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This paper studies the infinite-horizon adaptive optimal control of continuous-time linear periodic (CTLP) systems. A novel value iteration (VI) based off-policy ADP algorithm is proposed for a general class of CTLP systems, so that…

系统与控制 · 电气工程与系统科学 2024-12-20 Bo Pang , Zhong-Ping Jiang

The goal of a traditional Markov decision process (MDP) is to maximize expected cumulative reward over a defined horizon (possibly infinite). In many applications, however, a decision maker may be interested in optimizing a specific…

人工智能 · 计算机科学 2025-10-16 Xiaocheng Li , Huaiyang Zhong , Margaret L. Brandeau

We investigate the problems of model estimation and reward-free learning in episodic Block MDPs. In these MDPs, the decision maker has access to rich observations or contexts generated from a small number of latent states. We are first…

机器学习 · 计算机科学 2023-02-27 Yassir Jedra , Junghyun Lee , Alexandre Proutière , Se-Young Yun

We study an approximation method for partially observed Markov decision processes (POMDPs) with continuous spaces. Belief MDP reduction, which has been the standard approach to study POMDPs requires rigorous approximation methods for…

最优化与控制 · 数学 2025-01-20 Ali Devran Kara , Erhan Bayraktar , Serdar Yuksel

We consider the infinite-horizon discounted optimal control problem formalized by Markov Decision Processes. We focus on several approximate variations of the Policy Iteration algorithm: Approximate Policy Iteration, Conservative Policy…

人工智能 · 计算机科学 2014-05-13 Bruno Scherrer

In this paper, we develop a method to automatically generate a control policy for a dynamical system modeled as a Markov Decision Process (MDP). The control specification is given as a Linear Temporal Logic (LTL) formula over a set of…

机器人学 · 计算机科学 2011-03-24 Xu Chu Ding , Stephen L. Smith , Calin Belta , Daniela Rus

Markov decision processes (MDPs) are used to model stochastic systems in many applications. Several efficient algorithms to compute optimal policies have been studied in the literature, including value iteration (VI) and policy iteration.…

最优化与控制 · 数学 2021-08-30 Vineet Goyal , Julien Grand-Clement

We consider a periodic-review, fixed-lifetime perishable inventory control problem where demand is a general stochastic process. The optimal solution for this problem is intractable due to "curse of dimensionality". In this paper, we first…

最优化与控制 · 数学 2016-05-10 Can Zhang , Turgay Ayer , Chelsea C. White

This study addresses the multi-item multi-period order allocation problem under all-unit quantity discounts (AUQD) and blending ratios. A manufacturer makes a single product that requires mixing/assembling multiple ingredients/components…

最优化与控制 · 数学 2025-11-04 Fuhad Ahmed Opu , Moddassir Khan Nayeem , Hamid Najafzad , Omar Abbaas

Preferences play a key role in determining what goals/constraints to satisfy when not all constraints can be satisfied simultaneously. In this paper, we study how to synthesize preference satisfying plans in stochastic systems, modeled as…

人工智能 · 计算机科学 2022-10-06 Abhishek N. Kulkarni , Jie Fu

We consider sensor scheduling as the optimal observability problem for partially observable Markov decision processes (POMDP). This model fits to the cases where a Markov process is observed by a single sensor which needs to be dynamically…

信息论 · 计算机科学 2016-11-15 Mohammad Rezaeian

We consider infinite-horizon Markov Decision Processes where parameters, such as transition probabilities, are unknown and estimated from data. The popular distributionally robust approach to addressing the parameter uncertainty can…

系统与控制 · 电气工程与系统科学 2024-12-23 Yifan Lin , Enlu Zhou

We present the first finite time global convergence analysis of policy gradient in the context of infinite horizon average reward Markov decision processes (MDPs). Specifically, we focus on ergodic tabular MDPs with finite state and action…

机器学习 · 计算机科学 2024-03-12 Navdeep Kumar , Yashaswini Murthy , Itai Shufaro , Kfir Y. Levy , R. Srikant , Shie Mannor

In this paper, we consider a modified version of the control problem in a model free Markov decision process (MDP) setting with large state and action spaces. The control problem most commonly addressed in the contemporary literature is to…

人工智能 · 计算机科学 2018-02-01 Ajin George Joseph , Shalabh Bhatnagar

Efforts to reduce platelet wastage in hospital blood banks have focused on ordering policies, but the predominant practice of issuing the oldest unit first may not be optimal when some units are returned unused. We propose a novel, machine…

机器学习 · 计算机科学 2024-11-25 Joseph Farrington , Samah Alimam , Martin Utley , Kezhi Li , Wai Keong Wong

Because failures in distribution systems caused by extreme weather events directly result in consumers' outages, this paper proposes a state-based decision-making model with the objective of mitigating loss of load to improve the…

最优化与控制 · 数学 2019-04-02 Chong Wang , Ping Ju , Shunbo Lei , Zhaoyu Wang , Yunhe Hou

Battery-less Internet of Things (IoT) devices rely on ambient energy harvesting and therefore require scheduling policies that jointly account for energy intermittency and hard timing constraints. This challenge is especially acute in…

系统与控制 · 电气工程与系统科学 2026-05-20 Shahab Jahanbazi , Mateen Ashraf , Onel L. A. López

This paper addresses the problem of planning under uncertainty in large Markov Decision Processes (MDPs). Factored MDPs represent a complex state space using state variables and the transition model using a dynamic Bayesian network. This…

人工智能 · 计算机科学 2011-06-10 C. Guestrin , D. Koller , R. Parr , S. Venkataraman

We study the computational complexity of the infinite-horizon discounted-reward Markov Decision Problem (MDP) with a finite state space $|\mathcal{S}|$ and a finite action space $|\mathcal{A}|$. We show that any randomized algorithm needs a…

计算复杂性 · 计算机科学 2017-05-24 Yichen Chen , Mengdi Wang

We study the policy testing problem in discounted Markov decision processes (MDPs) in the fixed-confidence setting under a generative model with static sampling. The goal is to decide whether the value of a given policy exceeds a specified…

机器学习 · 统计学 2026-04-21 Kaito Ariu , Po-An Wang , Alexandre Proutiere , Kenshi Abe