Package jline.api.qsys

Class Qsys_mm1_dps

java.lang.Object

jline.api.qsys.Qsys_mm1_dps

public final class Qsys_mm1_dps
extends Object

Method Summary

Modifier and Type	Method	Description
static Matrix	qsys_mm1_dps(Matrix lambda, Matrix mu, Matrix w)	Solves the M/M/1-DPS queue exactly on a truncated state space.

Methods inherited from class java.lang.Object

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

Method Details

qsys_mm1_dps

public static Matrix qsys_mm1_dps(Matrix lambda,
 Matrix mu,
 Matrix w)

Solves the M/M/1-DPS queue exactly on a truncated state space. The chain lives on the per-class population vector (n_1..n_K) with arrival rates lambda_k and class-k completion rate mu_k * n_k * w_k / sum_j n_j * w_j. The truncation level starts from the geometric tail bound and doubles until the per-class mean counts are stable, so conservation of the M/M/1 total holds for equal service rates by construction.

Parameters:

lambda - per-class Poisson arrival rates (1,K)

mu - per-class exponential service rates (1,K)

w - per-class DPS weights (1,K), positive

Returns:

per-class mean response times (1,K) via Little's law