aoi_lcfss_gim1.h File Reference

Mean and peak Age of Information of a GI/M/1 non-preemptive LCFS queue with set-aside (LCFS-S). More...

#include "line/api/aoi/aoi_types.h"
#include "line/num/number.h"
#include "line/util/error.h"

Include dependency graph for aoi_lcfss_gim1.h:

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Namespaces
namespace	line
namespace	line::aoi

Functions
template<class T>
AoiLstResult< T >	line::aoi::aoi_lcfss_gim1 (const Lst< T > &Y_lst, const T &mu, const T &E_Y)
	Mean and peak Age of Information of a GI/M/1 non-preemptive LCFS queue with set-aside (LCFS-S).

Detailed Description

Mean and peak Age of Information of a GI/M/1 non-preemptive LCFS queue with set-aside (LCFS-S).

Templated port of matlab/src/api/aoi/aoi_lcfss_gim1.m, cross-checked against jar/src/main/java/jline/api/aoi/Aoi_lcfss_gim1.java (identical).

sigma solves Y*(mu - mu sigma) = sigma in (0,1) E[D] = 1/(mu (1 - sigma)) E[A] = E[Y] + 1/mu + sigma E[D] E[Apeak] = E[Y] + E[D]

from Inoue et al. (2019, Section V) adapted to GI/M/1.

static_assert(num_traits<T>::has_transcendental) – sigma is a bracketed root of a transcendental equation; the rest is rational in sigma.

As in aoi_lcfsd_gim1, MATLAB's sigma = rho fallback on a bracketing failure is replaced by an error. MATLAB returns an empty LST handle, reported here as has_lst = false.

Definition in file aoi_lcfss_gim1.h.