qsys_mg1.h File Reference

Exact mean response time of the M/G/1 queue (Pollaczek-Khinchine). 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_mg1 (const T &lambda, const T &mu, const T &cs)
	Exact mean response time of the M/G/1 queue (Pollaczek-Khinchine).

Detailed Description

Exact mean response time of the M/G/1 queue (Pollaczek-Khinchine).

Templated port of matlab/src/api/qsys/qsys_mg1.m, cross-checked against jar/src/main/java/jline/api/qsys/Qsys_mg1.java (identical).

rho = lambda/mu Q = rho + rho^2/(2(1-rho)) + lambda^2 cs^2 / mu^2 / (2(1-rho)) W = Q/lambda, rhohat = Q/(1+Q)

Only integer powers appear, so the function is exact for T = Rational. Note that cs is the coefficient of variation, squared inside the formula.

Definition in file qsys_mg1.h.