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This paper studies the optimal control problem for discrete-time nonlinear systems and an approximate dynamic programming-based Model Predictive Control (MPC) scheme is proposed for minimizing a quadratic performance measure. In the…

系统与控制 · 电气工程与系统科学 2023-12-12 Keerthi Chacko , Midhun T. Augustine , S. Janardhanan , Deepak U. Patil , I. N. Kar

In the optimization of dynamic systems, the variables typically have constraints. Such problems can be modeled as a Constrained Markov Decision Process (CMDP). This paper considers the peak Constrained Markov Decision Process (PCMDP), where…

最优化与控制 · 数学 2022-06-15 Qinbo Bai , Vaneet Aggarwal , Ather Gattami

The deployment of autonomous systems in safety-critical environments requires control policies that guarantee satisfaction of complex control specifications. These systems are commonly modeled as nonlinear discrete-time stochastic systems.…

系统与控制 · 电气工程与系统科学 2026-04-07 Alessandro Riccardi , Thom Badings , Luca Laurenti , Alessandro Abate , Bart De Schutter

In this article, we investigate a dynamic control problem of a production-inventory system. Here, demands arrive at the production unit according to a Poisson process and are processed in an FCFS manner. The processing time of the…

最优化与控制 · 数学 2024-08-06 Subrata Golui , Chandan Pal , Manikandan R. , Abhay Sobhanan

Safety in stochastic control systems, which are subject to random noise with a known probability distribution, aims to compute policies that satisfy predefined operational constraints with high confidence throughout the uncertain evolution…

系统与控制 · 电气工程与系统科学 2025-11-12 Saber Omidi , Marek Petrik , Se Young Yoon , Momotaz Begum

In classical Markov Decision Processes (MDPs), action costs and transition probabilities are assumed to be known, although an accurate estimation of these parameters is often not possible in practice. This study addresses MDPs under cost…

最优化与控制 · 数学 2019-06-24 Merve Merakli , Simge Kucukyavuz

The (R, s, S) is a stochastic inventory control policy widely used by practitioners. In an inventory system managed according to this policy, the inventory is reviewed at instant R; if the observed inventory position is lower than the…

最优化与控制 · 数学 2023-09-26 Andrea Visentin , Steven Prestwich , Roberto Rossi , S. Armagan Tarim

Despite the rapid growth of the home care industry, research on the scheduling and routing of home care visits in the presence of uncertainty is still limited. This paper investigates a dynamic version of this problem in which the number of…

最优化与控制 · 数学 2024-03-19 Danial Khorasanian , Jonathan Patrick , Antoine Sauré

This paper tackles the growing issue of excessive data transmission in networks. With increasing traffic, backhaul links and core networks are under significant traffic, leading to the investigation of caching solutions at edge routers.…

网络与互联网体系结构 · 计算机科学 2024-10-31 Farnaz Niknia , Ping Wang , Zixu Wang , Aakash Agarwal , Adib S. Rezaei

In this paper, we study planning in stochastic systems, modeled as Markov decision processes (MDPs), with preferences over temporally extended goals. Prior work on temporal planning with preferences assumes that the user preferences form a…

机器人学 · 计算机科学 2023-03-09 Hazhar Rahmani , Abhishek N. Kulkarni , Jie Fu

We study inventory control policies for pharmaceutical supply chains, addressing challenges such as perishability, yield uncertainty, and non-stationary demand, combined with batching constraints, lead times, and lost sales. Collaborating…

人工智能 · 计算机科学 2025-01-22 Francesco Stranieri , Chaaben Kouki , Willem van Jaarsveld , Fabio Stella

Approximate linear programming (ALP) is an efficient approach to solving large factored Markov decision processes (MDPs). The main idea of the method is to approximate the optimal value function by a set of basis functions and optimize…

人工智能 · 计算机科学 2012-06-18 Branislav Kveton , Milos Hauskrecht

As pressure on the healthcare system increases, patients that require elective surgery experience longer access times to pre- and post-operative appointments and surgery. Hospitals can control their waiting lists by allocating timeslots to…

最优化与控制 · 数学 2024-10-15 Y. M. van der Vlugt , J. T. van Essen , R. F. M. Vromans , M. Carlier

Recent work on approximate linear programming (ALP) techniques for first-order Markov Decision Processes (FOMDPs) represents the value function linearly w.r.t. a set of first-order basis functions and uses linear programming techniques to…

人工智能 · 计算机科学 2012-07-02 Scott Sanner , Craig Boutilier

Novel advanced policy gradient (APG) methods, such as Trust Region policy optimization and Proximal policy optimization (PPO), have become the dominant reinforcement learning algorithms because of their ease of implementation and good…

最优化与控制 · 数学 2022-03-22 J. G. Dai , Mark Gluzman

We study average-reward Markov decision processes (AMDPs) and develop novel first-order methods with strong theoretical guarantees for both policy optimization and policy evaluation. Compared with intensive research efforts in finite sample…

机器学习 · 计算机科学 2024-10-01 Tianjiao Li , Feiyang Wu , Guanghui Lan

We introduce a QPLEX Decision Process (QDP) as a model for dynamic control of queueing systems with non-stationary arrivals, general service distributions, and service-level chance constraints. QDPs integrate QPLEX, a computational modeling…

最优化与控制 · 数学 2026-05-19 Antonius B. Dieker , Steven T. Hackman , Zitong Wang , Yunhao Yan

Uncertain partially observable Markov decision processes (uPOMDPs) allow the probabilistic transition and observation functions of standard POMDPs to belong to a so-called uncertainty set. Such uncertainty, referred to as epistemic…

人工智能 · 计算机科学 2021-11-02 Murat Cubuktepe , Nils Jansen , Sebastian Junges , Ahmadreza Marandi , Marnix Suilen , Ufuk Topcu

Active classification, i.e., the sequential decision-making process aimed at data acquisition for classification purposes, arises naturally in many applications, including medical diagnosis, intrusion detection, and object tracking. In this…

系统与控制 · 计算机科学 2018-10-02 Bo Wu , Mohamadreza Ahmadi , Suda Bharadwaj , Ufuk Topcu

Mixed observable Markov decision processes (MOMDPs) are a modeling framework for autonomous systems described by both fully and partially observable states. In this work, we study the problem of synthesizing a control policy for MOMDPs that…

系统与控制 · 电气工程与系统科学 2021-03-03 Ugo Rosolia , Mohamadreza Ahmadi , Richard M. Murray , Aaron D. Ames