Simplicial fixed point algorithms: Volume 129 in: Mathematical Centre Tracts,Mathematisch Centrum,Amsterdam, 1980, iv + 172 pages,Dfl.21.00

This work provides a reliability analysis for power units which are deliberately shutdown when undemanded. A gas turbine is a common example of such a unit. Two appropriate interrelated reliability criteria are mathematically formulated and the relation to their ordinary counterparts is investigated. Using semi-Markov and renewal theory methods these criteria are computed under different assumptions with regard to the stochastic behavior of the demand on the unit and the time to failure and repair time distributions.