Analytical issues regarding the lack of identifiability of the non-stationary MAP(2)

作者：Rodriguez Joanna^*; Lillo Rosa E; Ramirez Cobo Pepa

来源：Performance Evaluation, 2016, 102: 1-20.

DOI：10.1016/j.peva.2016.06.008

• Markovian arrival process (MAP)
• Stationary vs. non-stationary versions
• Identifiable process
• Canonical representation
• Moments characterization

This paper studies in detail different problems concerning the identifiability of the non stationary version of the MAP(2). First, a matrix-based methodology to build equivalent processes is given. Second, a unique, canonical representation of the process, so that the infinite, equivalent versions of a process can be reduced to its canonical counterpart is provided. Finally, a characterization of the process in terms of five descriptors representing moments of the three first inter-event time distributions is given.

• 出版日期2016-8