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The alternating current optimal power flow (AC-OPF) problem is critical to power system operations and planning, but it is generally hard to solve due to its nonconvex and large-scale nature. This paper proposes a scalable decomposition…

Optimization and Control · Mathematics 2020-06-12 Shenyinying Tu , Andreas Waechter , Ermin Wei

In this paper we deal with a network of agents seeking to solve in a distributed way Mixed-Integer Linear Programs (MILPs) with a coupling constraint (modeling a limited shared resource) and local constraints. MILPs are NP-hard problems and…

Systems and Control · Computer Science 2020-10-28 Andrea Camisa , Ivano Notarnicola , Giuseppe Notarstefano

Power systems that need to integrate renewables at a large scale must account for the high levels of uncertainty introduced by these power sources. This can be accomplished with a system of many distributed grid-level storage devices.…

Optimization and Control · Mathematics 2020-02-04 Joseph L. Durante , Juliana Nascimento , Warren B. Powell

Time series forecasting remains a central challenge problem in almost all scientific disciplines. We introduce a novel load forecasting method in which observed dynamics are modeled as a forced linear system using Dynamic Mode Decomposition…

Physics and Society · Physics 2021-07-13 Daniel Dylewsky , David Barajas-Solano , Tong Ma , Alexandre M. Tartakovsky , J. Nathan Kutz

This paper proposes an efficient algorithmic approach that overcomes the critical challenges in the real-time unbalanced distribution system state estimation, topology error processing, and outage identification simultaneously: (1) Limited…

Optimization and Control · Mathematics 2021-05-24 Zahra Soltani , Shanshan Ma , Mojdeh Khorsand , Vijay Vittal

Distribution networks are increasingly exposed to threats such as extreme weather, aging infrastructure, and cyber risks--resulting in more frequent contingencies and outages, a trend likely to persist. Microgrids, particularly dynamic…

Optimization and Control · Mathematics 2025-10-10 Hannah Moring , Bala Kameshwar Poolla , Harsha Nagarajan , Johanna L. Mathieu , Andrey Bernstein , David M. Fobes

Decarbonizing long-haul freight requires large-scale deployment of high-power charging infrastructure. This paper studies a multi-period charging station location problem that determines where and when to deploy charging capacity for…

Multistage stochastic programming deals with operational and planning problems that involve a sequence of decisions over time while responding to realizations that are uncertain. Algorithms designed to address multistage stochastic linear…

Optimization and Control · Mathematics 2020-10-26 Harsha Gangammanavar , Suvrajeet Sen

Lagrangian duality in mixed integer optimization is a useful framework for problems decomposition and for producing tight lower bounds to the optimal objective, but in contrast to the convex counterpart, it is generally unable to produce…

Optimization and Control · Mathematics 2014-11-10 Robin Vujanic , Peyman Mohajerin Esfahani , Paul Goulart , Sebastien Mariethoz , Manfred Morari

The U.S. power grid is undergoing a major paradigm shift with the increased development of renewable generators, electric vehicles, and data centers. In response to this growing need, the U.S. has ramped up the construction of…

Optimization and Control · Mathematics 2026-03-20 Rosemary Barrass , Harsha Nagarajan , Mathieu Tanneau , Russell Bent , Pascal Van Hentenryck

Benders decomposition is a widely used method for solving large optimization problems, but its performance is often hindered by the repeated solution of subproblems. We propose a flexible and modular algorithmic framework for accelerating…

Optimization and Control · Mathematics 2025-08-05 Parth Brahmbhatt , David L. Cole , Victor M. Zavala , Styliani Avraamidou

This paper proposes an optimization-based framework for the analysis of multiperiod directed multihypergraphs aimed at identifying self-amplifying structures that sustain endogenous growth in complex systems. The approach captures the…

Optimization and Control · Mathematics 2026-04-15 Víctor Blanco , Ricardo Gázquez , Juan Francisco Ocaña-Rivas

Fast and accurate large-scale energy system models are needed to investigate the potential of storage to complement the fluctuating energy production of renewable energy systems. However, standard Mixed-Integer Programming (MIP) models that…

Increasingly volatile electricity prices make simultaneous scheduling optimization desirable for production processes and their energy systems. Simultaneous scheduling needs to account for both process dynamics and binary on/off-decisions…

Optimization and Control · Mathematics 2022-07-28 Florian Joseph Baader , André Bardow , Manuel Dahmen

A novel overlapping domain decomposition splitting algorithm based on a Crank-Nisolson method is developed for the stochastic nonlinear Schroedinger equation driven by a multiplicative noise with non-periodic boundary conditions. The…

Numerical Analysis · Mathematics 2023-09-08 Lihai Ji

In this paper, we study multistage stochastic mixed-integer nonlinear programs (MS-MINLP). This general class of problems encompasses, as important special cases, multistage stochastic convex optimization with non-Lipschitzian value…

Optimization and Control · Mathematics 2022-05-23 Shixuan Zhang , Xu Andy Sun

This paper proposes a stochastic optimal preparation and resource allocation method for upcoming extreme weather events in distribution systems, which can assist utilities to achieve faster and more efficient post-event restoration. With…

Systems and Control · Electrical Eng. & Systems 2021-09-22 Qianzhi Zhang , Zhaoyu Wang , Shanshan Ma , Anmar Arif

The energy efficiency of future networks is becoming a significant and urgent issue, calling for greener network designs. At the same time, rapid development of wireless networks shows a trend of increasing complexity in network structure…

Networking and Internet Architecture · Computer Science 2017-06-08 Lu Liu , Yu Cheng , Xianghui Cao , Sheng Zhou , Zhisheng Niu , Ping Wang

We consider electricity capacity expansion models, which optimize investment and retirement decisions by minimizing both investment and operation costs. In order to provide credible support for planning and policy decisions, these models…

Optimization and Control · Mathematics 2025-01-08 Filippo Pecci , Jesse D. Jenkins

Large language model (LLM) decoding is a major inference bottleneck because its low arithmetic intensity makes performance highly sensitive to memory bandwidth. 3D-stacked near-memory processing (NMP) provides substantially higher local…

Hardware Architecture · Computer Science 2026-04-10 Chenyang Ai , Yixing Zhang , Haoran Wu , Yudong Pan , Lechuan Zhao , Wenhui OU