First-emptiness problems in applied probability under first-order dependent input and general output conditions-Reference-Cited by-同舟云学术

First-emptiness problems in applied probability under first-order dependent input and general output conditions

Published:1973-06 Issue:2 Volume:10 Page:330-342
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Lehoczky J. P.

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.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

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1. An asymptotic result in traffic theory

2. The total waiting time in a busy period of a stable single-server queue, I.

3. Joint distributions of random variables and their integrals for certain birth-death and diffusion processes

4. Infinite dams with inputs forming a Markov chain

5. A note on the first emptiness time of an infinite reservoir with inputs forming a Markov chain

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1. An infinite dam with random withdrawal policy;Advances in Applied Probability;1986-12

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3. A Note on First Emptiness in a Discrete Storage System with Markovian Inputs;SIAM Journal on Applied Mathematics;1975-05

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