Realization probability in closed Jackson queueing networks and its application

DOI10.2307/1427414zbMath0624.60106OpenAlexW2325492813MaRDI QIDQ3026019

Xi-Ren Cao

Publication date: 1987

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1427414

zbMATH Keywords

perturbation analysisclosed queueing networksample elasticity of the throughputsensitivities of system performance measures

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (14)

Performance sensitivity analysis of open Markovian queueing networks ⋮ Realization probability in multi-class closed queueing networks ⋮ The convergence property of sample derivatives in closed Jackson queueing networks ⋮ Performance optimization of queueing systems with perturbation realization ⋮ Consistency of perturbation analysis for a queue with finite buffer space and loss policy ⋮ Strong consistency of sample path derivative estimates ⋮ Strong consistency of infinitesimal perturbation analysis for tandem queueing networks ⋮ A new method of performance sensitivity analysis for non-Markovian queueing networks ⋮ New performance sensitivity formulae for a class of product-form queueing networks ⋮ A linear algebraic formulation of the performance sensitivities of queueing networks ⋮ Stationary waiting time derivatives ⋮ Smoothed perturbation analysis algorithms for estimating the derivatives of occupancy-related functions in serial queueing networks ⋮ Sensitivity analysis of general performance measures of queueing networks with state-dependent service rates ⋮ Strongly Consistent Steady-State Derivative Estimates

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