line::qsys::QsysAbandonResult< T > Struct Template Reference

Steady-state measures of a multiserver queue with customer abandonment. More...

#include <line/api/qsys/qsys_mgisrgi_whitt.h>

Collaboration diagram for line::qsys::QsysAbandonResult< T >:

Public Attributes
std::vector< T >	queueLengthDist
	P(N = k), k = 0..s+r.
T	probLoss
	P(an arrival is blocked), 0 when r is infinite.
T	probNoWait
	P(W = 0) among entering customers.
T	probServed
	P(S), eventually served.
T	probAbandon
	P(A) = 1 - P(S).
T	meanNumber
	E[N].
T	varNumber
	Var[N].
T	meanQueueLength
	E[Q], Q = (N-s)^+.
T	varQueueLength
	Var[Q].
T	utilization
	E[min(N,s)]/s.
T	throughput
	lambda(1-P_loss)P(S)
T	abandonRate
	lambda(1-P_loss)P(A)
T	meanWaitServed
	E[W|S].
T	varWaitServed
	Var[W|S].
T	meanWaitAbandon
	E[W|A].
T	varWaitAbandon
	Var[W|A].
T	meanWait
	E[W] over entering customers.
T	secondMomentWait
	E[W^2] over entering customers.
std::vector< T >	abandonRates
	delta_j
std::vector< T >	totalAbandonRates
	Delta_k, index k, Delta_0 = 0.
std::size_t	numWaitingSpaces = 0
	waiting spaces used, the truncation when r is infinite
bool	exponentialPatience = false
	whether the answer is exact
T	patienceRate
	the exponential rate, unset otherwise
std::vector< double >	waitPoints
	times of the cdfs, empty when not requested
std::vector< double >	cdfWaitServed
	P(W <= t | S).
std::vector< double >	cdfWaitAbandon
	P(W <= t | A).
std::vector< double >	cdfWait
	P(W <= t).

Detailed Description

template<class T>
struct line::qsys::QsysAbandonResult< T >

Steady-state measures of a multiserver queue with customer abandonment.

Definition at line 117 of file qsys_mgisrgi_whitt.h.

Member Data Documentation

abandonRate

template<class T>

T line::qsys::QsysAbandonResult< T >::abandonRate

lambda(1-P_loss)P(A)

Definition at line 129 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

abandonRates

template<class T>

std::vector<T> line::qsys::QsysAbandonResult< T >::abandonRates

delta_j

Definition at line 136 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

cdfWait

template<class T>

std::vector<double> line::qsys::QsysAbandonResult< T >::cdfWait

P(W <= t).

Definition at line 144 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

cdfWaitAbandon

template<class T>

std::vector<double> line::qsys::QsysAbandonResult< T >::cdfWaitAbandon

P(W <= t | A).

Definition at line 143 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

cdfWaitServed

template<class T>

std::vector<double> line::qsys::QsysAbandonResult< T >::cdfWaitServed

P(W <= t | S).

Definition at line 142 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

exponentialPatience

template<class T>

bool line::qsys::QsysAbandonResult< T >::exponentialPatience = false

whether the answer is exact

Definition at line 139 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

meanNumber

template<class T>

T line::qsys::QsysAbandonResult< T >::meanNumber

E[N].

Definition at line 123 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt(), and line::mva::solver_mva_qsys_analyzer().

meanQueueLength

template<class T>

T line::qsys::QsysAbandonResult< T >::meanQueueLength

E[Q], Q = (N-s)^+.

Definition at line 125 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

meanWait

template<class T>

T line::qsys::QsysAbandonResult< T >::meanWait

E[W] over entering customers.

Definition at line 134 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

meanWaitAbandon

template<class T>

T line::qsys::QsysAbandonResult< T >::meanWaitAbandon

E[W|A].

Definition at line 132 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

meanWaitServed

template<class T>

T line::qsys::QsysAbandonResult< T >::meanWaitServed

E[W|S].

Definition at line 130 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

numWaitingSpaces

template<class T>

std::size_t line::qsys::QsysAbandonResult< T >::numWaitingSpaces = 0

waiting spaces used, the truncation when r is infinite

Definition at line 138 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

patienceRate

template<class T>

T line::qsys::QsysAbandonResult< T >::patienceRate

the exponential rate, unset otherwise

Definition at line 140 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

probAbandon

template<class T>

T line::qsys::QsysAbandonResult< T >::probAbandon

P(A) = 1 - P(S).

Definition at line 122 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

probLoss

template<class T>

T line::qsys::QsysAbandonResult< T >::probLoss

P(an arrival is blocked), 0 when r is infinite.

Definition at line 119 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

probNoWait

template<class T>

T line::qsys::QsysAbandonResult< T >::probNoWait

P(W = 0) among entering customers.

Definition at line 120 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

probServed

template<class T>

T line::qsys::QsysAbandonResult< T >::probServed

P(S), eventually served.

Definition at line 121 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

queueLengthDist

template<class T>

std::vector<T> line::qsys::QsysAbandonResult< T >::queueLengthDist

P(N = k), k = 0..s+r.

Definition at line 118 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

secondMomentWait

template<class T>

T line::qsys::QsysAbandonResult< T >::secondMomentWait

E[W^2] over entering customers.

Definition at line 135 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

throughput

template<class T>

T line::qsys::QsysAbandonResult< T >::throughput

lambda(1-P_loss)P(S)

Definition at line 128 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt(), and line::mva::solver_mva_qsys_analyzer().

totalAbandonRates

template<class T>

std::vector<T> line::qsys::QsysAbandonResult< T >::totalAbandonRates

Delta_k, index k, Delta_0 = 0.

Definition at line 137 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

utilization

template<class T>

T line::qsys::QsysAbandonResult< T >::utilization

E[min(N,s)]/s.

Definition at line 127 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt(), and line::mva::solver_mva_qsys_analyzer().

varNumber

template<class T>

T line::qsys::QsysAbandonResult< T >::varNumber

Var[N].

Definition at line 124 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

varQueueLength

template<class T>

T line::qsys::QsysAbandonResult< T >::varQueueLength

Var[Q].

Definition at line 126 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

varWaitAbandon

template<class T>

T line::qsys::QsysAbandonResult< T >::varWaitAbandon

Var[W|A].

Definition at line 133 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

varWaitServed

template<class T>

T line::qsys::QsysAbandonResult< T >::varWaitServed

Var[W|S].

Definition at line 131 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

waitPoints

template<class T>

std::vector<double> line::qsys::QsysAbandonResult< T >::waitPoints

times of the cdfs, empty when not requested

Definition at line 141 of file qsys_mgisrgi_whitt.h.

Referenced by line::qsys::qsys_mgisrgi_whitt().

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

• include/line/api/qsys/qsys_mgisrgi_whitt.h