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Exploring the Power of Graph Neural Networks in Solving Linear Optimization Problems
International Conference on Artificial Intelligence and Statistics, 2023Recently, machine learning, particularly message-passing graph neural networks (MPNNs), has gained traction in enhancing exact optimization algorithms.
Chendi Qian +2 more
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A Unified Framework for Multistage and Multilevel Mixed Integer Linear Optimization
Springer Optimization and Its Applications, 2021We introduce a unified framework for the study of multilevel mixed integer linear optimization problems and multistage stochastic mixed integer linear optimization problems with recourse.
Suresh Bolusani +3 more
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ACM SIGSPATIAL International Workshop on Advances in Geographic Information Systems, 2017
Ramteen Sioshansi, Antonio J. Conejo
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Ramteen Sioshansi, Antonio J. Conejo
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Mathematical Programming Computation, 2020
In this paper, we describe a comprehensive algorithmic framework for solving mixed integer bilevel linear optimization problems (MIBLPs) using a generalized branch-and-cut approach.
Sahar Tahernejad +2 more
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In this paper, we describe a comprehensive algorithmic framework for solving mixed integer bilevel linear optimization problems (MIBLPs) using a generalized branch-and-cut approach.
Sahar Tahernejad +2 more
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SIAM Journal on Applied Mathematics, 1973
Consider a set of n pins and $n( n - 1 )/2$ specified numbers of wire connections between all pairs of the n pins There are also n holes all in a line with adjacent holes at unit distances apart. The problem is to put the n pins into the n holes such that the total wire length is a minimum.
Adolphson, D., Hu, T. C.
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Consider a set of n pins and $n( n - 1 )/2$ specified numbers of wire connections between all pairs of the n pins There are also n holes all in a line with adjacent holes at unit distances apart. The problem is to put the n pins into the n holes such that the total wire length is a minimum.
Adolphson, D., Hu, T. C.
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On linear optimization over Wasserstein balls
Mathematical programming, 2020Wasserstein balls, which contain all probability measures within a pre-specified Wasserstein distance to a reference measure, have recently enjoyed wide popularity in the distributionally robust optimization and machine learning communities to formulate ...
Man-Chung Yue, D. Kuhn, W. Wiesemann
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Journal of Algorithms, 1990
Summary: We investigate the problem of linear broadcast, which is performed in a network in which messages follow linear routes. This is a characteristic of many high-speed networks, in which a special hardware is used for switching. Following, extending, and improving the recent work of \textit{C. T. Chou} and \textit{I. S.
Bitan, Sara, Zaks, Shmuel
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Summary: We investigate the problem of linear broadcast, which is performed in a network in which messages follow linear routes. This is a characteristic of many high-speed networks, in which a special hardware is used for switching. Following, extending, and improving the recent work of \textit{C. T. Chou} and \textit{I. S.
Bitan, Sara, Zaks, Shmuel
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