Expansions for steady-state characteristics of (max, +)-linear systems

DOI10.1080/15326349808807458zbMath0929.60074OpenAlexW2028136764MaRDI QIDQ4385208

Volker Schmidt, François Baccelli, Sven Hasenfuss

Publication date: 24 January 2000

Published in: Communications in Statistics. Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/inria-00073906/file/RR-2785.pdf

zbMATH Keywords

stochastic Petri netsperturbation analysisqueueing networksmarked point processesadmissibilityPoisson inputvectorial recurrence equationfactorial moment measuresstationary state variables

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (5)

Closed-form formulae for moment, tail probability, and blocking probability of waiting time in a buffer-sharing deterministic system ⋮ A coupling approach to estimating the Lyapunov exponent of stochastic max-plus linear systems ⋮ Explicit expressions for moments of waiting times in Poisson driven deterministic two-node tandem queues with blocking ⋮ Taylor series expansions for stationary Markov chains ⋮ Differentiability of functionals of Poisson processes via coupling. With applications to queueing theory

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