In a physical design problem, the designer chooses values of some physical parameters, within limits, to optimize the resulting field. We focus on the specific case in which each physical design parameter is the ratio of two field variables. This form occurs for photonic design with real scalar fields, diffusion-type systems, and others. We show that such problems can be reduced to a convex optimization problem, and therefore efficiently solved globally, given the sign of an optimal field at every point. This observation suggests a heuristic, in which the signs of the field are iteratively updated. This heuristic appears to have good practical performance on diffusion-type problems (including thermal design and resistive circuit design) and some control problems, while exhibiting moderate performance on photonic design problems. We also show in many practical cases there exist globally optimal designs whose design parameters are maximized or minimized at each point in the domain, i.e., that there is a discrete globally optimal structure.
Robust Design of Multi-Energy Systems Accounting for Mixed-Integer Operational Problems
Institute of Climate and Energy Systems, Energy Systems Engineering (ICE-1), Forschungszentrum Jülich GmbH（于利希研究中心）；RWTH Aachen University（亚琛工业大学）；JARA-ENERGY（JARA-能源）
HiFo-Prompt: Prompting with Hindsight and Foresight for LLM-based Automatic Heuristic Design
School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, China（西安交通大学数学与统计学院）；School of Electronics and Information, Northwest Polytechnical University, Xi’an, China（西北工业大学电子与信息学院）
A Heuristic Alternating Direction Method of Multipliers Framework for Distributed and Centralized Tree-Constrained Optimization: Applications to Hop-Constrained Spanning Tree Multicommodity Flow Design
New Jersey Institute of Technology (NJIT)（新泽西理工学院）
Bilevel Optimization and Heuristic Algorithms for Integrating Latent Demand into the Design of Large-Scale Transit Systems
H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology（佐治亚理工学院 H. 米尔顿·斯图尔特工业与系统工程学校）；Department of Business Analytics, Tippie College of Business, University of Iowa（爱荷华大学蒂皮商学院商业分析系）
A Heuristic Approach for Performance Tuning in RL-based Quadrotor Control via Reward Design and Termination Conditions
Robotics and AI group, in the Department of Computer Science, Electrical and Space Engineering at Luleå University of Technology（鲁德尼大学机器人与人工智能小组，计算机科学、电气与空间工程系）
