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We propose some domain-independent techniques for bringing well-founded partial-order planners closer to practicality. The first two techniques are aimed at improving search control while keeping overhead costs low. One is based on a simple…

人工智能 · 计算机科学 2009-09-25 A. Gerevini , L. Schubert

Many robotics tasks, such as path planning or trajectory optimization, are formulated as optimal control problems (OCPs). The key to obtaining high performance lies in the design of the OCP's objective function. In practice, the objective…

系统与控制 · 电气工程与系统科学 2025-04-02 Trevor Barron , Xiaojing Zhang

A formulation for the automated generation of algorithms via mathematical programming (optimization) is proposed. The formulation is based on the concept of optimizing within a parameterized family of algorithms, or equivalently a family of…

最优化与控制 · 数学 2018-02-14 Alexander Mitsos , Jaromił Najman , Ioannis G. Kevrekidis

Quantifying extra functions, herein referred to as outcome functions, over optimal solutions of an optimization problem can provide decision makers with additional information on a system. This bears more importance when the optimization…

最优化与控制 · 数学 2020-12-17 Mohsen Mohammadi , Monica Gentili

Many systems require optimisation over multiple objectives, where objectives are characteristics of the system such as energy consumed or increase in time to perform the work. Optimisation is performed by selecting the `best' set of input…

性能 · 计算机科学 2019-10-08 Alexander J. M. Kell , Matthew Forshaw , A. Stephen McGough

This work tackles a class of optimization problems in which fixing some well-chosen combinations of the variables makes the problem substantially easier to solve. We consider that the variables space may be partitioned into subsets that fix…

最优化与控制 · 数学 2026-03-13 Charles Audet , Pierre-Yves Bouchet , Loïc Bourdin

Optimization problems seek to find the best solution to an objective under a set of constraints, and have been widely investigated in real-world applications. Modeling and solving optimization problems in a specific domain typically require…

最优化与控制 · 数学 2024-07-12 Jihai Zhang , Wei Wang , Siyan Guo , Li Wang , Fangquan Lin , Cheng Yang , Wotao Yin

One of the most ubiquitous problems in optimization is that of finding all the elements of a finite set at which a function $f$ attains its minimum (or maximum). When the codomain of $f$ is equipped with a total order, it is easy to…

最优化与控制 · 数学 2026-03-17 Patrik Jansson , Nicola Botta , Tim Richter

Forecasting the scalable future states of surrounding traffic participants in complex traffic scenarios is a critical capability for autonomous vehicles, as it enables safe and feasible decision-making. Recent successes in learning-based…

机器人学 · 计算机科学 2023-05-08 Haochen Liu , Zhiyu Huang , Chen Lv

The optimal binning is the optimal discretization of a variable into bins given a discrete or continuous numeric target. We present a rigorous and extensible mathematical programming formulation for solving the optimal binning problem for a…

机器学习 · 计算机科学 2022-12-12 Guillermo Navas-Palencia

The orienteering problem (OP) is a combinatorial optimization problem that seeks a path visiting a subset of locations to maximize collected rewards under a limited resource budget. This article presents a systematic PRISMA-based review of…

最优化与控制 · 数学 2025-12-19 Songhao Shen , Yufeng Zhou , Qin Lei , Zhibin Wu

We present a safe-by-design approach to path planning and control for nonlinear systems. The planner uses a low fidelity model of the plant to compute reference trajectories by solving an MPC problem, while the plant being controlled…

系统与控制 · 电气工程与系统科学 2019-10-03 He Yin , Monimoy Bujarbaruah , Murat Arcak , Andrew Packard

Robust optimization is a common framework in optimization under uncertainty when the problem parameters are not known, but it is rather known that the parameters belong to some given uncertainty set. In the robust optimization framework the…

最优化与控制 · 数学 2014-02-27 Aharon Ben-Tal , Elad Hazan , Tomer Koren , Shie Mannor

This article studies the problem of modifying the action ordering of a plan in order to optimise the plan according to various criteria. One of these criteria is to make a plan less constrained and the other is to minimize its parallel…

人工智能 · 计算机科学 2011-05-30 C. Backstrom

A common problem in the optimization of structures is the handling of uncertainties in the parameters. If the parameters appear in the constraints, the uncertainties can lead to an infinite number of constraints. Usually the constraints…

最优化与控制 · 数学 2012-05-01 Daniel P. Mohr , Ina Stein , Thomas Matzies , Christina A. Knapek

Many real-life optimization problems frequently contain one or more constraints or objectives for which there are no explicit formulas. If data is however available, these data can be used to learn the constraints. The benefits of this…

机器学习 · 计算机科学 2022-09-23 Adejuyigbe Fajemisin , Donato Maragno , Dick den Hertog

With dramatic improvements in optimization software, the solution of large-scale problems that seemed intractable decades ago are now a routine task. This puts even more real-world applications into the reach of optimizers. At the same…

最优化与控制 · 数学 2023-03-07 Marc Goerigk , Michael Hartisch

With the applications of quantum computing becoming more and more widespread, finding ways that allow end users without experience in the field to apply quantum computers to solve their individual problems is becoming a crucial task.…

量子物理 · 物理学 2024-04-18 Damian Rovara , Nils Quetschlich , Robert Wille

We consider problems in which a mobile robot samples an unknown function defined over its operating space, so as to find a global optimum of this function. The path traveled by the robot matters, since it influences energy and time…

机器人学 · 计算机科学 2023-12-19 Tudor Santejudean , Lucian Busoniu

Constraint Optimization Problems (COP) are often considered without sufficient knowledge on the boundaries of the objective variable to optimize. When available, tight boundaries are helpful to prune the search space or estimate problem…

人工智能 · 计算机科学 2022-03-23 Helge Spieker , Arnaud Gotlieb