PROBABILISTIC DYNAMICS AS A TOOL FOR DYNAMIC PSA

The assumptions, scope and achievements of a probabilistic dynamics th eory based on a Chapman-Kolmogorov formulation of mixed probabilistic and deterministic dynamics are reviewed. The formulation of the theory involves both physical (or process) variables and (semi-) Markovian s tates of the system under study allowing the inclusion of human error modelling. The problem of crossing a safety threshold is used to empha size the role of timing in concurrent sequences. We show how the adjoi nt formulation can be used to obtain information on the outcomes of tr ansients as a function of its starting characteristics. These outcomes may, for instance, be damage resulting from safety boundary crossing, or reliability functions. A comparison is made between a Monte-Carlo solution and a DYLAM analysis of a simple multicomponent benchmark pro blem which shows that for the same accuracy a Monte-Carlo method is mu ch less sensitive to the size of the problem. (C) 1996 Elsevier Scienc e Limited.