Measure of Adequacy for the Supercomputer Job Management System Model

In this paper we investigate the problem of modelling modern supercomputer job management systems (JMS). When modelling the JMS, one of the main issues is the adequacy of the model used in experimental studies. The paper attempts to determine the measure of the JMS model adequacy by comparing the characteristics of two job streams, one of which was acquired from a real supercomputer and the other is obtained from the JMS model. We show that the normalized Euclidean distance between vectors of jobs residence times obtained from the job streams of the real system and the JMS model can serve as a measure of the adequacy of the JMS model. The paper also defines the reference value of the measure of adequacy corresponding to the JMS model with virtual nodes.