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# A Functional Central Limit Theorem for a Markov-modulated Infinite-server Queue

@inproceedings{Blom2013AFC, title={A Functional Central Limit Theorem for a Markov-modulated Infinite-server Queue}, author={Joke G. Blom and Koen De Turck}, year={2013} }

- Published 2013

We consider a model in which the production of new molecules in a chemical reaction network occurs in a seemingly stochastic fashion, and can be modeled as a Poisson process with a varying arrival rate: the rate is λi when an external Markov process J(·) is in state i. It is assumed that molecules decay after an exponential time with mean μ−1. The goal of this work is to analyze the distributional properties of the number of molecules in the system, under a specific time-scaling. In this… CONTINUE READING