LINE Solver (C++)
Templated C++ port of the LINE queueing solver
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MAP queueing networks (mapqn)

Networks whose arrival or service processes are MAPs, solved by approximate MVA and by the quasi-reduced form. More...

Collaboration diagram for MAP queueing networks (mapqn):

Files

file  include/line/api/mapqn/mapqn_amva.h
 Horizontal-cut mean value analysis for a MAP server (SolverMVA method 'amva.mapqn').
file  include/line/api/mapqn/mapqn_bnd_lr.h
 General linear-reduction (LR) bound on the utilization of one queue-phase of a closed MAP queueing network.
file  include/line/api/mapqn/mapqn_bnd_lr_mva.h
 MVA-shaped linear-reduction bound for a closed network of M - 1 exponential queues and ONE MAP queue.
file  include/line/api/mapqn/mapqn_bnd_lr_pf.h
 Linear-reduction (LR) bound on the utilization of one station of a closed product-form network.
file  include/line/api/mapqn/mapqn_bnd_qr.h
 General quadratic-reduction (QR) bound on the utilization of one queue-phase of a closed MAP queueing network.
file  include/line/api/mapqn/mapqn_bnd_qr_delay.h
 Quadratic-reduction bound for a MAP queueing network with a delay (think time) station.
file  include/line/api/mapqn/mapqn_bnd_qr_ld.h
 Quadratic-reduction bound on a marginal of a load-dependent MAP queueing network.
file  include/line/api/mapqn/mapqn_p1_common.h
 The variable layout and the constraint families shared by the two reductions that carry singly-indexed probabilities: the linear reduction (mapqn_bnd_lr.m) and the general quadratic reduction (mapqn_bnd_qr.m).
file  include/line/api/mapqn/mapqn_params.h
 Model parameters and variable indexing shared by the mapqn QR bounds.
file  include/line/api/mapqn/mapqn_qr_bounds_bas.h
 Quadratic-reduction bound on the utilization of one queue of a closed MAP queueing network with a FINITE-CAPACITY station under blocking-after-service.
file  include/line/api/mapqn/mapqn_qr_bounds_rsrd.h
 Quadratic-reduction bound on the utilization of one queue of a closed MAP queueing network under RS-RD blocking (repetitive service, random destination).
file  include/line/api/mapqn/mapqn_qr_common.h
 The constraint families of the quadratic-reduction (QR) polytope.
file  include/line/api/mapqn/mapqn_qrf_bas_nlp.h
 qrf_bas_mmi, qrf_bas_mem and qrf_bas_bethe: the nonlinear bounds on the BAS-BLOCKING polytope.
file  include/line/api/mapqn/mapqn_qrf_common.h
 Shared machinery of the QRF nonlinear bounds (qrf_noblo_*, qrf_bas_*).
file  include/line/api/mapqn/mapqn_qrf_noblo.h
 The QRF no-blocking nonlinear bounds: qrf_noblo_mmi, qrf_noblo_mem and the load-dependent qrf_noblo_mmi_ld.
file  include/line/api/mapqn/mapqn_solution.h
 The result of a MAPQN linear or nonlinear bound program.

Detailed Description

Networks whose arrival or service processes are MAPs, solved by approximate MVA and by the quasi-reduced form.