line::sum Namespace Reference

Classes
struct	ClosingOptions
	Closing controls; Kclosed is the population given to the open classes. More...
struct	Servers
	Number of servers of a station; MATLAB's mi(i) = Inf becomes infinite. More...
struct	SumClosedResult
	Mirrors the [XN, QN, UN, RN, it] return list of the MATLAB function. More...
struct	SumClosingResult
	Mirrors the [XN, QN, UN, RN, TN, it] return list of the MATLAB function. More...
struct	SumOptions
	Convergence controls, mirroring the trailing (tol, maxiter) arguments. More...

Functions
template<class T>
SumClosedResult< T >	sum_closed (const Matrix< T > &L, const std::vector< long > &N, const std::vector< T > &Z, const std::vector< Servers > &mi, const Matrix< T > &scv, const SumOptions &options=SumOptions())
	Summation method (SUM) and its extension (ESUM) for closed queueing networks, including non-product-form stations with generally distributed service times.
template<class T>
SumClosingResult< T >	sum_closing (const std::vector< T > &lambda0, const std::vector< T > &scva, const Matrix< T > &L, const std::vector< Servers > &mi, const Matrix< T > &scv, const std::vector< long > &N, const std::vector< T > &Z, const ClosingOptions &options=ClosingOptions())
	Closing method for open and mixed non-product-form queueing networks, solved with the summation method.

Function Documentation

sum_closed()

template<class T>

SumClosedResult< T > line::sum::sum_closed	(	const Matrix< T > &	L,
		const std::vector< long > &	N,
		const std::vector< T > &	Z,
		const std::vector< Servers > &	mi,
		const Matrix< T > &	scv,
		const SumOptions &	options = SumOptions() )

Summation method (SUM) and its extension (ESUM) for closed queueing networks, including non-product-form stations with generally distributed service times.

Parameters

L	(M x R) service demands, L(i,r) = e(i,r)/mu(i,r)
N	(R) population per class, all finite
Z	(R) think times
mi	(M) servers per station
scv	(M x R) squared coefficients of variation of the service times
options	tolerances, iteration caps and the closing method

Definition at line 196 of file sum_closed.h.

References line::Matrix< T >::cols(), line::InputError::InputError(), line::sum::SumClosedResult< T >::it, line::Matrix< T >::Matrix(), line::num_abs(), line::sum::SumClosedResult< T >::QN, line::sum::SumClosedResult< T >::RN, line::Matrix< T >::rows(), sum_closed(), line::sum::SumClosedResult< T >::UN, and line::sum::SumClosedResult< T >::XN.

Referenced by line::mva::solver_mva_sum(), sum_closed(), and sum_closing().

sum_closing()

template<class T>

SumClosingResult< T > line::sum::sum_closing	(	const std::vector< T > &	lambda0,
		const std::vector< T > &	scva,
		const Matrix< T > &	L,
		const std::vector< Servers > &	mi,
		const Matrix< T > &	scv,
		const std::vector< long > &	N,
		const std::vector< T > &	Z,
		const ClosingOptions &	options = ClosingOptions() )

Closing method for open and mixed non-product-form queueing networks, solved with the summation method.

Parameters

lambda0	(R) external arrival rates, zero for a closed class
scva	(R) interarrival-time SCVs of the open classes, 1 if Poisson
L	(M x R) service demands, open-class visits per external arrival
mi	(M) servers per station
scv	(M x R) service-time SCVs
N	(R) populations of the closed classes; entries of open classes are ignored
Z	(R) think times
options	tolerances, iteration caps and the closing method

Definition at line 81 of file sum_closing.h.

References line::Matrix< T >::cols(), line::InputError::InputError(), line::sum::SumClosedResult< T >::it, line::sum::SumClosingResult< T >::it, line::Matrix< T >::Matrix(), line::sum::Servers::of(), line::sum::SumClosedResult< T >::QN, line::sum::SumClosingResult< T >::QN, line::sum::SumClosedResult< T >::RN, line::sum::SumClosingResult< T >::RN, line::Matrix< T >::rows(), line::Matrix< T >::sum(), sum_closed(), sum_closing(), line::sum::SumClosingResult< T >::TN, line::sum::SumClosedResult< T >::UN, line::sum::SumClosingResult< T >::UN, line::sum::SumClosedResult< T >::XN, and line::sum::SumClosingResult< T >::XN.

Referenced by line::mva::solver_mva_sum(), and sum_closing().