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In this paper, we propose a framework based on the Retrospective Approximation (RA) paradigm to solve optimization problems with a stochastic objective function and general nonlinear deterministic constraints. This framework sequentially…

Optimization and Control · Mathematics 2025-05-27 Albert S. Berahas , Raghu Bollapragada , Shagun Gupta

The presented work addresses two-stage stochastic programs (2SPs), a broadly applicable model to capture optimization problems subject to uncertain parameters with adjustable decision variables. In case the adjustable or second-stage…

Optimization and Control · Mathematics 2023-07-21 Jan Kronqvist , Boda Li , Jan Rolfes , Shudian Zhao

This paper studied a robust concurrent topology optimization (RCTO) approach to design the structure and its composite materials simultaneously. For the first time, the material uncertainty with imprecise probability is integrated into the…

Computational Engineering, Finance, and Science · Computer Science 2020-03-10 Y. Wu , Eric Li , Z. C. He , X. Y. Lin , H. X. Jiang

We consider an analytical signal control problem on a signalized network whose traffic flow dynamic is described by the Lighthill-Whitham-Richards (LWR) model (Lighthill and Whitham, 1955; Richards, 1956). This problem explicitly addresses…

Optimization and Control · Mathematics 2016-03-25 Ke Han , Hongcheng Liu , Vikash Gayah , Terry L. Friesz , Tao Yao

This paper discusses a novel probabilistic approach for the design of robust model predictive control (MPC) laws for discrete-time linear systems affected by parametric uncertainty and additive disturbances. The proposed technique is based…

Systems and Control · Computer Science 2013-07-16 Giuseppe C. Calafiore , Lorenzo Fagiano

A rich vehicle routing problem is considered, allowing multiple trips of heterogeneous vehicles stationed at geographically distributed vehicle depots having access to different modes of transportation. The problem arises from the…

Optimization and Control · Mathematics 2025-09-18 Santanu Banerjee , Goutam Sen , Siddhartha Mukhopadhyay

Diversity coding is a network restoration technique which offers near-hitless restoration, while other state-of-the art techniques are significantly slower. Furthermore, the extra spare capacity requirement of diversity coding is…

Networking and Internet Architecture · Computer Science 2016-11-11 Serhat Nazim Avci , Ender Ayanoglu

In this work, a single-unit multi-state system is considered. The system is subject to internal failures, as well as external shocks with multiple consequences. It also incorporates a preventive maintenance strategy and a Bernoulli vacation…

Methodology · Statistics 2025-10-14 Juan Eloy Ruiz-Castro , Hugo Alaín Zapata-Ceballos

Designing effective recovery strategies for damaged networked systems is critical to the resilience of built, human and natural systems. However, progress has been limited by the inability to bring together distinct philosophies, such as…

Physics and Society · Physics 2018-11-20 Udit Bhatia , Lina Sela Perelman , Auroop Ratan Ganguly

In disaster-stricken and large-scale urban emergency scenarios, ensuring reliable communication remains a formidable challenge, as collapsed infrastructure, unpredictable mobility, and severely constrained resources disrupt conventional…

Networking and Internet Architecture · Computer Science 2025-09-03 Tao Xiuyuan , Milena Radenkovic

The paper develops a novel design optimization framework and associated computational techniques for staged deployment optimization of complex systems under operational uncertainties. It proposes a local scenario discretization method that…

Optimization and Control · Mathematics 2025-10-31 Koki Ho , Masafumi Isaji , Malav Patel , Kayla Garoust

This paper addresses the challenge of planning a sequence of tasks to be performed by multiple robots while minimizing the overall completion time subject to timing and precedence constraints. Our approach uses the Timed Partial Orders…

In this paper we solve mixed-integer linear programs (MILPs) via distributed asynchronous saddle point computation. This work is motivated by the MILPs being able to model problems in multi-agent autonomy, such as task assignment problems…

Optimization and Control · Mathematics 2024-10-16 Luke Fina , Christopher Petersen , Matthew Hale

Inverse optimization involves inferring unknown parameters of an optimization problem from known solutions and is widely used in fields such as transportation, power systems, and healthcare. We study the contextual inverse optimization…

Machine Learning · Computer Science 2024-06-06 Saurabh Mishra , Anant Raj , Sharan Vaswani

Distribution grid reliability and resilience has become a major topic of concern for utilities and their regulators. In particular, with the increase in severity of extreme events, utilities are considering major investments in distribution…

Optimization and Control · Mathematics 2023-06-13 Alexandre Moreira , Miguel Heleno , Alan Valenzuela , Joseph H. Eto , Jaime Ortega , Cristina Botero

System restoration is critical for power system resilience, nonetheless, its growing reliance on artificial intelligence (AI)-based load forecasting introduces significant cybersecurity risks. Inaccurate forecasts can lead to infeasible…

Systems and Control · Electrical Eng. & Systems 2025-10-07 Chen Chao , Zixiao Ma , Ziang Zhang

Vehicle Routing Problems (VRPs) can model many real-world scenarios and often involve complex constraints. While recent neural methods excel in constructing solutions based on feasibility masking, they struggle with handling complex…

Artificial Intelligence · Computer Science 2024-10-29 Jieyi Bi , Yining Ma , Jianan Zhou , Wen Song , Zhiguang Cao , Yaoxin Wu , Jie Zhang

This study addresses the investment planning problem of a virtual power plant (VPP), formulated as a mixed-integer linear programming (MILP) model. As the number of binary variables increases and the investment time horizon extends, the…

Optimization and Control · Mathematics 2025-04-29 Luca Santosuosso , Sonja Wogrin

Governments across the world are planning to increase the share of renewables in their energy systems. The siting of new wind and solar power plants requires close coordination with grid planning, and hence co-optimization of investment in…

Optimization and Control · Mathematics 2020-09-25 Fabian Neumann , Tom Brown

Combinatorial optimisation problems framed as mixed integer linear programmes (MILPs) are ubiquitous across a range of real-world applications. The canonical branch-and-bound algorithm seeks to exactly solve MILPs by constructing a search…

Machine Learning · Computer Science 2023-03-16 Christopher W. F. Parsonson , Alexandre Laterre , Thomas D. Barrett
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