- Exact asymptotics for the stationary distribution of a Markov chain: A production model
- Eurandom report series
- Number of pages
- Document type
- Working paper
- Faculty of Economics and Business (FEB)
- Amsterdam School of Economics Research Institute (ASE-RI)
We derive rough and exact asymptotic expressions for the station- ary distribution π of a Markov chain arising in a queueing/production context. The approach we develop can also handle "cascades", which are situations where the uid limit of the large deviation path from the origin to the increasingly rare event is nonlinear. Our approach considers a process that starts at the rare event. In our production ex- ample, we can have two sequences of states that asymptotically lie on the same line, yet π has different asymptotics on the two sequences.
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