Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/325704 
Year of Publication: 
2021
Citation: 
[Journal:] Operations Research Perspectives [ISSN:] 2214-7160 [Volume:] 8 [Article No.:] 100199 [Year:] 2021 [Pages:] 1-7
Publisher: 
Elsevier, Amsterdam
Abstract: 
The operation of a system, such as a vehicle, communication network or automatic process, heavily depends on the correct operation of its components. A Stochastic Binary System (SBS) mathematically models the behavior of on-off systems, where the components are subject to probabilistic failures. Our goal is to understand the reliability of the global system. The reliability evaluation of an SBS belongs to the class of NP-Hard problems, and the combinatorics of SBS imposes several challenges. In a previous work by the same authors, a special sub-class of SBSs called separable systems was introduced. These systems accept an efficient representation by a linear inequality on the binary states of the components. However, the reliability evaluation of separable systems is still hard. A theoretical contribution in the understanding of separable systems is given. We fully characterize separable systems under the all-terminal reliability model, finding that they admit efficient reliability evaluation in this relevant context.
Subjects: 
Computational complexity
Mathematical programming
Network reliability
Separable systems
Stochastic binary system
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by-nc-nd Logo
Document Type: 
Article

Files in This Item:
File
Size





Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.