Package jline.api.pfqn.ld
package jline.api.pfqn.ld
Load-dependent Product Form Queueing Network algorithms.
This package provides algorithms for analyzing product-form queueing networks where service rates depend on the number of jobs in the queue (load-dependent service).
- Since:
- LINE 2.0
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ClassesClassDescriptionPeak of a class-dependence handle over the population lattice.Akyildiz-Bolch (A/B) linearizer method for closed product-form queueing networks.PFQN ab algorithms.DAC (Distribution Analysis by Chain) method for closed product-form queueing networks with single-server fixed-rate, infinite-server and queue-dependent service centers.Result of the closed form, mirroring [lG, G, method, lossDigits].The gld recursion over EXACT SYMBOLIC demands and rates.The single-class gld recursion over EXACT SYMBOLIC demands and rates.Same recursion, same arithmetic and the same result as
Pfqn_gld, but with the rate shift saturated at the limited load-dependence threshold, which makes the recursion's state space finite and lets it be memoised.Same recursion, same arithmetic and bit-identical results toPfqn_gldsingle, but with the rate-offset axis truncated at the limited load-dependence threshold instead of at the population.Conditional mean number of in-service jobs per class at an OI station.Mitra-McKenna (JACM 33(3):568-592, 1986) load-dependent PANACEA: the expansion coefficients A_n are linear combinations of partition functions of a pseudonetwork whose load dependence is the phi(n) transform of the original {f(n)}.QD-AMVA on a closed multiclass product-form network.The fixed pointPfqn_qdamva.pfqn_qdamva(jline.util.matrix.Matrix, jline.util.matrix.Matrix, jline.util.matrix.Matrix, jline.util.matrix.Matrix)reaches, and how many sweeps it took.QD-LIN: the Linearizer arm of AMVA-LD, on a plain demand matrix.The fixed pointPfqn_qdlin.pfqn_qdlin(jline.util.matrix.Matrix, jline.util.matrix.Matrix, jline.util.matrix.Matrix, jline.util.matrix.Matrix, jline.util.matrix.Matrix)reaches, and how many sweeps it took.Schmidt method for load-dependent MVA with multi-server stations.