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WROCŁAW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 4, Fasc. 1,
pages 117 - 121
 

SOME PROPERTIES OF THE EMPTINESS TIME OF A DAM

B. Kopociński

Abstract: We investigate the emptiness time T (c) of a dam initiated by content c > 0, assuming that the total input process is a compound Poisson one and that the release rate function is given. We prove that if the release function is increasing (decreasing), then the expected value ET (c), c > 0, is concave (convex). We also give an estimation of the expected value of the emptiness time under some deformations of inputs.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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