sn_arvr_state_dependent_balance.h File Reference

Arrival rates at stations fed by a JSQ or SQ(d) dispatcher, from flow balance. More...

#include <cmath>
#include <cstddef>
#include <vector>
#include "line/lang/qn/network_struct.h"
#include "line/num/number.h"
#include "line/util/matrix.h"

Include dependency graph for sn_arvr_state_dependent_balance.h:

Go to the source code of this file.

Namespaces
namespace	line
	Conservation laws of a layered queueing network, enumerated from its structure.
namespace	line::sn

Functions
template<class T>
void	line::sn::sn_arvr_state_dependent_balance (const qn::NetworkStruct< T > &L, Matrix< T > &AN, const Matrix< T > &TN, Matrix< T > *WN)

Detailed Description

Arrival rates at stations fed by a JSQ or SQ(d) dispatcher, from flow balance.

Port of MATLAB sn_arvr_state_dependent_balance.m. sn_get_arvr_from_tput reads the routing matrix, which for a state-dependent dispatcher holds only the static RAND split: under JSQ it reported ArvR 0.5/0.5 at two stations whose throughputs were 0.57/0.42. At a station a job leaves only by completing service (no finite buffer, no impatience, no retrial) arrivals and departures balance in steady state, so ArvR = Tput there whatever the routing. Residence times derived from the same static visit ratios are rescaled by the same factor. Other stations are left as computed.

Definition in file sn_arvr_state_dependent_balance.h.