solver_rqna.h File Reference

Robust Queueing Network Analyzer (RQNA), a port of matlab/src/solvers/MVA/solver_rqna.m. More...

#include <cstddef>
#include <functional>
#include <vector>
#include "line/api/mam/map_count_idc.h"
#include "line/api/mam/map_moment.h"
#include "line/api/npfqn/npfqn_feedback_elim.h"
#include "line/api/npfqn/npfqn_traffic_idc.h"
#include "line/api/qsys/qsys_gig1_rq.h"
#include "line/lang/distribution.h"
#include "line/lang/qn/network_struct.h"
#include "line/solvers/mva/mva_types.h"
#include "line/util/error.h"
#include "line/util/linalg.h"
#include "line/util/matrix.h"

Include dependency graph for solver_rqna.h:

Go to the source code of this file.

Namespaces
namespace	line
namespace	line::mva

Functions
template<class T>
MvaSolution< T >	line::mva::solver_rqna (const qn::NetworkStruct< T > &L, const MvaOptions &opt)

Detailed Description

Robust Queueing Network Analyzer (RQNA), a port of matlab/src/solvers/MVA/solver_rqna.m.

Single-class open network of single-server FCFS queues with Markovian routing and general (non-renewal) external arrival and (non-exponential) service. Implements Whitt & You (2018) Algorithm 1: traffic-rate + limiting-variability equations, time-dependent IDC equations (via npfqn_traffic_idc / npfqn_traffic_idc_at), and the robust-queueing workload approximation (qsys_gig1_rq), plus the near-immediate feedback elimination of Algorithm 2 / Section 4.1-4.2, applied by default.

REFERENCE INDEXING, REPRODUCED. Like solver_qna, the reference indexes the stateful-indexed sn.rt with STATION indices, which is exact only when every stateful node is a station; that precondition is asserted. Single class, so sn.rt(i,j) is the station-to-station routing directly.

ARITHMETIC: transcendental (counting-process IDC needs expm, the RQ workload a square root), so under Rational the whole body is discarded and RQNA is refused by name, matching solver_qna.

Definition in file solver_rqna.h.