A Symbolic Approach to Quantitative Analysis of Preemptive Real-Time Systems With Non-Markovian Temporal Parameters
The method of stochastic state classes provides a means for quantitative analysis of a rather wide class of non-Markovian models. As a major and structural limitation, the approach cannot be applied to models encompassing a preemptive policy, which in the practice rules out the mechanism of suspension and resume usually applied in many real-time systems. The authors overcome here the limitation by proposing an approach that faces the complexity issues introduced by the suspension/resume mechanism in the structure of supports and distributions of remaining times. In particular, these are distributed over a polyhedral support according to a multivariate joint density function with analytic piecewise form over a partition into polyhedral sub-domains.