Synthesis and Number of all Series-Parallel Structures with n Components
β Scribed by Schneeweiss, Winfrid G.; Heidtmann, Klaus D.
- Book ID
- 117934234
- Publisher
- IEEE
- Year
- 1980
- Tongue
- English
- Weight
- 829 KB
- Volume
- R-29
- Category
- Article
- ISSN
- 0018-9529
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## Abstract The paper is devoted to study stochastic comparisons of series and parallel systems with vectors of component lifetimes sharing the same copula. We show that, under some conditions on the common copula, the series system with heterogeneous components is worse than the series system with
It was proved by Hell and Zhu that, if G is a series-parallel graph of girth at least 2 (3k -1)/2 , then Ο c (G) β€ 4k/(2k -1). In this article, we prove that the girth requirement is sharp, i.e., for any k β₯ 2, there is a series-parallel graph G of girth 2 (3k -1)/2 -1 such that Ο c (G) > 4k/(2k -1)