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Reduction of Maximum Flow Network Interdiction Problem: Step towards the Polynomial Time Solutions

by Pawan Tamta, Bhagwati Prasad Pande, H. S. Dhami
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International Journal of Applied Information Systems
Foundation of Computer Science (FCS), NY, USA
Volume 5 - Number 3
Year of Publication: 2013
Authors: Pawan Tamta, Bhagwati Prasad Pande, H. S. Dhami
10.5120/ijais12-450870

Pawan Tamta, Bhagwati Prasad Pande, H. S. Dhami . Reduction of Maximum Flow Network Interdiction Problem: Step towards the Polynomial Time Solutions. International Journal of Applied Information Systems. 5, 3 ( February 2013), 25-29. DOI=10.5120/ijais12-450870

@article{ 10.5120/ijais12-450870,
author = { Pawan Tamta, Bhagwati Prasad Pande, H. S. Dhami },
title = { Reduction of Maximum Flow Network Interdiction Problem: Step towards the Polynomial Time Solutions },
journal = { International Journal of Applied Information Systems },
issue_date = { February 2013 },
volume = { 5 },
number = { 3 },
month = { February },
year = { 2013 },
issn = { 2249-0868 },
pages = { 25-29 },
numpages = {9},
url = { https://www.ijais.org/archives/volume5/number3/427-0870/ },
doi = { 10.5120/ijais12-450870 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2023-07-05T17:59:12.768794+05:30
%A Pawan Tamta
%A Bhagwati Prasad Pande
%A H. S. Dhami
%T Reduction of Maximum Flow Network Interdiction Problem: Step towards the Polynomial Time Solutions
%J International Journal of Applied Information Systems
%@ 2249-0868
%V 5
%N 3
%P 25-29
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In the present work an attempt is being made to reduce the Maximum Flow Network Interdiction Problem (MFNIP) in to the Subset Sum Problem so as to get some algorithms solvable in polynomial time. Previously developed algorithms are either applicable to some special cases of MFNIP or they do not have a constant performance guarantee. Our reduction has paved the way towards the development of fully polynomial time approximation schemes for Maximum Flow Network Interdiction Problem.

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Index Terms

Computer Science
Information Sciences

Keywords

Maximum Flow Network Interdiction Polynomial Time Solutions MFNIP Subset Sum Problem polynomial

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