Optimal state estimation in MAP event flows with unextendable dead time

DOI10.1134/S000511791208005XzbMath1268.93136OpenAlexW1972668393MaRDI QIDQ2393000

Yanyan Li

Publication date: 7 August 2013

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000511791208005x

zbMATH Keywords

numerical resultsoptimal state estimationposterior probabilitiesimitational modelingdigital integral servicing networksflow statesMarkovian arrival processes event flowobservation conditionsunextendable dead time

Mathematics Subject Classification ID

Application models in control theory (93C95) Estimation and detection in stochastic control theory (93E10) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Discrete event control/observation systems (93C65) Optimal stochastic control (93E20)

Related Items (5)

Joint Probability Density of the Intervals Length of the Modulated Semi-synchronous Integrated Flow of Events and Its Recurrence Conditions ⋮ Analytical investigation of a single-server queueing system with an incoming MAP event flow ⋮ Probability density of the interval duration between events in the generalized MAP with its incomplete observability ⋮ Maximum Likelihood Estimation of the Dead Time Period Duration in the Modulated Semi-synchronous Generalized Flow of Events ⋮ Maximum Likelihood Estimation of the Dead Time Period Duration of a Modulated Synchronous Flow of Events

Cites Work

• Optimal estimation of states of a double stochastic flow of events in the presence of measurement errors of time instants
• New results on the single server queue with a batch markovian arrival process
• A versatile Markovian point process
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