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W4313592647 abstract "This paper addresses the optimal design of resilient systems, in which components can fail. The system can react to failures and its behaviour is described by general mixed integer nonlinear programs, which allows for applications to many (technical) systems. This then leads to a three-level optimization problem. The upper level designs the system minimizing a cost function, the middle level represents worst-case failures of components, i.e. interdicts the system, and the lowest level operates the remaining system. We describe new inequalities that characterize the set of resilient solutions and allow to reformulate the problem. The reformulation can then be solved using a nested branch-and-cut approach. We discuss several improvements, for instance, by taking symmetry into account and strengthening cuts. We demonstrate the effectiveness of our implementation on the optimal design of water networks, robust trusses, and gas networks, in comparison to an approach in which the failure scenarios are directly included into the model." @default.
W4313592647 created "2023-01-06" @default.
W4313592647 creator A5033982876 @default.
W4313592647 creator A5081171130 @default.
W4313592647 date "2023-01-04" @default.
W4313592647 modified "2023-10-14" @default.
W4313592647 title "A generic optimization framework for resilient systems" @default.
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W4313592647 doi "https://doi.org/10.1080/10556788.2022.2142581" @default.
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