Object structure

Title:

Determining s-t and K-Terminal Path Sets and Cut Sets in Graph-Modeled Networks by a Unified Approach

Subtitle:

Raport Badawczy = Research Report ; RB/18/2011

Creator:

Malinowski, Jacek Antoni. Autor

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2011

Description:

22 pages ; 21 cm ; Bibliography p. 22

Subject and Keywords:

Teoria grafów ; Graph theory ; Reliability analysis of network ; Analiza niezawodności systemów sieciowych ; S-t cut ; S-t cięcie ; Path sets ; Cut sets ; Zestawy ścieżek ; Zestawy cięć ; K-terminal

Abstract:

The current paper presents a set of algorithms for finding minimal path and cut sets of various types in graph-structured networks (computer, telecommunication, transportation, etc.) Those sets are crucial in reliability analysis of network systems. The presented methodology is based on the construction of the acyclic paths tree, where each path connects two nodes of the considered network. Based on this tree the s-t minimal paths are readily obtained, and after minor transformations the so-called simplified fault tree is constructed from which the s-t minimal cuts are determined. In consequence, we have a common starting point for finding both the s-t path and cut sets, while many existing algorithms use very different approaches for paths and cuts.

Relation:

Raport Badawczy = Research Report

Resource Type:

Report

Source:

RB-2011-18

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

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