Package jline.api.qsys
package jline.api.qsys
Queueing system analysis algorithms.
This package contains algorithms for analyzing individual queueing systems, including M/M/1, M/M/c, M/G/1, and other classical queueing models.
- Since:
- LINE 2.0
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ClassDescriptionResult of D/M/c queue analysis.Result of M/D/c queue analysis via Crommelin's embedded DTMC.The patience (time-to-abandon) law of a queue with customer abandonment, in the three forms accepted by
Qsys_mgisrgi_whitt.How the abandonment rates are read off this law.Result of PH/M/1 queue analysis.Result of PH/M/c queue analysis.Analyzes a BMAP/M/1 queue by the matrix-analytic (M/G/1-type) method.Exact analysis of the Erlang A model M/M/s/r+M.Truncated Gaussian approximation (TGA-G) for the G/GI/n+GI queue.Steady state of the G/GI/s+GI fluid model.Diffusion approximation for the G/GI/n/m queue.Extremal two-moment bounds for the GI/GI/1 queue.G/M/1 Queueing System Analysis.The Gt/Mt/st+GI many-server fluid queue.Conditional waiting-time moments of the Hl/Hn/1 Lindley recursion.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.Per-flow throughput and loss ratio of a FIFO buffer with tail drop fed by N flows of arbitrary and mutually different statistical character.The MAP/PH/c FCFS queue, solved exactly.Two-moment approximation for the maximum of n iid non-negative variables.Sojourn time distribution of the M/G/1 processor-sharing queue.Service Laplace-Stieltjes transform, which must accept complex arguments.Service density.Analyzes an M/G/1 queue with SRPT (Shortest Remaining Processing Time) scheduling using the Schrage-Miller class-conditional response-time formula.Engineering solution of the call-center model M/GI/s/r+GI.M/M/1 queueing system analysis.Conditional waiting-time moments of the M/M/1 Lindley recursion.Exact sojourn-time moments of the multiclass M/M/1-PS queue.Conditional downstream waiting time in an M/M/1 tandem.Exact per-class throughput and loss ratio of an MMAP[K]/G/1/K queue with tail drop: marked Markovian arrivals, an arbitrary service law F common to all classes, and a buffer of K packets counting the one in transmission.The MMAP[K]/G[K]/1 FCFS queue: K customer types with class-dependent GENERAL service, fed by a marked Markovian arrival process.Fixed-point approximation for the M/M/c/c retrial queue.Blocking probability, orbit-induced rate and iteration count.Result container for the M/M/c/K metrics.Halfin-Whitt QED approximation for the M/M/s queue, and the square-root staffing rule that inverts it.Exact time-varying analysis of the Mt/G/infinity queue.Modified-offered-load and pointwise-stationary approximations for a time-varying multiserver system.Tandem network Lindley recursion on a sample path.Tail bounds for a GI/Hn/1 -> ./Hn/1 tandem of two FCFS single servers.Steady-state measures of a multiserver queue with customer abandonment, as produced byQsys_mgisrgi_whittandQsys_erlanga.Result of the matrix-analytic (M/G/1-type) analysis of a BMAP/M/1 queue.Steady state of the G/GI/s+GI fluid model, as produced byQsys_ggisgi_fluid.One conditional Lindley moment for exponential primitives.Conditional waiting-time moments of one Lindley step.Result of MAP/D/c queue analysis.Return value ofQsys_mapg1k_perflow, mirroring the MATLAB result struct ofqsys_mapg1k_perflow.m.Return value ofQsys_mapg1k, mirroring the MATLAB result struct ofqsys_mapg1k.mfield for field.Return value of qsys_mapphc, mirroring the MATLAB struct.Result of MAP/PH type queue analysis.Result ofQsys_mg1_ps.qsys_mg1_ps(double, double[], double[][], double[], double[], double[], int): the sojourn time distribution of the M/G/1 processor-sharing queue.Sojourn-time moments of the multiclass M/M/1-PS queue.Return value ofQsys_mmapg1k: the per-class throughputs and loss ratios of an MMAP[K]/G/1/K buffer, mirroring the MATLAB result struct ofqsys_mmapg1k.m.Return value of qsys_mmapgk1, mirroring the MATLAB struct.Time-varying measures of the Mt/G/infinity queue, as produced byQsys_mtginf.Result of BMAP/PH/N/N retrial queue analysis.Service-time descriptor of the MAP/G/1/K family, the JAR form of the MATLABsvcstruct ofqsys_mapg1k.mand of the C++line::qsys::ServiceLaw.Which family the service law belongs to.Conditional downstream waiting time in a two-station tandem.Waiting times and epochs of a tandem sample path.Tail bounds of a two-station tandem and the coefficients that produced them.Trajectory of the Gt/Mt/st+GI many-server fluid queue, as produced byQsys_gtmtst_fluid.Holder for the stationary distribution of the quantity of work in a single service stage, together with the grid it is reported on and the stationary distribution of the number of requests in the system.Information about a valid retrial queue topology.