Package jline.api.qsys

Class Qsys_gig1_approx_myskja

java.lang.Object

jline.api.qsys.Qsys_gig1_approx_myskja

public final class Qsys_gig1_approx_myskja
extends Object

Method Summary

Modifier and Type	Method	Description
static HashMap<String,Object>	qsys_gig1_approx_myskja(double lambda, double mu, double ca, double cs, double q0, double qa)	G/G/1 queue approximation using Myskja's third-moment method: Wq = rho/(2*mu*(1-rho))*((1+cs2)+(q0/qa)^(1/rho-rho)*(1/rho)*(ca2-1)), exact for M/G/1 (ca2=1).

Methods inherited from class java.lang.Object

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

Method Details

qsys_gig1_approx_myskja

public static HashMap<String,Object> qsys_gig1_approx_myskja(double lambda,
 double mu,
 double ca,
 double cs,
 double q0,
 double qa)

G/G/1 queue approximation using Myskja's third-moment method: Wq = rho/(2*mu*(1-rho))*((1+cs2)+(q0/qa)^(1/rho-rho)*(1/rho)*(ca2-1)), exact for M/G/1 (ca2=1). The returned W adds the mean service time (response time, time in system).

Parameters:

lambda - arrival rate

mu - service rate

ca - squared coefficient of variation of inter-arrival time

cs - squared coefficient of variation of service time

q0 - lowest value of the relative third moment for a given mean and SCV

qa - third relative moment E[X^3]/6/E[X]^3, X=inter-arrival time r.v.

Returns:

HashMap containing W (mean response time) and rhohat