snc_leftover.h File Reference

Leftover service envelope under blind (arbitrary) multiplexing. More...

#include "line/api/snc/snc_types.h"

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Namespaces
namespace	line
namespace	line::snc

Functions
Env	line::snc::snc_leftover (const Env &srv, const Env &cross)
	Leftover service envelope under blind (arbitrary) multiplexing.

Detailed Description

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 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.

Definition in file snc_leftover.h.