Algorithmic Methods in Queues and in the Exploration of Point Processes
Algorithmic Methods in Queues and in the Exploration of Point Processes
This is a review of the methodology for the algorithmic study of some useful models in point process and queueing theory, as discussed in three lectures at the Summer Institute at Sozopol, Bulgaria. The author provides references to sources where the extensive details of this work are found. For future investigation, some open problems and new methodological approaches are proposed.
- Institute of Mathematics and Informatics Bulgaria
- Bulgarian Academy of Sciences Bulgaria
queues, Algorithmic Probability, Markovian arrival processes, algorithmic probability, Markov chains (discrete-time Markov processes on discrete state spaces), Queueing theory (aspects of probability theory), Markovian Arrival Processes, Applications of Markov renewal processes (reliability, queueing networks, etc.), matrix-analytic methods, Point processes (e.g., Poisson, Cox, Hawkes processes), Queues, Matrix-Analytic Methods
queues, Algorithmic Probability, Markovian arrival processes, algorithmic probability, Markov chains (discrete-time Markov processes on discrete state spaces), Queueing theory (aspects of probability theory), Markovian Arrival Processes, Applications of Markov renewal processes (reliability, queueing networks, etc.), matrix-analytic methods, Point processes (e.g., Poisson, Cox, Hawkes processes), Queues, Matrix-Analytic Methods
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