line::fluid::FluidMatrixSystem Struct Reference

The assembled matrix-form drift and the maps that read metrics off it. More...

#include <line/solvers/fluid/fluid_matrix.h>

Collaboration diagram for line::fluid::FluidMatrixSystem:

Public Attributes
Matrix< double >	W
	(n x n) drift generator
std::vector< double >	alambda
	(n) external arrivals per state
std::vector< double >	x0
	(n) initial state
std::vector< std::size_t >	qa
	(n) 0-based station of each state
std::vector< double >	sa
	(n) server count of that station
std::vector< bool >	is_source
	(n) state belongs to an EXT station
std::vector< bool >	is_inf
	(n) state belongs to an INF station
Matrix< double >	sqc
Matrix< double >	suc
Matrix< double >	stc
	(M*K x n) queue, utilization, throughput maps
Matrix< double >	src_arrival
	(M x K) per-class arrival rate of each EXT station
std::size_t	nstates = 0
double	min_rate = 1.0
	smallest nonzero |W|, sets the horizon
double	pstar = 0.0
	>0 selects the p-norm smoothing
bool	var_closure = false
	When true, min(E[n], c) is replaced by E[min(n, c)] under the station's equilibrium geometric marginal.

Detailed Description

The assembled matrix-form drift and the maps that read metrics off it.

Definition at line 67 of file fluid_matrix.h.

Member Data Documentation

alambda

std::vector<double> line::fluid::FluidMatrixSystem::alambda

(n) external arrivals per state

Definition at line 69 of file fluid_matrix.h.

Referenced by line::fluid::fluid_matrix_drift(), line::fluid::fluid_matrix_system(), and line::fluid::fluid_symodes().

is_inf

std::vector<bool> line::fluid::FluidMatrixSystem::is_inf

(n) state belongs to an INF station

Definition at line 74 of file fluid_matrix.h.

Referenced by line::fluid::fluid_matrix_degenerate(), line::fluid::fluid_matrix_system(), and line::fluid::fluid_symodes().

is_source

std::vector<bool> line::fluid::FluidMatrixSystem::is_source

(n) state belongs to an EXT station

Definition at line 73 of file fluid_matrix.h.

Referenced by line::fluid::fluid_matrix_degenerate(), line::fluid::fluid_matrix_system(), and line::fluid::fluid_symodes().

min_rate

double line::fluid::FluidMatrixSystem::min_rate = 1.0

smallest nonzero |W|, sets the horizon

Definition at line 78 of file fluid_matrix.h.

Referenced by line::fluid::fluid_matrix_system().

nstates

std::size_t line::fluid::FluidMatrixSystem::nstates = 0

Definition at line 77 of file fluid_matrix.h.

Referenced by line::fluid::fluid_matrix_degenerate(), line::fluid::fluid_matrix_drift(), line::fluid::fluid_matrix_system(), and line::fluid::fluid_symodes().

pstar

double line::fluid::FluidMatrixSystem::pstar = 0.0

>0 selects the p-norm smoothing

Definition at line 79 of file fluid_matrix.h.

Referenced by line::fluid::fluid_matrix_system().

qa

std::vector<std::size_t> line::fluid::FluidMatrixSystem::qa

(n) 0-based station of each state

Definition at line 71 of file fluid_matrix.h.

Referenced by line::fluid::fluid_matrix_system().

sa

std::vector<double> line::fluid::FluidMatrixSystem::sa

(n) server count of that station

Definition at line 72 of file fluid_matrix.h.

Referenced by line::fluid::fluid_matrix_system().

sqc

Matrix<double> line::fluid::FluidMatrixSystem::sqc

Definition at line 75 of file fluid_matrix.h.

Referenced by line::fluid::fluid_matrix_degenerate(), and line::fluid::fluid_matrix_system().

src_arrival

Matrix<double> line::fluid::FluidMatrixSystem::src_arrival

(M x K) per-class arrival rate of each EXT station

Definition at line 76 of file fluid_matrix.h.

Referenced by line::fluid::fluid_matrix_system().

stc

Matrix<double> line::fluid::FluidMatrixSystem::stc

(M*K x n) queue, utilization, throughput maps

Definition at line 75 of file fluid_matrix.h.

Referenced by line::fluid::fluid_matrix_system().

suc

Matrix<double> line::fluid::FluidMatrixSystem::suc

Definition at line 75 of file fluid_matrix.h.

Referenced by line::fluid::fluid_matrix_system().

var_closure

bool line::fluid::FluidMatrixSystem::var_closure = false

When true, min(E[n], c) is replaced by E[min(n, c)] under the station's equilibrium geometric marginal.

Set ONLY by the degeneracy repair in solver_fluid: min() is FLAT above the server count, so a network of saturated stations has a CONTINUUM of fixed points and the integrator returns whichever one it stopped at. See BUGS.md, _kb/06-solver-catalog.md.

Definition at line 87 of file fluid_matrix.h.

W

Matrix<double> line::fluid::FluidMatrixSystem::W

(n x n) drift generator

Definition at line 68 of file fluid_matrix.h.

Referenced by line::fluid::fluid_matrix_degenerate(), line::fluid::fluid_matrix_drift(), line::fluid::fluid_matrix_system(), and line::fluid::fluid_symodes().

x0

std::vector<double> line::fluid::FluidMatrixSystem::x0

(n) initial state

Definition at line 70 of file fluid_matrix.h.

Referenced by line::fluid::fluid_matrix_system(), and line::fluid::fluid_symodes().

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The documentation for this struct was generated from the following file:

• include/line/solvers/fluid/fluid_matrix.h