Title
Bilevel Model for Adaptive Network Flow Problem
Abstract
We propose to solve the adaptive network flow problem via a bilevel optimization framework. In this problem, we aim to find a flow that is most robust against any k edges attack. There is an exact algorithm proposed to solve the problem in a specific class of input graphs. However, for some input graphs that are not in that class, a flow obtained from the algorithms is sometimes much less robust than the optimal one. That motivates us to find an efficient exact algorithm based on bilevel optimization framework for the problem in this paper. The framework can give us much better results using reasonable amount of times.
Year
DOI
Venue
2018
10.1016/j.endm.2018.01.012
Electronic Notes in Discrete Mathematics
Keywords
Field
DocType
adaptive network flow problem,network interdiction problem,bilevel optimization framework
Flow network,Graph,Discrete mathematics,Mathematical optimization,Exact algorithm,Bilevel optimization,Flow (psychology),Mathematics
Journal
Volume
ISSN
Citations 
64
1571-0653
0
PageRank 
References 
Authors
0.34
10
3
Name
Order
Citations
PageRank
Jean-François Baffier1144.80
Pierre-Louis Poirion2247.43
Vorapong Suppakitpaisarn32813.11