Package jline.api.qsys

Class Qsys_gig1_approx_kimura

java.lang.Object

jline.api.qsys.Qsys_gig1_approx_kimura

public final class Qsys_gig1_approx_kimura
extends Object

Method Summary

Modifier and Type	Method	Description
static HashMap<String,Object>	qsys_gig1_approx_kimura(double lambda, double mu, double ca, double cs)	G/G/1 queue approximation using Kimura's diffusion-interpolation method: Wq = rho*(ca2+cs2)/(mu*(1-rho)*(1+ca2)), exact for M/M/1 and M/G/1.

Methods inherited from class java.lang.Object

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

Method Details

qsys_gig1_approx_kimura

public static HashMap<String,Object> qsys_gig1_approx_kimura(double lambda,
 double mu,
 double ca,
 double cs)

G/G/1 queue approximation using Kimura's diffusion-interpolation method: Wq = rho*(ca2+cs2)/(mu*(1-rho)*(1+ca2)), exact for M/M/1 and M/G/1. The returned W adds the mean service time (response time, time in system).

Reference: Kimura, T. (1986). A two-moment approximation for the mean waiting time in the GI/G/s queue. Management Science 32(6), 751-763.

Parameters:

lambda - arrival rate

mu - service rate

ca - squared coefficient of variation of inter-arrival time

cs - squared coefficient of variation of service time

Returns:

HashMap containing W (mean response time) and rhohat