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In this paper the connection between stochastic optimal control and reinforcement learning is investigated. Our main motivation is to apply importance sampling to sampling rare events which can be reformulated as an optimal control problem.…

最优化与控制 · 数学 2024-02-16 Jannes Quer , Enric Ribera Borrell

This paper proposes a new formulation for the dynamic resource allocation problem, which converts the traditional MDP model with known parameters and no capacity constraints to a new model with uncertain parameters and a resource capacity…

最优化与控制 · 数学 2020-11-10 Onur Demiray , Evrim Didem Güneş , Lerzan Örmeci

This paper considers the following stochastic control problem that arises in opportunistic spectrum access: a system consists of n channels (Gilbert-Elliot channels)where the state (good or bad) of each channel evolves as independent and…

信息论 · 计算机科学 2009-10-13 Sahand Haji Ali Ahmad , Mingyan Liu

Formulating real-world optimization problems often begins with making predictions from historical data (e.g., an optimizer that aims to recommend fast routes relies upon travel-time predictions). Typically, learning the prediction model…

机器学习 · 计算机科学 2021-12-20 Chris Cameron , Jason Hartford , Taylor Lundy , Kevin Leyton-Brown

We consider a risk-averse stochastic capacity planning problem under uncertain demand in each period. Using a scenario tree representation of the uncertainty, we formulate a multistage stochastic integer program to adjust the capacity…

最优化与控制 · 数学 2024-11-05 Xian Yu , Siqian Shen

Model predictive control allows solving complex control tasks with control and state constraints. However, an optimal control problem must be solved in real-time to predict the future system behavior, which is hardly possible on embedded…

系统与控制 · 电气工程与系统科学 2023-04-13 Jan Olucak , Walter Fichter , Torbjørn Cunis

With the simultaneous rise of energy costs and demand for cloud computing, efficient control of data centers becomes crucial. In the data center control problem, one needs to plan at every time step how many servers to switch on or off in…

性能 · 计算机科学 2018-01-25 Paul Weng , Zeqi Qiu , John Costanzo , Xiaoqi Yin , Bruno Sinopoli

Model predictive control is an advanced control approach for multivariable systems with constraints, which is reliant on an accurate dynamic model. Most real dynamic models are however affected by uncertainties, which can lead to…

最优化与控制 · 数学 2021-03-10 E. Bradford , L. Imsland

This paper discusses a method enabling optimal control of nonlinear systems that are subject to parametric uncertainty. A stochastic optimal tracking problem is formulated that can be expressed in function of the first two stochastic…

最优化与控制 · 数学 2018-08-22 Tom Lefebvre , Frederik De Belie , Guillaume Crevecoeur

The performance of anytime algorithms can be improved by simultaneously solving several instances of algorithm-problem pairs. These pairs may include different instances of a problem (such as starting from a different initial state),…

人工智能 · 计算机科学 2011-06-28 L. Finkelstein , S. Markovitch , E. Rivlin

This paper deals with partially-observed optimal control problems for the state governed by stochastic differential equation with delay. We develop a stochastic maximum principle for this kind of optimal control problems using a variational…

最优化与控制 · 数学 2020-10-15 Shuaiqi Zhang , Xun Li , Jie Xiong

We consider the scheduling problem concerning N projects. Each project evolves as a multi-state Markov process. At each time instant, one project is scheduled to work, and some reward depending on the state of the chosen project is…

最优化与控制 · 数学 2016-02-02 Kehao Wang

The topics treated in this thesis are inherently two-fold. The first part considers the problem of a market maker optimally setting bid/ask quotes over a finite time horizon, to maximize her expected utility. The intensities of the orders…

最优化与控制 · 数学 2020-09-15 Diego Zabaljauregui

We study the problem of how to coordinate the actions of independent agents in a distributed system where message arrival times are unbounded, but are determined by an exponential probability distribution. Asynchronous protocols executed in…

分布式、并行与集群计算 · 计算机科学 2023-11-10 Ariel Livshits , Yoram Moses

The aim of this paper is to address optimality of stochastic control strategies via dynamic programming subject to total variation distance ambiguity on the conditional distribution of the controlled process. We formulate the stochastic…

最优化与控制 · 数学 2014-02-06 Ioannis Tzortzis , Charalambos D. Charalambous , Themistoklis Charalambous

Influence diagrams are widely employed to represent multi-stage decision problems in which each decision is a choice from a discrete set of alternatives, uncertain chance events have discrete outcomes, and prior decisions may influence the…

最优化与控制 · 数学 2022-01-20 Ahti Salo , Juho Andelmin , Fabricio Oliveira

The Stochastic Sequential Threshold Assignment Problem (SSTAP) addresses the optimal assignment of arriving tasks (jobs) to available resources (workers) to maximize a reward function which consists of indicator functions that incorporate…

最优化与控制 · 数学 2018-05-07 Aristomenis Tsopelakos

A well-studied randomized election algorithm proceeds as follows: In each round the remaining candidates each toss a coin and leave the competition if they obtain heads. Of interest is the number of rounds required and the number of…

概率论 · 数学 2016-04-12 Rudolf Grübel , Klaas Hagemann

Task and Motion Planning has made great progress in solving hard sequential manipulation problems. However, a gap between such planning formulations and control methods for reactive execution remains. In this paper we propose a model…

机器人学 · 计算机科学 2022-09-23 Marc Toussaint , Jason Harris , Jung-Su Ha , Danny Driess , Wolfgang Hönig

The considered optimal control problem of a stochastic power system, is to select the set of power supply vectors which infimizes the probability that the phase-angle differences of any power flow of the network, endangers the transient…

最优化与控制 · 数学 2024-01-31 Zhen Wang , Kaihua Xi , Aijie Cheng , Hai Xiang Lin , Jan H. van Schuppen