qsys_gig1_approx_heyman.h File Reference

Heyman approximation of the mean response time of a G/I/G/1 queue. More...

#include "line/api/qsys/qsys_types.h"
#include "line/num/number.h"

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Namespaces
namespace	line
namespace	line::qsys

Functions
template<class T>
QsysResult< T >	line::qsys::qsys_gig1_approx_heyman (const T &lambda, const T &mu, const T &ca, const T &cs)
	Heyman approximation of the mean response time of a G/I/G/1 queue.

Detailed Description

Heyman approximation of the mean response time of a G/I/G/1 queue.

Templated port of matlab/src/api/qsys/qsys_gig1_approx_heyman.m, cross-checked against jar/src/main/java/jline/api/qsys/Qsys_gig1_approx_heyman.java (identical).

W = rho/(1-rho)/mu * (ca^2+cs^2)/2 + 1/mu

Algebraically the same expression as Allen-Cunneen, kept as a separate entry point because MATLAB exposes both. Pure field arithmetic, exact for T = Rational, and it reduces to M/M/1 at ca = cs = 1.

Definition in file qsys_gig1_approx_heyman.h.