fj_rmax.h File Reference

Pessimistic (independence) fork-join response time: the expected maximum of K independent M/M/1 response times, each exponential with rate mu - lambda. More...

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

Include dependency graph for fj_rmax.h:

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Namespaces
namespace	line
namespace	line::fj

Functions
template<class T>
T	line::fj::fj_rmax (unsigned K, const T &lambda, const T &mu)
	Pessimistic (independence) fork-join response time: the expected maximum of K independent M/M/1 response times, each exponential with rate mu - lambda.

Detailed Description

Pessimistic (independence) fork-join response time: the expected maximum of K independent M/M/1 response times, each exponential with rate mu - lambda.

Templated port of matlab/src/api/fj/fj_rmax.m, cross-checked against FJ_rmax.fj_rmax in jar/src/main/java/jline/api/fj/FJ_rmax.java (identical; the JAR additionally rejects rho >= 1 explicitly, where MATLAB leaves the check to qsys_mm1).

Rmax = H_K R(rho) = H_K / (mu - lambda)

Rational, hence exact in the field.

Definition in file fj_rmax.h.