A discrete-time Markov modulated queuing system with batched arrivals
Abstract
This paper examines a discrete-time queuing system with applications to telecommunications traffic. The arrival process is a particular Markov modulated process which belongs to the class of discrete batched Markovian arrival processes. The server process is a single server deterministic queue. A closed form exact solution is given for the expected queue length and delay. A simple system of equations is given for the probability of the queue exceeding a given length.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- December 2006
- DOI:
- 10.48550/arXiv.math/0612476
- arXiv:
- arXiv:math/0612476
- Bibcode:
- 2006math.....12476C
- Keywords:
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- Mathematics - Probability;
- Mathematics - Dynamical Systems;
- Mathematics - Statistics Theory
- E-Print:
- to appear Performance Evaluation