| Article ID: | iaor20022767 |
| Country: | South Africa |
| Volume: | 16 |
| Issue: | 1 |
| Start Page Number: | 75 |
| End Page Number: | 86 |
| Publication Date: | Jan 2000 |
| Journal: | Orion |
| Authors: | Beichelt Frank, Anrig Bernhard |
The structure function ϕ of a binary monotone system is assumed to be known and given in a disjunctive normal form, i.e. as the logical union of products of the indicator variables of the states of its subsystems. Based on this representation of ϕ, an improved Abraham algorithm is proposed for generating the disjoint sum form of ϕ. This form is the base for subsequent numerical reliability calculations. The approach is generalized to multivalued systems. Examples are discussed.