Assessing the Performability of Computing Systems Subject to Failure and Repair Using Non-Exponentially Distributed Task Times

摘要

In this paper we discuss an approach that can be used to assess the performability of computing systems using a matrix analytic approach. This is realized by constructing an analytic model representative of parallel systems that consists of N tasks using P processors subject to failures and repairs. It is assumed that the failure, and repair times are exponentially distributed, however, service tunes can be non-exponentially distributed. Using this model we show how the mean job execution time can be computed and provide numerical examples when N P.