Canonical representation of order 2 transient Markov and rational arrival processes

András Mészáros, M. Telek

Research output: Contribution to journalArticle


Similar to other processes that are modulated by background Markov chains the matrix representation of a transient Markov arrival process is not unique and the use of a convenient unique canonical form is essential for practical computations. The paper presents a set of 5 Markovian forms which provide a unique and minimal representation for all members of the TMAP(2) class. In the course of the derivation we also show the identity of the TMAP(2) and the TRAP(2) classes.

Original languageEnglish
Pages (from-to)78-96
Number of pages19
JournalPerformance Evaluation
Publication statusPublished - Sep 1 2017



  • Canonical form
  • Transient Markov arrival process
  • Transient rational arrival process

ASJC Scopus subject areas

  • Software
  • Modelling and Simulation
  • Hardware and Architecture
  • Computer Networks and Communications

Cite this