6 Reliability Applications

6.1 System reliability 6.1.1 Terminology 6.1.2 Abstract tubes for system reliability 6.1.3 Shier’s pseudopolynomial algorithm 6.1.4 Inclusion-exclusion and domination theory 6.2 Special reliability systems 6.2.1 Communications networks 6.2.2 k-out-of-n systems 6.2.3 Consecutive k-out-of-n systems 6.3 Reliability covering problems 6.3.1 The hypergraph model 6.3.2 Abstract tubes and polynomial algorithms 6.4 Chapter notes