fj_respt_2way.h File Reference

Exact mean response time of a 2-way fork-join system of M/M/1 branches. More...

#include "line/api/fj/fj_types.h"
#include "line/api/qsys/qsys_mm1.h"
#include "line/num/number.h"
#include "line/util/error.h"

Include dependency graph for fj_respt_2way.h:

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Namespaces
namespace	line
namespace	line::fj

Functions
template<class T>
T	line::fj::fj_respt_2way (const T &lambda, const T &mu)
	Exact mean response time of a 2-way fork-join system of M/M/1 branches.

Detailed Description

Exact mean response time of a 2-way fork-join system of M/M/1 branches.

Templated port of matlab/src/api/fj/fj_respt_2way.m, cross-checked against FJ_respt.fj_respt_2way in jar/src/main/java/jline/api/fj/FJ_respt.java (identical; the JAR inlines qsys_mm1 as 1/(mu-lambda), which is the same value MATLAB's qsys_mm1 returns).

R_2 = (H_2 - rho/8) R(rho) = ((12 - rho)/8) / (mu - lambda)

Rational in rho, hence exact in the field. This is the only fork-join response time in the family that is exact rather than an approximation, so it is the natural calibration point for the approximations around it.

Definition in file fj_respt_2way.h.