Title:

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

Subtitle:

Raport Badawczy = Research Report ; RB/8/2017

Creator:

Malinowski, Jacek

Publisher:

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

Place of publishing:

Warszawa

Date issued/created:

2017

Description:

32 pages ; 21 cm ; Bibliography p. 31-32

Subject and Keywords:

Flow network ; Flow capacity of a component/network ; Required flow ; Maximum flow ; Min-cut-set ; Min-d-cut-set ; Enumeration of cut-sets ; Sieć przepływowa ; Przepływność komponentu/sieci ; Wymagany przepływ ; Maksymalny przepływ ; Przekrój minimalny ; Minimalny d-przekrój ; Generowanie przekrojów

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

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2017-08

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.

Access:

Open