This paper:
extends the work of El-Neweihi, Proschan, Sethuraman (1986) to maximize the
reliability of a series-parallel system through optimal allocation of inte
rchangeable components;
provides a practical procedure for the reliability optimization problem whi
ch is shown to be NP complete.
Based on an observation that the reliability of series-parallel system incr
eases with the homogeneity among the cutset hazards, an approximate linear
programming model is developed in which the objective is to minimize the me
an deviation of the cut-set hazards. An algorithm is provided to improve fu
rther the resulting allocation. The numerical investigation on this heurist
ic approach and its application to a large problem have yielded encouraging
results.