COMPUTATIONAL-EFFICIENCY OF THE CONTINUOUS CELL-TO-CELL MAPPING TECHNIQUE AS A FUNCTION OF INTEGRATION SCHEMES

The continuous cell-to-cell mapping technique (CCCMT) is a recently pr oposed Markovian approach which can be used for the dynamic reliabilit y and safety analysis of process control systems, as well as for the g lobal analysis of nonlinear dynamic systems in general. A parametric s tudy is performed on the computational efficiency of CCCMT as a functi on of various integration schemes. The results show that a variable st epsize scheme is desirable with a sufficient required precision. Among the integration schemes considered, a fourth order Runge-Kutta scheme seems to be preferable for short term simulations and the mid-point i mplicit scheme seems to be preferable for long term simulations or to obtain the steady-state system behavior. (C) 1998. Published by Elsevi er Science Limited.