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Optimization solvers routinely utilize presolve techniques, including model simplification, reformulation and domain reduction techniques. Domain reduction techniques are especially important in speeding up convergence to the global optimum…

数据结构与算法 · 计算机科学 2017-06-28 Yash Puranik , Nikolaos V. Sahinidis

This paper analyzes the implications of simplified pipeline gas flow models for integrated energy system planning. A case study of an integrated power-hydrogen expansion planning problem shows that simplifying pressure-flow relationships…

系统与控制 · 电气工程与系统科学 2026-05-14 Thomas Klatzer , Yannick Werner , Sonja Wogrin

Mixed-integer linear programs (MILPs) are extensively used to model practical problems such as planning and scheduling. A prominent method for solving MILPs is large neighborhood search (LNS), which iteratively seeks improved solutions…

最优化与控制 · 数学 2024-12-12 Wenbo Liu , Akang Wang , Wenguo Yang , Qingjiang Shi

We introduce a neural network-driven robust optimisation framework that integrates data-driven domain as a constraint into the nonlinear programming technique, addressing the overlooked issue of domain-inconsistent solutions arising from…

机器学习 · 计算机科学 2025-10-17 Waqar Muhammad Ashraf , Talha Ansar , Abdulelah S. Alshehri , Peipei Chen , Ramit Debnath , Vivek Dua

Due to the increasing occurrence of natural disasters, importance of maintaining sustainable energy for cities and society is felt more than ever. On the other hand, power loss reduction is a challenging issue of active distribution…

系统与控制 · 电气工程与系统科学 2024-03-29 Saeed Behzadi , Amir Bagheri , Abbas Rabiee

Accurate prediction of rarefied gas dynamics is crucial for optimizing flows through microelectromechanical systems, air filtration devices, and shale gas extraction. Traditional methods, such as discrete velocity and direct simulation…

This paper introduces a novel algorithm for Mixed-Integer Nonlinear Programming (MINLP) problems with multilinear interpolations of look-up tables. These problems arise when objective or constraints contain black-box functions only known at…

This paper presents a novel outer approximation algorithm for nonsmooth mixed-integer nonlinear programming (MINLP) problems. The method proceeds by fixing the integer variables and solving the resulting nonlinear convex subproblem. When…

最优化与控制 · 数学 2026-02-05 Zhou Wei , He-Yi Liu , Bo Zeng

This study introduces a mixed-integer linear programming (MILP) model, effectively co-optimizing patrolling, damage assessment, fault isolation, repair, and load re-energization processes. The model is designed to solve a vital operational…

系统与控制 · 电气工程与系统科学 2024-01-12 Ali Jalilian , Babak Taheri , Daniel K. Molzahn

In this work, we aim to compare different methods and formulations to solve a problem in air traffic management to global optimality. In particular, we focus on the aircraft deconfliction problem, where we are given n aircraft, their…

最优化与控制 · 数学 2025-01-14 Renan Spencer Trindade , Claudia D'Ambrosio

This paper is on the construction of structure-preserving, online-efficient reduced models for the barotropic Euler equations with a friction term on networks. The nonlinear flow problem finds broad application in the context of gas…

数值分析 · 数学 2021-10-12 Björn Liljegren-Sailer , Nicole Marheineke

We develop an explicit second order staggered finite difference discretization scheme for simulating the transport of highly heterogeneous gas mixtures through pipeline networks. This study is motivated by the proposed blending of hydrogen…

动力系统 · 数学 2024-04-09 Yan Brodskyi , Vitaliy Gyrya , Anatoly Zlotnik

Advancing loss function design is pivotal for optimizing neural network training and performance. This work introduces Random Linear Projections (RLP) loss, a novel approach that enhances training efficiency by leveraging geometric…

机器学习 · 计算机科学 2024-06-03 Shyam Venkatasubramanian , Ahmed Aloui , Vahid Tarokh

This paper presents an analytical and computational framework for optimizing gas withdrawal in reconstructed ring-type pipeline systems under unsteady flow conditions. As urban and industrial energy demands grow, repurposing existing…

最优化与控制 · 数学 2025-10-03 I. G. Aliyev , A. M. Isayev , M. Z. Yusifov , A. J. Mammadov , A. S. Mammadov

High-level decision-making for dynamical systems often involves performance and safety specifications that are activated or deactivated depending on conditions related to the system state and commands. Such decision-making problems can be…

最优化与控制 · 数学 2025-04-04 Andrea Ghezzi , Armin Nurkanović , Avishai Weiss , Moritz Diehl , Stefano Di Cairano

Due to the current and foreseeable shifts in energy production, the trading and transport operations of gas will become more dynamic, volatile, and hence also less predictable. Therefore, computer-aided support in terms of rapid simulation…

最优化与控制 · 数学 2021-12-20 Felix Hennings , Milena Petkovic , Tom Streubel

In the consideration of steady-state flow of gas in pipeline networks, the exclusion of gravity and nonlinear inertial effects (convective acceleration) leads to a fortuitous simplification in the governing equations to yield a system of…

综合数学 · 数学 2026-02-23 Shriram Srinivasan , Kaarthik Sundar

Natural gas consumption by users of pipeline networks is subject to increasing uncertainty that originates from the intermittent nature of electric power loads serviced by gas-fired generators. To enable computationally efficient…

最优化与控制 · 数学 2024-03-28 Saif R. Kazi , Sidhant Misra , Svetlana Tokareva , Kaarthik Sundar , Anatoly Zlotnik

Optimization of Mixed-Integer Non-Linear Programming (MINLP) supports important decisions in applications such as Chemical Process Engineering. But current solvers have limited ability for deductive reasoning or the use of domain-specific…

人工智能 · 计算机科学 2017-02-07 Andrea Callia D'Iddio , Michael Huth

This paper proposes a tractable framework to determine key characteristics of non-linear dynamic systems by converting physics-informed neural networks to a mixed integer linear program. Our focus is on power system applications.…

系统与控制 · 电气工程与系统科学 2021-04-01 Georgios S. Misyris , Jochen Stiasny , Spyros Chatzivasileiadis