Sergey Vladimirovich Gaevoy, Wesam Mohammed Abdo Ahmed, Sergey Alekseevich Fomenkov, Sergey Grigorievich Kolesnikov, Methods of Modeling Incoming Jobs Stream used on the Computing Cluster UniLu-Gaia, Journal of Engineering and Applied Sciences, Volume 12,Issue 24, 2017, Pages 7548-7554, ISSN 1816-949x, jeasci.2017.7548.7554, (https://makhillpublications.co/view-article.php?doi=jeasci.2017.7548.7554) Abstract: At present, the need to analyze the maintenance of tasks by computing clusters is urgent. In the study the question of transition from a log of operation of a computing cluster (the list of all comers of jobs) to its approximation is considered. Stochastic parameters are approximated: runtime of jobs intervals between their arrivals. The result is checked by simulation modeling. Keywords: Method of the greatest (maximum) credibility;method of the moments;distribution function;parallel loadings;not scalable tasks;time of performance of tasks;imitating modeling;stochastic approximation