Intruder detection and interdiction modeling: A bilevel programming approach for ballistic missile defense asset location

Haywood, Adam B.; Lunday, Brian J.; Robbins, Matthew J.

doi:10.1016/j.omega.2022.102640

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Cited by 8 publications

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A Fully Bayesian Approach to Bilevel Problems

Dogan,

Prestwich,

O’Sullivan

2024

Lecture Notes in Computer Science

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A Fully Bayesian Approach to Bilevel Problems

Dogan,

Prestwich,

O’Sullivan

2024

Lecture Notes in Computer Science

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Uncertain multilevel programming with application to omni-channel vehicle routing problem

Gao

Ralescu

2022

J Ambient Intell Human Comput

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Multilevel programming is widely applied to solve decentralized decision-making problems. In practice, indeterminacies are presented in these problems due to volatile factors or emergencies. As a type of indeterminacy, uncertainty is introduced in multilevel programming. For resolving multilevel programming problems with uncertain parameters, this paper constructs the uncertain expected value multilevel programming model and chance-constrained multilevel programming. Then, these models are converted to their equivalent forms. Moreover, the Stackelberg-Nash equilibrium solutions are obtained by using a genetic algorithm. Finally, these models are applied to the omni-channel vehicle routing problem, and a numerical experiment is given. The numerical experiment shows that the established models can optimize the distribution efficiency by coordinating the interests of decision-makers.

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Uncertain random bilevel programming models and their application to shared capacity routing problem

Gao

2023

Journal of Computational and Applied Mathematics

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Intruder detection and interdiction modeling: A bilevel programming approach for ballistic missile defense asset location

Cited by 8 publications

References 20 publications

A Fully Bayesian Approach to Bilevel Problems

A Fully Bayesian Approach to Bilevel Problems

Uncertain multilevel programming with application to omni-channel vehicle routing problem

Uncertain random bilevel programming models and their application to shared capacity routing problem

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