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Approximate dynamic programming is a popular method for solving large Markov decision processes. This paper describes a new class of approximate dynamic programming (ADP) methods- distributionally robust ADP-that address the curse of…

机器学习 · 统计学 2012-05-22 Marek Petrik

In this paper, we give a new approximate dynamic programming (ADP) method to solve large-scale Markov decision programming (MDP) problem. In comparison with many classic ADP methods which have large number of constraints, we formulate an…

最优化与控制 · 数学 2025-07-15 Di Zhang

We study the Patient Assignment Scheduling (PAS) problem in a random environment that arises in the management of patient flow in the hospital systems, due to the stochastic nature of the arrivals as well as the Length of Stay distribution.…

In many service systems, especially those in healthcare, customer waiting times can result in increased service requirements. Such service slowdowns can significantly impact system performance. Therefore, it is important to properly account…

最优化与控制 · 数学 2025-01-22 Jing Dong , Berk Görgülü , Vahid Sarhangian

This paper studies a finite-horizon Markov decision problem with information-theoretic constraints, where the goal is to minimize directed information from the controlled source process to the control process, subject to stage-wise cost…

系统与控制 · 电气工程与系统科学 2025-09-04 Zixuan He , Charalambos D. Charalambous , Photios A. Stavrou

Markov Decision Processes (MDP) is an useful framework to cast optimal sequential decision making problems. Given any MDP the aim is to find the optimal action selection mechanism i.e., the optimal policy. Typically, the optimal policy…

系统与控制 · 计算机科学 2014-03-18 Chandrashekar Lakshminarayanan , Shalabh Bhatnagar

We study a stochastic perishable inventory control problem with endogenous (decision-dependent) uncertainty in shelf-life of units. Our primary motivation is determining ordering policies for blood platelets. Determining optimal ordering…

系统与控制 · 电气工程与系统科学 2025-02-11 Hossein Abouee-Mehrizi , Mahdi Mirjalili , Vahid Sarhangian

Many sequential decision problems can be formulated as Markov Decision Processes (MDPs) where the optimal value function (or cost-to-go function) can be shown to satisfy a monotone structure in some or all of its dimensions. When the state…

最优化与控制 · 数学 2015-09-03 Daniel R. Jiang , Warren B. Powell

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

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

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

We consider large-scale Markov decision processes (MDPs) with a risk measure of variability in cost, under the risk-aware MDPs paradigm. Previous studies showed that risk-aware MDPs, based on a minimax approach to handling risk, can be…

系统与控制 · 计算机科学 2017-05-17 Pengqian Yu , William B. Haskell , Huan Xu

Equipping approximate dynamic programming (ADP) with inputconstraints has a tremendous significance. This enables ADP to be applied tothe systems with actuator limitations, which is quite common for dynamicalsystems. In a conventional…

最优化与控制 · 数学 2018-05-24 Xuefeng Bao , Zhi-Hong Mao , Nitin Sharma

We consider a dynamic programming (DP) approach to approximately solving an infinite-horizon constrained Markov decision process (CMDP) problem with a fixed initial-state for the expected total discounted-reward criterion with a…

最优化与控制 · 数学 2023-08-08 Hyeong Soo Chang

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

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

Quick response times are paramount for minimizing downtime in spare parts networks for capital goods, such as medical and manufacturing equipment. To guarantee that the maintenance is performed in a timely fashion, strategic management of…

最优化与控制 · 数学 2019-10-04 Dmitrii Usanov , Anna Pechina , Peter van de Ven , Rob van der Mei

In this work, we consider a cooperative multi-agent Markov decision process (MDP) involving m agents. At each decision epoch, all the m agents independently select actions in order to maximize a common long-term objective. In the policy…

机器学习 · 计算机科学 2024-05-01 Lakshmi Mandal , Chandrashekar Lakshminarayanan , Shalabh Bhatnagar

Markov decision processes (MDPs) with large number of states are of high practical interest. However, conventional algorithms to solve MDP are computationally infeasible in this scenario. Approximate dynamic programming (ADP) methods tackle…

系统与控制 · 计算机科学 2014-11-19 Chandrashekar Lakshminarayanan , Shalabh Bhatnagar

In this paper, we consider a finite-horizon Markov decision process (MDP) for which the objective at each stage is to minimize a quantile-based risk measure (QBRM) of the sequence of future costs; we call the overall objective a dynamic…

最优化与控制 · 数学 2017-05-10 Daniel R. Jiang , Warren B. Powell
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