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In this paper we present a study on the time cost added to the grid computing as a result of the use of a coordinated checkpoint / recovery fault tolerance protocol, we aim to find a mathematical model which determined the suitable time to save t he checkpoints for application, to achieve a minimum finish time of parallel application in grid computing with faults and fault tolerance protocols, we have find this model by serial modeling to the goal errors, execution environment and the chosen fault tolerance protocol all that by Kolmogorov differential equations.
In this paper, we introduce a continuous mathematical model to optimize the compromise between the overhead of fault tolerance mechanism and the faults impacts in the environment of execution. The fault tolerance mechanism considered in this rese arch is a coordinated checkpoint/recovery mechanism and the study based on stochastic model of different performance critics of parallel application on parallel and distributed environment.
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