A storage system with sporadic and continuous clearings

Autor(en): Stadje, Wolfgang 
Stichwörter: Engineering; Engineering, Industrial; Mathematics; MODELS; Operations Research & Management Science; PRODUCTION/INVENTORY SYSTEM; Statistics & Probability
Erscheinungsdatum: 2007
Herausgeber: CAMBRIDGE UNIV PRESS
Journal: PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES
Volumen: 21
Ausgabe: 4
Startseite: 539
Seitenende: 549
Zusammenfassung: 
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.
ISSN: 02699648
DOI: 10.1017/S0269964807000307

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