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A STORAGE SYSTEM WITH SPORADIC AND CONTINUOUS CLEARINGS

Published online by Cambridge University Press:  22 October 2007

Wolfgang Stadje
Wolfgang Stadje
Affiliation:
Universität OsnabrückFachbereich Mathematik/Informatik 49069 Osnabrück, Germany E-mail: [email protected]
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Abstract

We study a cumulative storage system that is totally cleared sporadically at stationary renewal times and whenever a finite-capacity threshold is exceeded. The independent and identically distributed inputs occur at time epochs that also form a stationary renewal process. We determine the distribution of the interoverflow times. Although this distribution is quite intricate when both underlying renewal processes are general, in the special case of Poisson sporadic clearings we obtain a neat formula for its Laplace transform.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 21 , Issue 4 , October 2007 , pp. 539 - 549
Copyright
Copyright © Cambridge University Press 2007

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