Package jline.api.aoi

Class Aoi_lcfspr_mgi1

java.lang.Object

jline.api.aoi.Aoi_lcfspr_mgi1

public final class Aoi_lcfspr_mgi1
extends Object

Method Summary

Modifier and Type	Method	Description
static AoiLstResult	aoi_lcfspr_mgi1(double lambda, LstFunction H_lst, double E_H, double E_H2)	Mean AoI and LST for M/GI/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_mgi1

public static AoiLstResult aoi_lcfspr_mgi1(double lambda,
 LstFunction H_lst,
 double E_H,
 double E_H2)

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

Exact: A*(s) = lambda*H*(s+lambda)/(s + lambda*H*(s+lambda)), E[A] = 1/(lambda*H*(lambda)), E[Apeak] = -H*'(lambda)/H*(lambda) + 1/(lambda*H*(lambda)). The age looks back over Exp(lambda) gaps to the first update whose service beat the next arrival.

Parameters:

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

H_lst - LST of service time distribution

E_H - Mean service time (first moment), must be positive

E_H2 - Second moment of service time (for reference)

Returns:

AoiLstResult containing meanAoI, lstAoI, peakAoI

Throws:

IllegalArgumentException - if parameters are invalid or system is unstable