing system.
static Map<String,Object>	qsys_mm1(double lambda, double mu, double[] tPoints, double[] percentiles, Integer nmax)	Full M/M/1 measures (the MATLAB third output res of qsys_mm1).

Methods inherited from class java.lang.Object

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

Method Details

qsys_mm1

public static Ret.qsys qsys_mm1(double lambda,
 double mu)

Analyzes an M/M/1 queueing system.

Parameters:

lambda - Arrival rate.

mu - Service rate.

Returns:

qsysReturn containing average waiting time (W) and utilization (rho).

qsys_mm1

public static Map<String,Object> qsys_mm1(double lambda,
 double mu,
 double[] tPoints,
 double[] percentiles,
 Integer nmax)

Full M/M/1 measures (the MATLAB third output res of qsys_mm1).

Parameters:

tPoints - time points of the waiting/sojourn cdfs and busy-period pdf, or null

percentiles - percentiles of the waiting/sojourn time, or null

nmax - last level of queueLengthDist, or null (tail below 1e-14)

Returns:

the res struct, with the MATLAB field names