Package jline.api.snc

Class Snc_leftover

java.lang.Object

jline.api.snc.Snc_leftover

public final class Snc_leftover
extends Object

Leftover service envelope under blind (arbitrary) multiplexing.

A server with envelope (sigmaS,rhoS) shared with a cross flow of arrival envelope (sigmaX,rhoX) leaves the flow of interest the service process S-X, whose envelope is rho = rhoS-rhoX, sigma = sigmaS+sigmaX.

The subtraction of the two exponential forms is exact when the processes are INDEPENDENT; otherwise the pair must be split by Hoelder's inequality, which this elementary version does not do. A nonpositive rho means the cross traffic can exhaust the server, which the bound functions report as a violation probability of 1.

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

Method Summary

Modifier and Type	Method	Description
static SncEnvelope	of(SncEnvelope srv, SncEnvelope cross)
static double[]	snc_leftover(double sigmaS, double rhoS, double sigmaX, double rhoX)

Methods inherited from class java.lang.Object

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

Method Details

snc_leftover

public static double[] snc_leftover(double sigmaS,
 double rhoS,
 double sigmaX,
 double rhoX)

Parameters:

sigmaS - burst term of the service envelope

rhoS - rate term of the service envelope

sigmaX - burst term of the cross-flow arrival envelope

rhoX - rate term of the cross-flow arrival envelope

Returns:

{sigma, rho} of the leftover service

of

public static SncEnvelope of(SncEnvelope srv,
 SncEnvelope cross)

Parameters:

srv - the service envelope

cross - the cross-flow arrival envelope

Returns:

the leftover service as a function of theta