qsys_gig1_lbnd.h File Reference

Fundamental lower bound on the mean response time of a G/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_lbnd (const T &lambda, const T &mu, const T &ca, const T &cs)
	Fundamental lower bound on the mean response time of a G/G/1 queue.

Detailed Description

Fundamental lower bound on the mean response time of a G/G/1 queue.

Templated port of matlab/src/api/qsys/qsys_gig1_lbnd.m.

W = 1/mu (the response time is at least the mean service time)

DIVERGENCE: jar/src/main/java/jline/api/qsys/Qsys_gig1_lbnd.java returns a map {L=rho, Lq=0, W=1/mu, Wq=0, p0=1-rho} and no rhohat, while MATLAB returns [W,rhohat]. The value of W agrees; the port follows the MATLAB signature. Neither implementation reads ca or cs, which are accepted only for signature uniformity with the rest of the G/I/G/1 family.

Pure field arithmetic, exact for T = Rational.

Definition in file qsys_gig1_lbnd.h.