Non-homogeneous Poisson Processes (NHPP's) can be applied for analyzing reliability growth models for hardware and/or software. Evaluating the Mean Time Between Failures (MTBF's) for such processes, we can evaluate the present status (the degree of improvement). However, it is difficult to evaluate the MTBF's for such processes analytically except the simplest cases. The so-called instantaneous MTBF's which can be easily evaluated are applied in practice instead of the exact MTBF's. In this paper, we discuss both MTBF's analytically, and derive the conditions for the existence of both exact and instantaneous MTBF's. We further illustrate both MTBF's for the Weibull process and S-shaped reliability growth model numerically.
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Hirofumi KOSHIMAE, Hiroaki TANAKA, Shunji OSAKI, "Some Remarks on MTBF's for Non-homogeneous Poisson Processes" in IEICE TRANSACTIONS on Fundamentals,
vol. E77-A, no. 1, pp. 144-149, January 1994, doi: .
Abstract: Non-homogeneous Poisson Processes (NHPP's) can be applied for analyzing reliability growth models for hardware and/or software. Evaluating the Mean Time Between Failures (MTBF's) for such processes, we can evaluate the present status (the degree of improvement). However, it is difficult to evaluate the MTBF's for such processes analytically except the simplest cases. The so-called instantaneous MTBF's which can be easily evaluated are applied in practice instead of the exact MTBF's. In this paper, we discuss both MTBF's analytically, and derive the conditions for the existence of both exact and instantaneous MTBF's. We further illustrate both MTBF's for the Weibull process and S-shaped reliability growth model numerically.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e77-a_1_144/_p
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@ARTICLE{e77-a_1_144,
author={Hirofumi KOSHIMAE, Hiroaki TANAKA, Shunji OSAKI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Some Remarks on MTBF's for Non-homogeneous Poisson Processes},
year={1994},
volume={E77-A},
number={1},
pages={144-149},
abstract={Non-homogeneous Poisson Processes (NHPP's) can be applied for analyzing reliability growth models for hardware and/or software. Evaluating the Mean Time Between Failures (MTBF's) for such processes, we can evaluate the present status (the degree of improvement). However, it is difficult to evaluate the MTBF's for such processes analytically except the simplest cases. The so-called instantaneous MTBF's which can be easily evaluated are applied in practice instead of the exact MTBF's. In this paper, we discuss both MTBF's analytically, and derive the conditions for the existence of both exact and instantaneous MTBF's. We further illustrate both MTBF's for the Weibull process and S-shaped reliability growth model numerically.},
keywords={},
doi={},
ISSN={},
month={January},}
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TY - JOUR
TI - Some Remarks on MTBF's for Non-homogeneous Poisson Processes
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 144
EP - 149
AU - Hirofumi KOSHIMAE
AU - Hiroaki TANAKA
AU - Shunji OSAKI
PY - 1994
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E77-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 1994
AB - Non-homogeneous Poisson Processes (NHPP's) can be applied for analyzing reliability growth models for hardware and/or software. Evaluating the Mean Time Between Failures (MTBF's) for such processes, we can evaluate the present status (the degree of improvement). However, it is difficult to evaluate the MTBF's for such processes analytically except the simplest cases. The so-called instantaneous MTBF's which can be easily evaluated are applied in practice instead of the exact MTBF's. In this paper, we discuss both MTBF's analytically, and derive the conditions for the existence of both exact and instantaneous MTBF's. We further illustrate both MTBF's for the Weibull process and S-shaped reliability growth model numerically.
ER -