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RCIN and OZwRCIN projects

Object

Title: A new efficient method of enumerating all min-d-cut-sets in a flow network

Creator:

Malinowski, Jacek

Date issued/created:

2017

Resource type:

Tekst

Subtitle:

Raport Badawczy = Research Report ; RB/8/2017

Publisher:

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

Place of publishing:

Warszawa

Description:

32 stron ; 21 cm ; Bibliografia s. 31-32

Abstract:

A new solution to the problem of finding all minimal d-cut-sets in a flow network with one source and one sink node is presented. According to the developed method, min-d-cut-sets are generated from min-τ-cut sets, where a τ-cut-set is a set of components whose removal or failure causes the source and sink to be topologically disconnected. A τ-cut-set is minimal if no its subset is a τ-cut-set. The method consists of two algorithms; the first one is applied if Φ(C)<2d, the second - if Φ(C)>=2d, where C is the min-τ-cut-set from which min-d-cut-sets are generated, and Φ(C) denotes the total flow capacity of C's components. This distinction results in quick generation of min-d-cut-sets without first having to find many non-d-cut sets or non-minimal d-cut-sets. The presented method is highly efficient, due to a number of technical improvements which include applying different algorithms for the cases Φ(C)<2d and Φ(C)>=2d, and an effective method of checking if the found min-d-cut set is a redundant one.

Relation:

Raport Badawczy = Research Report

Detailed Resource Type:

Raport

Resource Identifier:

oai:rcin.org.pl:103052

Source:

RB-2017-08

Language:

eng

Language of abstract:

eng

Rights:

Licencja Creative Commons Uznanie autorstwa 4.0

Terms of use:

Zasób chroniony prawem autorskim. [CC BY 4.0 Międzynarodowe] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 4.0, której pełne postanowienia dostępne są pod adresem: ; -

Digitizing institution:

Instytut Badań Systemowych Polskiej Akademii Nauk

Original in:

Biblioteka Instytutu Badań Systemowych PAN

Projects co-financed by:

Program Operacyjny Polska Cyfrowa, lata 2014-2020, Działanie 2.3 : Cyfrowa dostępność i użyteczność sektora publicznego; środki z Europejskiego Funduszu Rozwoju Regionalnego oraz współfinansowania krajowego z budżetu państwa

Access:

Otwarty

Object collections:

Last modified:

Oct 19, 2021

In our library since:

Jan 13, 2020

Number of object content downloads / hits:

47

All available object's versions:

https://rcin.org.pl./publication/115380

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