First-emptiness problems in applied probability under first-order dependent input and general output conditions
- 1 June 1973
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 10 (2) , 330-342
- https://doi.org/10.2307/3212350
Abstract
Results for the first-emptiness time of a semi-infinite reservoir and the integral functional of the process up to first-emptiness time are derived under Markov chain input conditions and general output conditions. The results are further extended to allow an input process which is the sum of k consecutive elements of the Markov chain, k ≧ 1.Keywords
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