Package jline.api.aoi

Class Aoi_lcfspr_gim1

java.lang.Object

jline.api.aoi.Aoi_lcfspr_gim1

public final class Aoi_lcfspr_gim1
extends Object

Method Summary

Modifier and Type	Method	Description
static AoiLstResult	aoi_lcfspr_gim1(LstFunction Y_lst, double mu, double E_Y, double E_Y2)	Mean AoI and LST for GI/M/1 preemptive LCFS queue.

Methods inherited from class java.lang.Object

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

Method Details

aoi_lcfspr_gim1

public static AoiLstResult aoi_lcfspr_gim1(LstFunction Y_lst,
 double mu,
 double E_Y,
 double E_Y2)

Mean AoI and LST for GI/M/1 preemptive LCFS queue.

Exact: the age is the backward recurrence time of the arrivals plus an independent Exp(mu), so A*(s) = (mu/(s+mu))*lambda*(1 - Y*(s))/s and E[A] = lambda*E[Y^2]/2 + 1/mu; E[Apeak] = E[S given success] + 1/(lambda*q) with q = 1 - Y*(mu).

Parameters:

Y_lst - LST of interarrival time distribution

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

E_Y - Mean interarrival time (first moment), must be positive

E_Y2 - Second moment of interarrival time, must be at least E_Y^2

Returns:

AoiLstResult containing meanAoI, lstAoI, peakAoI

Throws:

IllegalArgumentException - if parameters are invalid or system is unstable