qsys Directory Reference

Directory dependency graph for qsys:

Files
	qsys_bmapm1.h
	BMAP/M/1 by the matrix-analytic (M/G/1-type) method.
	qsys_bmapphnn_retrial.h
	The BMAP/PH/N/N bufferless retrial queue with flexible retrial admission control.
	qsys_dmc.h
	D/M/c: deterministic interarrival times, exponential service.
	qsys_gg1.h
	G/G/1 dispatcher: exact where a two-moment description determines the answer, Allen-Cunneen otherwise.
	qsys_ggingi_tga.h
	Truncated Gaussian approximation (TGA-G) for the G/GI/n+GI queue.
	qsys_ggisgi_fluid.h
	Steady state of the G/GI/s+GI fluid model.
	qsys_ggnm_diffusion.h
	Diffusion approximation for the G/GI/n/m queue.
	qsys_gig1_approx_allencunneen.h
	Allen-Cunneen approximation of the mean response time of a G/I/G/1 queue.
	qsys_gig1_approx_gelenbe.h
	Gelenbe diffusion approximation with instantaneous-return boundary.
	qsys_gig1_approx_heyman.h
	Heyman approximation of the mean response time of a G/I/G/1 queue.
	qsys_gig1_approx_kimura.h
	Kimura diffusion-interpolation approximation for the G/I/G/1 queue.
	qsys_gig1_approx_klb.h
	Kraemer and Langenbach-Belz approximation for the G/I/G/1 queue.
	qsys_gig1_approx_kobayashi.h
	Kobayashi diffusion approximation for the G/I/G/1 queue.
	qsys_gig1_approx_marchal.h
	Marchal approximation of the mean response time of a G/I/G/1 queue.
	qsys_gig1_approx_myskja.h
	Myskja's third-moment approximation of the mean response time of a G/I/G/1 queue.
	qsys_gig1_approx_myskja2.h
	Myskja's enhanced third-moment approximation of the mean response time of a G/I/G/1 queue.
	qsys_gig1_approx_whitt.h
	Whitt's approximation of the G/G/1 mean response time.
	qsys_gig1_bnds_extremal.h
	Extremal two-moment bounds for the GI/GI/1 queue.
	qsys_gig1_lbnd.h
	Fundamental lower bound on the mean response time of a G/G/1 queue.
	qsys_gig1_rq.h
	Robust Queueing (RQ) approximation of a G/GI/1 queue characterized by its arrival index of dispersion and the first two service moments.
	qsys_gig1_rqt.h
	Robust Queueing Theory (RQT) worst-case system time of a G/G/1 FCFS queue, the single-server case of qsys_gigk_rqt (Theorem 2 and eq.
	qsys_gig1_ubnd_kingman.h
	Kingman upper bound on the mean waiting time of a G/G/1 queue.
	qsys_gigk_approx.h
	Default G/I/G/k approximation of the mean response time.
	qsys_gigk_approx_cosmetatos.h
	Cosmetatos / Page interpolation approximation for the GI/G/k queue.
	qsys_gigk_approx_kingman.h
	Kingman (Lee-Longton) scaling of the exact M/M/k waiting time.
	qsys_gigk_approx_whitt.h
	Whitt (1993) approximation for the GI/G/k queue, eqs.
	qsys_gigk_rqt.h
	Robust Queueing Theory (RQT) worst-case system time of a G/G/k FCFS queue.
	qsys_gigk_rqt_gamma.h
	Service variability parameter of the Robust Queueing Theory (RQT) framework.
	qsys_gm1.h
	Exact mean response time of the G/M/1 queue.
	qsys_gtmtst_fluid.h
	The Gt/Mt/st+GI many-server fluid queue, and the network of them.
	qsys_hh1_lindley.h
	Conditional waiting-time moments of the Hl/Hn/1 Lindley recursion.
	qsys_ldps_workload.h
	Stationary distribution of the unfinished work in a single-stage load-dependent generalized-processor-sharing station with Poisson arrivals and blocking.
	qsys_lindley_moment.h
	One conditional Lindley moment for exponential primitives.
	qsys_mapd1.h
	The MAP/D/1 FCFS queue: deterministic service of length s fed by a Markovian arrival process.
	qsys_mapdc.h
	The MAP/D/c FCFS queue: c servers, deterministic service of length s, fed by a Markovian arrival process.
	qsys_mapg1.h
	The MAP/G/1 FCFS queue, by moment-matching the general service time to a phase-type distribution.
	qsys_mapg1k.h
	The MAP/G/1/K queue with tail drop: Markovian arrivals, an arbitrary service law F, and a buffer of K packets counting the one in transmission.
	qsys_mapg1k_perflow.h
	Per-flow throughput and loss ratio of a tail-drop FIFO buffer fed by N flows of mutually different statistical character.
	qsys_mapm1.h
	The MAP/M/1 FCFS queue, the single-server case of MAP/M/c.
	qsys_mapmap1.h
	The MAP/MAP/1 FCFS queue: mean number in system, waiting time, sojourn time, utilization and the queue-length distribution.
	qsys_mapmc.h
	The MAP/M/c FCFS queue: c identical exponential servers of rate mu fed by a Markovian arrival process.
	qsys_mapph1.h
	The MAP/PH/1 FCFS queue.
	qsys_mapphc.h
	The MAP/PH/c FCFS queue, solved exactly.
	qsys_maxima_twomoment.h
	Two-moment approximation for the maximum of n iid non-negative variables.
	qsys_mdc_crommelin.h
	M/D/c by Crommelin's embedded chain.
	qsys_mg1.h
	Exact mean response time of the M/G/1 queue (Pollaczek-Khinchine).
	qsys_mg1_fb.h
	M/G/1 under FB (feedback), also called LAS (least attained service).
	qsys_mg1_lrpt.h
	M/G/1 under LRPT (longest remaining processing time).
	qsys_mg1_prio.h
	M/G/1 with non-preemptive head-of-line priorities: per-class mean response times from the Cobham/Kleinrock formula.
	qsys_mg1_ps.h
	Sojourn-time distribution of the M/G/1 processor-sharing queue.
	qsys_mg1_psjf.h
	M/G/1 under PSJF (preemptive shortest job first).
	qsys_mg1_setf.h
	M/G/1 under SETF (shortest elapsed time first), the non-preemptive counterpart of FB/LAS.
	qsys_mg1_srpt.h
	M/G/1 under SRPT (shortest remaining processing time), by the Schrage-Miller formula.
	qsys_mg1k_loss.h
	Exact M/G/1/K loss probability, via the chain embedded at service-start epochs.
	qsys_mg1k_loss_mgs.h
	MacGregor Smith's closed-form approximation of the M/G/1/K loss probability.
	qsys_mginf.h
	Exact solution of the M/G/infinity queue.
	qsys_mgisrgi_whitt.h
	Engineering solution of the call-center model M/GI/s/r+GI.
	qsys_mm1.h
	Exact mean response time of the M/M/1 queue.
	qsys_mm1_dps.h
	Multiclass M/M/1 under DPS (discriminatory processor sharing), solved numerically on the truncated population chain.
	qsys_mm1_lindley.h
	Conditional waiting-time moments of the M/M/1 Lindley recursion.
	qsys_mm1_ps.h
	Exact sojourn-time moments of the multiclass M/M/1-PS queue.
	qsys_mm1_tandem_lindley.h
	Conditional waiting time at the SECOND station of an M/M/1 -> /M/1 tandem.
	qsys_mm1k_loss.h
	Blocking probability of the M/M/1/K queue.
	qsys_mmapg1k.h
	Exact per-class throughput and loss ratio of an MMAP[K]/G/1/K tail-drop queue.
	qsys_mmapgk1.h
	The MMAP[K]/G[K]/1 FCFS queue: K customer types with class-dependent GENERAL service, fed by a marked Markovian arrival process.
	qsys_mmcc_retrial_fp.h
	Fixed-point approximation for the M/M/c/c retrial queue.
	qsys_mmck.h
	Exact analysis of the M/M/c/K queue (truncated Erlang form).
	qsys_mmk.h
	Exact mean response time of the M/M/k queue (Erlang-C).
	qsys_mmk_qed.h
	Halfin-Whitt QED approximation for the M/M/s queue, and the square-root staffing rule that inverts it.
	qsys_mtginf.h
	Exact time-varying analysis of the Mt/G/infinity queue.
	qsys_mtgs0_mol.h
	Modified-offered-load and pointwise-stationary approximations for a time-varying multiserver system.
	qsys_mxm1.h
	M^X/M/1: the batch-arrival queue with exponential service.
	qsys_phm1.h
	Exact PH/M/1, the GI/M/1 queue with phase-type interarrival times.
	qsys_phmc.h
	Exact PH/M/c by Neuts' matrix-geometric method.
	qsys_phph1.h
	The PH/PH/1 FCFS queue.
	qsys_quadrature.h
	Adaptive quadrature for the qsys functions whose MATLAB originals call integral(), and the cumulative trapezoid rule for the one that calls cumtrapz().
	qsys_tandem_lindley.h
	Sample-path Lindley recursion along a tandem of single-server FCFS queues.
	qsys_tandem_ub_ciucu.h
	Tail bounds for a GI/Hn/1 -> .
	qsys_types.h
	Shared return type and arithmetic helpers for the templated qsys port.