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Motion planning and control problems are embedded and essential in almost all robotics applications. These problems are often formulated as stochastic optimal control problems and solved using dynamic programming algorithms. Unfortunately,…

机器人学 · 计算机科学 2018-01-12 Alex A. Gorodetsky , Sertac Karaman , Youssef M. Marzouk

The parallel machine scheduling problem has been a popular topic for many years due to its theoretical and practical importance. This paper addresses the robust makespan optimization problem on unrelated parallel machine scheduling with…

最优化与控制 · 数学 2020-10-23 Chutong Gao , Weihao Wang , Leyuan Shi

The manpower scheduling problem is a critical research field in the resource management area. Based on the existing studies on scheduling problem solutions, this paper transforms the manpower scheduling problem into a combinational…

人工智能 · 计算机科学 2021-05-12 Lingyu Zhang , Tianyu Liu , Yunhai Wang

Two key challenges in optimal control include efficiently solving high-dimensional problems and handling optimal control problems with state-dependent running costs. In this paper, we consider a class of optimal control problems whose…

最优化与控制 · 数学 2023-05-16 Paula Chen , Jérôme Darbon , Tingwei Meng

This paper proposes a stable sparse rapidly-exploring random trees (SST) algorithm to solve the optimal motion planning problem for hybrid systems. At each iteration, the proposed algorithm, called HySST, selects a vertex with the lowest…

机器人学 · 计算机科学 2023-05-31 Nan Wang , Ricardo G. Sanfelice

Sequential decision problems in applications such as manipulation in warehouses, multi-step meal preparation, and routing in autonomous vehicle networks often involve reasoning about uncertainty, planning over discrete modes as well as…

人工智能 · 计算机科学 2019-06-24 Shushman Choudhury , Mykel J. Kochenderfer

In this paper, we propose a methodology for partitioning and mapping computational intensive applications in reconfigurable hardware blocks of different granularity. A generic hybrid reconfigurable architecture is considered so as the…

硬件体系结构 · 计算机科学 2011-11-09 M. D. Galanis , A. Milidonis , G. Theodoridis , D. Soudris , C. E. Goutis

We present a tree structure algorithm for optimal control problems with state constraints. We prove a convergence result for a discrete time approximation of the value function based on a novel formulation of the constrained problem. Then…

数值分析 · 数学 2020-09-29 Alessandro Alla , Maurizio Falcone , Luca Saluzzi

Optimal control synthesis in stochastic systems with respect to quantitative temporal logic constraints can be formulated as linear programming problems. However, centralized synthesis algorithms do not scale to many practical systems. To…

系统与控制 · 计算机科学 2015-03-26 Jie Fu , Shuo Han , Ufuk Topcu

In this paper, we consider a class of continuous-time, continuous-space stochastic optimal control problems. Building upon recent advances in Markov chain approximation methods and sampling-based algorithms for deterministic path planning,…

机器人学 · 计算机科学 2012-02-27 Vu Anh Huynh , Sertac Karaman , Emilio Frazzoli

In this paper, we mainly focus on solving high-dimensional stochastic Hamiltonian systems with boundary condition, which is essentially a Forward Backward Stochastic Differential Equation (FBSDE in short), and propose a novel method from…

最优化与控制 · 数学 2021-12-13 Shaolin Ji , Shige Peng , Ying Peng , Xichuan Zhang

In this paper, we propose a new methodology for state constrained stochastic optimal control (SOC) problems. The solution is based on past work in solving SOC problems using forward-backward stochastic differential equations (FBSDE). Our…

系统与控制 · 电气工程与系统科学 2021-04-07 Bolun Dai , Prashanth Krishnamurthy , Andrew Papanicolaou , Farshad Khorrami

Systems across different industries consist of interrelated processes and decisions in different time scales including long-time decisions and short-term decisions. To optimize such systems, the most effective approach is to formulate and…

最优化与控制 · 数学 2025-03-25 Asha Ramanujam , Can Li

This paper develops a unified methodology for probabilistic analysis and optimal control design for jump diffusion processes defined by polynomials. For such systems, the evolution of the moments of the state can be described via a system…

最优化与控制 · 数学 2017-02-03 Andrew Lamperski , Khem Raj Ghusinga , Abhyudai Singh

Hidden Markov models (HMMs) are popular models to identify a finite number of latent states from sequential data. However, fitting them to large data sets can be computationally demanding because most likelihood maximization techniques…

Optimization problems in engineering and applied mathematics are typically solved in an iterative fashion, by systematically adjusting the variables of interest until an adequate solution is found. The iterative algorithms that govern these…

最优化与控制 · 数学 2022-05-31 Laurent Lessard

This thesis explores the benefits machine learning algorithms can bring to online planning and scheduling for autonomous vehicles in off-road situations. Mainly, we focus on typical problems of interest which include computing itineraries…

人工智能 · 计算机科学 2021-08-03 Kevin Osanlou

This paper presents a joint optimisation framework for optimal estimation and stochastic optimal control with imperfect information. It provides a estimation and control scheme that can be decomposed into a classical optimal estimation step…

最优化与控制 · 数学 2023-03-27 Emilien Flayac , Karim Dahia , Bruno Hérissé , Frédéric Jean

Real-life parallel machine scheduling problems can be characterized by: (i) limited information about the exact task duration at scheduling time, and (ii) an opportunity to reschedule the remaining tasks each time a task processing is…

最优化与控制 · 数学 2023-11-22 Izack Cohen , Krzysztof Postek , Shimrit Shtern

The paper addresses an optimal control problem for a perturbed sweeping process of the rate-independent hysteresis type described by a controlled "play and stop" operator with separately controlled perturbations. This problem can be reduced…

最优化与控制 · 数学 2015-12-01 Tan H. Cao , Boris S. Mordukhovich