FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1996, VOLUME 2, NUMBER 2, PAGES 619-624

Process of successive cleaning

I. A. Kurkova

Abstract

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A Poisson stream of particles arrives to a half-line $[0;$¥ ) with rate $$l and mean density 1. A server moves on a half-line at unit speed to the right, stopping to perform service of every particle encountered. The service times are all taken to be mutually independent and exponentially distributed with mean $$m. At the initial moment the server is in zero.

We study $Y(T)$ -- its position at the moment $T$. The main result is the following:

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Last modified: March 19, 2005