sn_has_bursty_arrival.h File Reference

Port of matlab/src/api/sn/sn_has_bursty_arrival.m. More...

#include <cmath>
#include <cstddef>
#include "line/api/mam/map_moment.h"
#include "line/lang/distribution.h"
#include "line/lang/qn/network_struct.h"
#include "line/num/number.h"

Include dependency graph for sn_has_bursty_arrival.h:

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Namespaces
namespace	line
namespace	line::api

Functions
template<class T>
bool	line::api::sn_has_bursty_arrival (const qn::NetworkStruct< T > &sn)

Detailed Description

Port of matlab/src/api/sn/sn_has_bursty_arrival.m.

True iff some external (Source) arrival process is non-renewal (bursty). A MAP (D0, D1) is renewal iff D1 equals its rank-one renewal form t0*pie, with t0 = -D0 e = D1 e and pie the embedded stationary vector; any departure from that form signals correlation between successive inter-arrival times. A single-phase arrival (Poisson) is renewal by construction. This is the exact test SolverMVA.resolveMethod uses to upgrade method='default' to 'rqna'.

ARITHMETIC: field. map_pie is a linear solve; no transcendental appears.

Definition in file sn_has_bursty_arrival.h.