Package jline.api.qsys

Class Qsys_mm11_retrial

java.lang.Object

jline.api.qsys.Qsys_mm11_retrial

public final class Qsys_mm11_retrial
extends Object

Exact stationary distribution of the M/M/1/1 retrial queue.

Port of matlab/src/api/qsys/qsys_mm11_retrial.m. P0[n] is the probability that the server is idle with n customers in orbit, P1[n] that it is busy with n in orbit, for n = 0..nmax (default: the smallest nmax leaving a tail mass below 1e-12). N and Norb are the exact means (not truncated).

LINEAR (default): with rho = lambda/mu and a = lambda/nu (Falin and Templeton 1997, Sec. 1.2), given the server state the orbit size is negative binomial. CONSTANT: the levels decay geometrically with ratio r = lambda(lambda+nu)/(mu nu) (Fayolle 1986), stable iff r < 1.

Nested Class Summary

Nested Classes

Modifier and Type	Class	Description
static final class	Qsys_mm11_retrial.Result	Stationary probabilities and exact means.

Method Summary

Modifier and Type	Method	Description
static Qsys_mm11_retrial.Result	qsys_mm11_retrial(double lambda, double mu, double nu)	LINEAR policy, automatic truncation.
static Qsys_mm11_retrial.Result	qsys_mm11_retrial(double lambda, double mu, double nu, int policy)	Automatic truncation.
static Qsys_mm11_retrial.Result	qsys_mm11_retrial(double lambda, double mu, double nu, int policy, int nmax)

Methods inherited from class java.lang.Object

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

Method Details

qsys_mm11_retrial

public static Qsys_mm11_retrial.Result qsys_mm11_retrial(double lambda,
 double mu,
 double nu)

LINEAR policy, automatic truncation.

qsys_mm11_retrial

public static Qsys_mm11_retrial.Result qsys_mm11_retrial(double lambda,
 double mu,
 double nu,
 int policy)

Automatic truncation.

qsys_mm11_retrial

public static Qsys_mm11_retrial.Result qsys_mm11_retrial(double lambda,
 double mu,
 double nu,
 int policy,
 int nmax)

Parameters:

nmax - highest orbit level returned, negative for the automatic tail rule