Package jline.api.qsys

Class Qsys_gigk_approx_whitt

java.lang.Object

jline.api.qsys.Qsys_gigk_approx_whitt

public final class Qsys_gigk_approx_whitt
extends Object

Method Summary

Modifier and Type	Method	Description
static HashMap<String,Object>	qsys_gigk_approx_whitt(double lambda, double mu, double ca2, double cs2, int k)	GI/G/k approximation of Whitt (1993), eqs.

Methods inherited from class java.lang.Object

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

Method Details

qsys_gigk_approx_whitt

public static HashMap<String,Object> qsys_gigk_approx_whitt(double lambda,
 double mu,
 double ca2,
 double cs2,
 int k)

GI/G/k approximation of Whitt (1993), eqs. (2.16)-(2.25): Wq = phi(rho,ca2,cs2,k) * ((ca2+cs2)/2) * Wq(M/M/k), where phi interpolates the Cosmetatos M/D/k (phi1) and D/M/k (phi3) correction factors. Exact for M/M/k; reduces to the Cosmetatos M/D/k approximation for cs2=0. Implements eq. (2.25) as printed, which was validated against the paper's Tables 5-7 (New column).

Reference: Whitt, W. (1993). Approximations for the GI/G/m queue. Production and Operations Management 2(2), 114-161.

Parameters:

lambda - arrival rate

mu - service rate per server

ca2 - squared coefficient of variation of inter-arrival time

cs2 - squared coefficient of variation of service time

k - number of servers

Returns:

HashMap containing L, W, Q, U