LINE Solver (C++)
Templated C++ port of the LINE queueing solver
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Age of information (aoi)

Mean, variance and peak age of information for FCFS and LCFS queues, and the MAP-to-PH conversion the age solvers consume. More...

Collaboration diagram for Age of information (aoi):

Files

file  include/line/api/aoi/aoi_dist2ph.h
 MAP to PH conversion for the age-of-information solvers.
file  include/line/api/aoi/aoi_fcfs_dm1.h
 Mean, variance and peak Age of Information of a D/M/1 FCFS queue.
file  include/line/api/aoi/aoi_fcfs_gim1.h
 Mean Age of Information, its transform and the peak age of a GI/M/1 FCFS queue.
file  include/line/api/aoi/aoi_fcfs_md1.h
 Mean, variance and peak Age of Information of an M/D/1 FCFS queue.
file  include/line/api/aoi/aoi_fcfs_mgi1.h
 Mean Age of Information, its transform and the peak age of an M/GI/1 FCFS queue.
file  include/line/api/aoi/aoi_fcfs_mm1.h
 Mean, variance and peak Age of Information of an M/M/1 FCFS queue.
file  include/line/api/aoi/aoi_lcfsd_gim1.h
 Mean and peak Age of Information of a GI/M/1 non-preemptive LCFS queue with discarding (LCFS-D, equivalently GI/M/1/2*).
file  include/line/api/aoi/aoi_lcfsd_mgi1.h
 Mean and peak Age of Information of an M/GI/1 non-preemptive LCFS queue with discarding (LCFS-D, equivalently M/GI/1/2*).
file  include/line/api/aoi/aoi_lcfspr_dm1.h
 Mean, variance and peak Age of Information of a D/M/1 preemptive LCFS queue.
file  include/line/api/aoi/aoi_lcfspr_gim1.h
 Mean Age of Information, its transform and the peak age of a GI/M/1 preemptive LCFS queue.
file  include/line/api/aoi/aoi_lcfspr_md1.h
 Mean, variance and peak Age of Information of an M/D/1 preemptive LCFS queue.
file  include/line/api/aoi/aoi_lcfspr_mgi1.h
 Mean Age of Information, its transform and the peak age of an M/GI/1 preemptive LCFS queue.
file  include/line/api/aoi/aoi_lcfspr_mm1.h
 Mean, variance and peak Age of Information of an M/M/1 preemptive LCFS queue.
file  include/line/api/aoi/aoi_lcfss_gim1.h
 Mean and peak Age of Information of a GI/M/1 non-preemptive LCFS queue with set-aside (LCFS-S).
file  include/line/api/aoi/aoi_lcfss_mgi1.h
 Mean and peak Age of Information of an M/GI/1 non-preemptive LCFS queue with set-aside (LCFS-S).
file  include/line/api/aoi/aoi_lst_det.h
 Laplace-Stieltjes transform of a deterministic (constant) distribution.
file  include/line/api/aoi/aoi_lst_erlang.h
 Laplace-Stieltjes transform of an Erlang-k distribution.
file  include/line/api/aoi/aoi_lst_exp.h
 Laplace-Stieltjes transform of an exponential distribution.
file  include/line/api/aoi/aoi_lst_ph.h
 Laplace-Stieltjes transform of a phase-type distribution PH(alpha, T).
file  include/line/api/aoi/aoi_types.h
 Shared return types and arithmetic helpers for the templated Age of Information port.

Detailed Description

Mean, variance and peak age of information for FCFS and LCFS queues, and the MAP-to-PH conversion the age solvers consume.