Package jline.api.snc

Class Snc_env_cpoisson

java.lang.Object

jline.api.snc.Snc_env_cpoisson

public final class Snc_env_cpoisson
extends Object

MGF arrival envelope of a compound Poisson flow with Exp job sizes.

Jobs arrive Poisson at rate lambda and each carries an Exp(mu) amount of work, so rho(theta) = lambda/(mu-theta) for 0 < theta < mu and the burst is zero. Fed to a constant-rate server of rate mu (Snc_srv_rate) this is the network calculus model of the M/M/1 queue in units of WORK; the delay bound then decays at rate mu-lambda, the exact asymptotic decay rate of the M/M/1 waiting time.

Port of matlab/src/api/snc/snc_env_cpoisson.m.

Method Summary

Modifier and Type	Method	Description
static SncEnvelope	of(double lambda, double mu)
static double[]	snc_env_cpoisson(double lambda, double mu, double theta)

Methods inherited from class java.lang.Object

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

Method Details

snc_env_cpoisson

public static double[] snc_env_cpoisson(double lambda,
 double mu,
 double theta)

Parameters:

lambda - job arrival rate, jobs per slot

mu - rate of the Exp job size, so the mean work per job is 1/mu

theta - Chernoff parameter, theta > 0

Returns:

{sigma, rho}, with rho = Infinity when theta >= mu

of

public static SncEnvelope of(double lambda,
 double mu)

Parameters:

lambda - job arrival rate

mu - rate of the Exp job size

Returns:

the envelope as a function of theta