Package jline.api.aoi

Class Aoi_fcfs_mm1

java.lang.Object

jline.api.aoi.Aoi_fcfs_mm1

public final class Aoi_fcfs_mm1
extends Object

Method Summary

Modifier and Type	Method	Description
static AoiResult	aoi_fcfs_mm1(double lambda, double mu)	Mean, variance, and peak AoI for M/M/1 FCFS queue.

Methods inherited from class java.lang.Object

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

Method Details

aoi_fcfs_mm1

public static AoiResult aoi_fcfs_mm1(double lambda,
 double mu)

Mean, variance, and peak AoI for M/M/1 FCFS queue.

Exact (Inoue et al. 2019): E[A] = (1/mu)(1 + 1/rho + rho^2/(1-rho)); E[Apeak] = (1/mu)(1 + 1/rho + rho/(1-rho)); E[A^2] = (2/mu^2)(1 - rho - rho^3 + 4*rho^4 - 2*rho^5)/(rho^2*(1-rho)^2).

Parameters:

lambda - Arrival rate (Poisson arrivals), must be positive

mu - Service rate (exponential service), must be positive

Returns:

AoiResult containing meanAoI, varAoI, peakAoI

Throws:

IllegalArgumentException - if parameters are invalid or system is unstable