Connections between Robust and Bilevel Optimization by Goerigk, Marc, Kurtz, Jannis, Schmidt, Martin, Thürauf, Johannes

Subjects: “…Bilevel optimization…”
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Bilevel Optimization of Regular Bus-Subway-Shared Bicycle Cooperative Operation considering Dual Uncertainties by Yunqiang Xue, Tong He, Tao Li, Hongzhi Guan, Yang Qiu

“…The comprehensive optimization results have effectively fulfilled the objectives of the bilevel optimization model, thereby confirming the rationality and practicality of the optimization approach. …”
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Resiliency Improvement of Distribution Network Considering the Charge/Discharge Management of Electric Vehicles in Parking Lots through a Bilevel Optimization Approach by Mohammad Alizadeh, Meysam Jafari-Nokandi, Majid Shahabi

“…This paper presents a bilevel optimization model to improve the resiliency of the DN taking into account the interaction between the DN islanding problem and the charge/discharge scheduling of PEVs in the energized EVPLs. …”
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Co-optimization of Demand Response Aggregators and distribution system operator for resilient operation using machine learning based wind generation forecasting: A bilevel approach by Farid Hamzeh Aghdam, Aleksandr Zavodovski, Adeleye Adetunji, Mehdi Rasti, Eva Pongracz, Mohammad Sadegh Javadi, João P.S. Catalão

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Model Analysis of Environmental and Economic Impacts of a Microgrid Based on the Optimization Method by Pengxiao Ji

“…On the basis of studying the bilevel optimization theory, this paper applies the bilevel optimization theory to the economic dispatch of the microgrid and constructs a bilevel economic dispatch model of the microgrid considering the environmental benefits. …”
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Big Data-Driven Based Real-Time Traffic Flow State Identification and Prediction by Hua-pu Lu, Zhi-yuan Sun, Wen-cong Qu

“…Considering simple calculation and predictive accuracy, a bilevel optimization model for regional traffic flow correlation analysis is established to predict traffic flow parameters based on temporal-spatial-historical correlation. …”
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A Class of Expected Value Bilevel Programming Problems with Random Coefficients Based on Rough Approximation and Its Application to a Production-Inventory System by Liming Yao, Jiuping Xu

“…This paper focuses on the development of a bilevel optimization model with random coefficients for a production-inventory system. …”
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Flexible Emergency Vehicle Network Design considering Stochastic Demands and Inverse-Direction Lanes by Hua Wang, Ling Xiao, Zhang Chen

“…We formulate the problem as a bilevel optimization model, where the upper-level model aims to determine the optimal design of EV lanes and the lower-level model uses the user equilibrium principle to forecast the route choice of road users. …”
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Optimization of Port Emergency Materials Dispatch with Time Windows Constraints under Uncertainties by Bowei Xu, Yuqing Wang, Junjun Li

“…To solve the congestion problem of container terminals and ensure the priority dispatch of emergency materials, this study uses the optimized arrival patterns of external trucks and a priority dispatch strategy for emergency materials to establish a bilevel optimization model for container terminals and proposes a chaotic genetic algorithm based on logistic mapping as a solution. …”
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Service Arms with Unconventional Robotic Parameters for Intricate Workstations: Optimal Number and Dimensional Synthesis by Satwinder Singh, Ekta Singla

“…This enhances the solution space and it is observed that, by inducing this flexibility, the required number of degrees of freedom for fulfilling a given task can be reduced. A bilevel optimization problem is formulated with the outer layer utilizing the binary search method for minimizing the number of degrees of freedom. …”
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Optimal Road Toll Design from the Perspective of Sustainable Development by Lin Cheng, Fei Han

“…In order to simultaneously consider the impacts of all these three indicators on sustainability of transportation system, we integrate them into a sustainable development index (SD-index) by a linear combination, and then we establish the corresponding bilevel optimization model. The upper level problem is the network toll design problem to maximize the SD-index from the viewpoint of traffic managers, and the lower level problem is to depict travelers’ route choice behavior under a certain road toll scheme. …”
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Concurrent Learning of Control Policy and Unknown Safety Specifications in Reinforcement Learning by Lunet Yifru, Ali Baheri

“…Initializing with a parametric signal temporal logic (pSTL) safety specification and a small initial labeled dataset, we frame the problem as a bilevel optimization task, intricately integrating constrained policy optimization, using a Lagrangian-variant of the twin delayed deep deterministic policy gradient (TD3) algorithm, with Bayesian optimization for optimizing parameters for the given pSTL safety specification. …”
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Capacity market in the decarbonization era: Adequacy, flexibility, and environmental revenue by Chaojie Li, Youquan Jiang, Jiang Dai, Ruyue Guo, Ying Zhang, Shijin Tian, Siran Peng

“…Furthermore, the bilevel optimization model is converted to its equivalent single‐level scheme based on the Karush–Kuhn–Tucker optimality conditions. …”
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