作者
Darshan Chauhan, Avinash Unnikrishnan, Stephen D Boyles, Priyadarshan N Patil
发表日期
2024/1/18
期刊
Annals of Operations Research
卷号
335
页码范围
689-725
出版商
Springer US
简介
This article discusses a robust network interdiction problem considering uncertainties in arc capacities and resource consumption. The problem involves two players: an adversary seeking to maximize the flow of a commodity through the network and an interdictor whose objective is to minimize this flow. The interdictor plays first and selects network arcs to interdict, subject to a resource constraint. The problem is formulated as a bilevel problem, and an upper bound single level mix-integer linear formulation is derived. The upper bound formulation is solved using three heuristics tailored for this problem and the network structure, based on Lagrangian relaxation and Benders’ decomposition. On average, each heuristic provides a reduction in run time of at least 85% compared to a state-of-the-art solver. Enhanced Benders’ decomposition achieves a solution with an optimality gap of less than 5% for all tested …
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D Chauhan, A Unnikrishnan, SD Boyles, PN Patil - Annals of Operations Research, 2024