Bi-objective optimization models for network interdiction
RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 2, pp. 461-472.

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.

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Accepté le :
DOI : 10.1051/ro/2017050
Classification : 90Cxx
Mots-clés : Bi-objective optimization interdiction, network flows
Chen, Yan 1 ; Guo, Cheng 1 ; Yu, Shenghan 1

1 
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     author = {Chen, Yan and Guo, Cheng and Yu, Shenghan},
     title = {Bi-objective optimization models for network interdiction},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {461--472},
     publisher = {EDP-Sciences},
     volume = {53},
     number = {2},
     year = {2019},
     doi = {10.1051/ro/2017050},
     zbl = {1430.90540},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/ro/2017050/}
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Chen, Yan; Guo, Cheng; Yu, Shenghan. Bi-objective optimization models for network interdiction. RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 2, pp. 461-472. doi : 10.1051/ro/2017050. http://www.numdam.org/articles/10.1051/ro/2017050/

A. Azaron, K.N. Brown, S.A. Tarim, M.A. Modarres, Multi-objective Stochastic Programming Approach for Supply Chain Design Considering Risk. Inter. J. Production Econ. 116 (2008) 129–138.

M.B. Aryanezhad, A. Jabbarzadeh, An Integrated Model for Location-inventory Problem With Random Disruptions, in Proc. of International Conference on Computers & Industrial Engineering (2009) 687–703.

D. Bertsimas, E. Nasrabadi, J.B. Orlin, On the Power of Randomization in Network Interdiction. Oper. Res. Lett. 44.1 (2016) 114–120. | Zbl

D. Bienstock, A. Vermas, Using Mixed-integer Programming to Solve Power Grid Blackout Problems. Discrete Optimiz. 4 (2007) 115–141. | Zbl

J.F. Bérubé, M. Gendreau, J.Y. Potvin, An Exact ε-constraint Method for Bi-objective Combinatorial Optimization Problems: Application to the Traveling Salesman Problem With Profit. Eur. J. Oper. Res. 194 (2009) 39–50. | Zbl

A. Chen, C. Yang, S. Konsomsaksakul, M. Lee, Network-based Accessibility Measures for Vulnerability Analysis of Degradable Transportation Networks. Networks Spatial Econ. 7 (2007) 241–256. | Zbl

R. Chen, A. Cohn, A. Pinar, An Implicit Optimization Approach for Survivable Network Design, in Proc. of IEEE Network Science Workshop (2011).

I. Contreras, E. Fernández, General Network Design: a Unified View of Combined Location and Network Design Problems. Eur. J. Oper. Res. 212 (2011) 518–528.

M.S. Daskin, C.R. Coullard, Z.-J. Max Shen, An Inventory-location Model: Formulation, Solution Algorithm and Computational Results. Ann. Oper. Res. 110 (2002) 83–106. | Zbl

L.V. Snyder, M.S. Daskin, Models for Reliable Supply Chain Network Design. Critical Infrastructure: Reliability and Vulnerability, Springer Nature Switzerland (2007) pp. 257–289.

R. Taha, K. Abdallah, Y. Sadek, Multi-objective Supply Chain Network Design Under Uncertainty Using Robust Global Programming Approach, in Proc. of the 2015 International Conference on Operations Excellence and Service Engineering, Orlando, Florida, USA (2015).

E. Teimuory, F. Atoei, E.A. Amiri, Mohammadi, A Multi-objective Reliable Programming Model for Disruption in Supply Chain. Manag. Sci. Lett. 3 (2013) 1467–1478.

R. Wollmer, Removing Arcs From a Network. Oper. Res. 12 (1964) 934–940. | Zbl

R.K. Wood, Deterministic Network Interdiction. Math. Comput. Model. 17 (1993) 1–18. | Zbl

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