On minimal representations of rational arrival processes

DOI10.1007/s10479-011-1001-5zbMath1267.60104OpenAlexW2013045035MaRDI QIDQ1945559

Miklós Telek, Peter Buchholz

Publication date: 8 April 2013

Published in: Annals of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10479-011-1001-5

zbMATH Keywords

minimal representationMarkov arrival processrational arrival process

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 (7)

Heuristic representation optimization for efficient generation of PH-distributed random variates ⋮ The two-matrix problem ⋮ Fitting correlated arrival and service times and related queueing performance ⋮ Compact Markov-modulated models for multiclass trace fitting ⋮ Representation Transformations for Finding Markovian Representations ⋮ Some Structural Properties of Markov and Rational Arrival Processes ⋮ A Constructive Proof of the Phase-Type Characterization Theorem

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