line::qsys::tarddetail Namespace Reference

Typedefs
using	Cplx = std::complex<double>

Functions
bool	is_preemptive (const std::string &type, const char *fn)
double	erlang_c (unsigned c, double A)
Cplx	busy_lst (Cplx s, double lb, double cmu)
	LST of the M/M/1 busy period with rates lb and cmu, conjugate form.
Cplx	ipow (Cplx z, unsigned k)
std::vector< Cplx >	pr_state_lst (Cplx s, double lb, double mu, unsigned c)
	Theorem 4 transforms f_0..f_{c-1}, by the tridiagonal (Thomas) solve.
std::vector< double >	pr_means (double lb, double mu, unsigned c)
	Mean response times S_0..S_{c-1} of the Theorem 4 states.
void	exp_mix_tard (double mu, double theta, double Pc, double d, double &S, double &T, double &P)
	{S, Tard, P} of T = X + B Y, X ~ Exp(mu), Y ~ Exp(theta), B ~ Bernoulli(Pc).
void	invert_tard (const lti::LaplaceFn &F, double S, double d, lti::LaplaceMethod m, double &T, double &P)
	Tard and P by inverting (s S - 1 + F)/s^2 and (1 - F)/s at d.
void	hypo_tard (unsigned K, double mu, double theta, double d, double S, double &T, double &P)
	Tard and P of T = Exp(mu) + Erlang(K, theta) by nonnegative Poisson series.

Typedef Documentation

Cplx

using line::qsys::tarddetail::Cplx = std::complex<double>

Definition at line 46 of file qsys_mmc_prio_tardiness.h.

Function Documentation

busy_lst()

Cplx line::qsys::tarddetail::busy_lst ( Cplx s, double lb, double cmu )

inline

LST of the M/M/1 busy period with rates lb and cmu, conjugate form.

Definition at line 63 of file qsys_mmc_prio_tardiness.h.

References busy_lst().

Referenced by busy_lst(), and pr_state_lst().

erlang_c()

double line::qsys::tarddetail::erlang_c ( unsigned c, double A )

inline

Definition at line 56 of file qsys_mmc_prio_tardiness.h.

References erlang_c().

Referenced by erlang_c().

exp_mix_tard()

void line::qsys::tarddetail::exp_mix_tard ( double mu, double theta, double Pc, double d, double & S, double & T, double & P )

inline

{S, Tard, P} of T = X + B Y, X ~ Exp(mu), Y ~ Exp(theta), B ~ Bernoulli(Pc).

Definition at line 124 of file qsys_mmc_prio_tardiness.h.

References exp_mix_tard().

Referenced by exp_mix_tard().

hypo_tard()

void line::qsys::tarddetail::hypo_tard ( unsigned K, double mu, double theta, double d, double S, double & T, double & P )

inline

Tard and P of T = Exp(mu) + Erlang(K, theta) by nonnegative Poisson series.

Definition at line 146 of file qsys_mmc_prio_tardiness.h.

References hypo_tard().

Referenced by hypo_tard().

invert_tard()

void line::qsys::tarddetail::invert_tard ( const lti::LaplaceFn & F, double S, double d, lti::LaplaceMethod m, double & T, double & P )

inline

Tard and P by inverting (s S - 1 + F)/s^2 and (1 - F)/s at d.

Definition at line 136 of file qsys_mmc_prio_tardiness.h.

References invert_tard(), and line::lti::laplace_invert().

Referenced by invert_tard().

ipow()

Cplx line::qsys::tarddetail::ipow ( Cplx z, unsigned k )

inline

Definition at line 69 of file qsys_mmc_prio_tardiness.h.

References ipow().

Referenced by ipow().

is_preemptive()

bool line::qsys::tarddetail::is_preemptive ( const std::string & type, const char * fn )

inline

Definition at line 48 of file qsys_mmc_prio_tardiness.h.

References line::ErrorKind::ErrorKind(), line::InputError::InputError(), and is_preemptive().

Referenced by is_preemptive().

pr_means()

std::vector< double > line::qsys::tarddetail::pr_means ( double lb, double mu, unsigned c )

inline

Mean response times S_0..S_{c-1} of the Theorem 4 states.

Definition at line 102 of file qsys_mmc_prio_tardiness.h.

References pr_means().

Referenced by pr_means().

pr_state_lst()

std::vector< Cplx > line::qsys::tarddetail::pr_state_lst ( Cplx s, double lb, double mu, unsigned c )

inline

Theorem 4 transforms f_0..f_{c-1}, by the tridiagonal (Thomas) solve.

Definition at line 80 of file qsys_mmc_prio_tardiness.h.

References busy_lst(), and pr_state_lst().

Referenced by pr_state_lst().