Best upper and lower bounds of the generalized binomial distribution
Journal Article
·
· Cybernetics and Systems Analysis
OSTI ID:441177
The persistent interest in efficient reliability bounds for complex-structure systems keeps producing new bounds, which are characterized by low computational costs and ensure acceptable error levels for applications. In this paper, we construct best bounds for the generalized binomial distribution (GBD) (known as {open_quotes}m out of n{close_quotes} in reliability theory), which are derived using edge-disjoint paths and cuts. We also propose fundamentally new bounds based on the geometric-mean transformation of the GBD to a homogeneous BD. These new bounds have certain advantages both in terms of computational complexity and in terms of the error level.
- OSTI ID:
- 441177
- Journal Information:
- Cybernetics and Systems Analysis, Vol. 30, Issue 3; Other Information: PBD: Jan 1995; TN: Translated from Kibernetika i Sistemnyi Analiz; No. 3, 181-186(May-Jun 1994)
- Country of Publication:
- United States
- Language:
- English
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