| Issue |
RAIRO-Oper. Res.
Volume 53, Number 2, April-June 2019
|
|
|---|---|---|
| Page(s) | 461 - 472 | |
| DOI | https://doi.org/10.1051/ro/2017050 | |
| Published online | 26 April 2019 | |
Bi-objective optimization models for network interdiction
1
Department of Industrial Engineering and Operations Research, Columbia University, New York, USA.
2
Data Science Institute, Columbia University, New York USA.
* Corresponding author: cg2917@columbia.edu
Received:
3
September
2016
Accepted:
11
June
2017
This paper designs models for the network interdiction problem. The interdiction problem under study has two contradicting goals: disrupting the network to minimize the profit of one set of agents, while as much as possible preserve the profit of another set of agents. Three bi-objective optimization methods are employed to form the optimal objectives. Also, we develop two formulations (MILP and multi-stage LP) used to deal with congestion cost which is a piecewise cost function. A numerical instance is also presented to better illustrate those models.
Mathematics Subject Classification: 90Cxx
Key words: Bi-objective optimization interdiction / network flows
© EDP Sciences, ROADEF, SMAI 2019
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