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Some interesting processes arising as heavy traffic limits in an M/M/\(\infty\) storage process. (English) Zbl 0607.60086

The author studies the geometric process, the exponential process, the truncated normal process and an extremal process. He sketches proofs that these processes are the heavy traffic limits of the parking model, but these weak convergence arguments are not the main point of the paper. He presents these processes as interesting examples for stochastic process theory.
Reviewer: W.Szcotka

MSC:

60K25 Queueing theory (aspects of probability theory)
60F05 Central limit and other weak theorems
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References:

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