Analysis of probability distribution of a random variable of an execution time of the program in the presence of random failures

Authors:
K. K. Klyuchnikov
Affiliations:
Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Venue:
Automation and Remote Control
Year:
2009

Citing 2
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Minimizing completion time of a program by checkpointing and rejuvenation

Proceedings of the 1996 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
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Abstract

The mathematical model of an estimation of an execution time of the program in the presence of random failures is studied. For decreasing of influence of failures on a program execution time the known method of checkpoints is considered. The main objective consists in reception of the formula for a distribution function of a random variable of an execution time of the program and an estimation of a quantile of the received distribution. Properties of a mean value of a random variable of an execution time of the program are studied.