Calculation of Reliability Characteristics for Regenerative Models

Kalashnikov, Vladimir

Serdica Mathematical Journal (1996)

  • Volume: 22, Issue: 4, page 525-546
  • ISSN: 1310-6600

Abstract

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If a regenerative process is represented as semi-regenerative, we derive formulae enabling us to calculate basic characteristics associated with the first occurrence time starting from corresponding characteristics for the semi-regenerative process. Recursive equations, integral equations, and Monte-Carlo algorithms are proposed for practical solving of the problem.

How to cite

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Kalashnikov, Vladimir. "Calculation of Reliability Characteristics for Regenerative Models." Serdica Mathematical Journal 22.4 (1996): 525-546. <http://eudml.org/doc/11650>.

@article{Kalashnikov1996,
abstract = {If a regenerative process is represented as semi-regenerative, we derive formulae enabling us to calculate basic characteristics associated with the first occurrence time starting from corresponding characteristics for the semi-regenerative process. Recursive equations, integral equations, and Monte-Carlo algorithms are proposed for practical solving of the problem.},
author = {Kalashnikov, Vladimir},
journal = {Serdica Mathematical Journal},
keywords = {Regenerative Process; Semi-Regenerative Process; Geometric Sum; Two-Sided Bounds; regenerative process; semi-regenerative process; geometric sum; two-sided bounds},
language = {eng},
number = {4},
pages = {525-546},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Calculation of Reliability Characteristics for Regenerative Models},
url = {http://eudml.org/doc/11650},
volume = {22},
year = {1996},
}

TY - JOUR
AU - Kalashnikov, Vladimir
TI - Calculation of Reliability Characteristics for Regenerative Models
JO - Serdica Mathematical Journal
PY - 1996
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 22
IS - 4
SP - 525
EP - 546
AB - If a regenerative process is represented as semi-regenerative, we derive formulae enabling us to calculate basic characteristics associated with the first occurrence time starting from corresponding characteristics for the semi-regenerative process. Recursive equations, integral equations, and Monte-Carlo algorithms are proposed for practical solving of the problem.
LA - eng
KW - Regenerative Process; Semi-Regenerative Process; Geometric Sum; Two-Sided Bounds; regenerative process; semi-regenerative process; geometric sum; two-sided bounds
UR - http://eudml.org/doc/11650
ER -

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