Four simplifications in the calculation of safety instrumented system logic
solver performance measures (mean time to failure and risk reduction facto
r) clarify the dependence on the various factors involved. These include fa
ilure rate, fail safe fraction, diagnostics coverage and common cause. Appr
oximate MTTF and RRF formulas are developed for 1oo2D and TMR logic solvers
. These provide an explicit indication of which factors have the greatest i
nfluence on improving safety. (C) 1998 Elsevier Science Ltd. All rights res
erved.