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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

The design of an automated vehicle controller can be generally formulated into an optimal control problem. This paper proposes a continuous-time finite-horizon approximate dynamicprogramming (ADP) method, which can synthesis off-line…

系统与控制 · 电气工程与系统科学 2020-07-07 Ziyu Lin , Jingliang Duan , Shengbo Eben Li , Haitong Ma , Yuming Yin

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

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 present an alternative view for the study of optimal control of partially observed Markov Decision Processes (POMDPs). We first revisit the traditional (and by now standard) separated-design method of reducing the problem to fully…

最优化与控制 · 数学 2024-12-20 Serdar Yüksel

We propose and solve a stochastic dynamic programming (DP) problem addressing the optimal provision of regulation service reserves (RSR) by controlling dynamic demand preferences in smart buildings. A major contribution over past dynamic…

系统与控制 · 计算机科学 2017-07-26 Bowen Zhang , Michael C. Caramanis , John Baillieul

In response to the increasing deployment of battery storage systems for cost reduction and grid stress mitigation, this study presents the development of a new real-time Markov decision process model to efficiently schedule battery systems…

系统与控制 · 电气工程与系统科学 2024-09-17 Hussein Sharadga , Ahmad Dawahdeh , Golbon Zakeri , Abdullah Hayajneh , Geoff Pritchard

Human preferences are not always represented via complete linear orders: It is natural to employ partially-ordered preferences for expressing incomparable outcomes. In this work, we consider decision-making and probabilistic planning in…

机器人学 · 计算机科学 2024-10-21 Hazhar Rahmani , Abhishek N. Kulkarni , Jie Fu

We consider approximate dynamic programming for the infinite-horizon stationary $\gamma$-discounted optimal control problem formalized by Markov Decision Processes. While in the exact case it is known that there always exists an optimal…

最优化与控制 · 数学 2013-04-23 Boris Lesner , Bruno Scherrer

We consider Assemble-to-Order (ATO) inventory systems with a general Bill of Materials and general deterministic lead times. Unsatisfied demands are always backlogged. We apply a four-step asymptotic framework to develop inventory policies…

最优化与控制 · 数学 2021-08-16 Martin I. Reiman , Haohua Wan , Qiong Wang

We consider a stochastic inventory control problem under censored demands, lost sales, and positive lead times. This is a fundamental problem in inventory management, with significant literature establishing near-optimality of a simple…

机器学习 · 计算机科学 2019-05-14 Shipra Agrawal , Randy Jia

We consider the problem of load balancing in parallel queues by transferring customers between them at discrete points in time. Holding costs accrue as customers wait in the queue, while transfer decisions incur both fixed (setup) costs and…

最优化与控制 · 数学 2025-08-13 Timothy C. Y. Chan , Jangwon Park , Vahid Sarhangian

This paper studies the approximation of optimal control policies by quantized (discretized) policies for a very general class of Markov decision processes (MDPs). The problem is motivated by applications in networked control systems,…

最优化与控制 · 数学 2015-05-14 Naci Saldi , Serdar Yüksel , Tamás Linder

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

We consider a multi-source relaying system where independent sources randomly generate status update packets which are sent to the destination with the aid of a relay through unreliable links. We develop transmission scheduling policies to…

信号处理 · 电气工程与系统科学 2023-01-10 Abolfazl Zakeri , Mohammad Moltafet , Markus Leinonen , Marian Codreanu

We propose two scheduling algorithms that seek to optimize the quality of scalably coded videos that have been stored at a video server before transmission.} The first scheduling algorithm is derived from a Markov Decision Process (MDP)…

多媒体 · 计算机科学 2013-11-26 Chao Chen , Robert W. Heath , Alan C. Bovik , Gustavo de Veciana

With the rapid growth in renewable energy and battery storage technologies, there exists significant opportunity to improve energy efficiency and reduce costs through optimization. However, optimization algorithms must take into account the…

最优化与控制 · 数学 2019-02-19 Chaitanya Poolla , Abraham K. Ishihara , Rodolfo Milito

This paper proposes a general incremental policy iteration adaptive dynamic programming (ADP) algorithm for model-free robust optimal control of unknown nonlinear systems. The approach integrates recursive least squares estimation with…

最优化与控制 · 数学 2025-09-01 Qingkai Meng , Fenglan Wang , Lin Zhao

Suppose you are a fund manager with \$100 million to deploy and two years to invest it. A deal comes across your desk that looks appealing but costs \$50 million -- half of your available capital. Should you take it, or wait for something…

投资组合管理 · 定量金融 2025-08-15 Kunal Menda , Raphael S Benarrosh

This study is aimed at answering the famous question of how the approximation errors at each iteration of Approximate Dynamic Programming (ADP) affect the quality of the final results considering the fact that errors at each iteration…

系统与控制 · 计算机科学 2015-05-18 Ali Heydari