Combinatorial and Geometric View of the System Reliability Theory

DOI10.1007/978-3-319-42432-3_19zbMath1437.90068OpenAlexW2498956497MaRDI QIDQ2819211

Fatemeh Mohammadi

Publication date: 28 September 2016

Published in: Mathematical Software – ICMS 2016 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-42432-3_19

zbMATH Keywords

system reliabilityorientationsBetti numberspolyhedral cellular complex

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Combinatorial aspects of matroids and geometric lattices (05B35) Graph operations (line graphs, products, etc.) (05C76)

Related Items

Types of signature analysis in reliability based on Hilbert series, Polarization and depolarization of monomial ideals with application to multi-state system reliability, On the primary decomposition of some determinantal hyperedge ideal

Cites Work

• Unnamed Item
• Unnamed Item
• Divisors on graphs, binomial and monomial ideals, and cellular resolutions
• Types of signature analysis in reliability based on Hilbert series
• Inclusion-exclusion-Bonferroni identities and inequalities for discrete tube-like problems via Euler characteristics
• Improved Bonferroni inequalities via abstract tubes. Inequalities and identities of inclusion-exclusion type
• Syzygies of oriented matroids
• Monomial ideals and the Scarf complex for coherent systems in reliability theory.
• On the Interpretation of Whitney Numbers Through Arrangements of Hyperplanes, Zonotopes, Non-Radon Partitions, and Orientations of Graphs
• A Survey of Network Reliability and Domination Theory
• Cellular resolutions of monomial modules