qsys_gigk_approx.h File Reference

Default G/I/G/k approximation of the mean response time. More...

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

Include dependency graph for qsys_gigk_approx.h:

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Namespaces
namespace	line
namespace	line::qsys

Functions
template<class T>
QsysResult< T >	line::qsys::qsys_gigk_approx (const T &lambda, const T &mu, const T &ca, const T &cs, unsigned k)
	Default G/I/G/k approximation of the mean response time.

Detailed Description

Default G/I/G/k approximation of the mean response time.

Templated port of matlab/src/api/qsys/qsys_gigk_approx.m, cross-checked against jar/src/main/java/jline/api/qsys/Qsys_gigk_approx.java (identical; the JAR is careful to write (k+1)/2.0 so the exponent stays a real, as in MATLAB).

rho = lambda/(mu k) alpha = (rho^k+rho)/2 if rho > 0.7 alpha = rho^((k+1)/2) otherwise W = (alpha/mu)(1/(1-rho))(ca^2+cs^2)/(2k) + 1/mu

The low-load branch raises rho to a half-integer power whenever k is even, which is a genuine transcendental, so the function requires num_traits<T>::has_transcendental and cannot be instantiated at exact arithmetic. Gating is at function level rather than per branch, since the branch is chosen at run time.

Definition in file qsys_gigk_approx.h.