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The paper addresses two variants of the stochastic shortest path problem ('optimize the accumulated weight until reaching a goal state') in Markov decision processes (MDPs) with integer weights. The first variant optimizes partial expected…

计算机科学中的逻辑 · 计算机科学 2019-05-01 Jakob Piribauer , Christel Baier

This paper studies average-cost Markov decision processes with semi-uniform Feller transition probabilities. This class of MDPs was recently introduced by the authors to study MDPs with incomplete information. This paper studies the…

最优化与控制 · 数学 2021-09-30 Eugene A. Feinberg , Pavlo O. Kasyanov , Michael Z. Zgurovsky

We propose a new Markov Decision Process (MDP) model for ad auctions to capture the user response to the quality of ads, with the objective of maximizing the long-term discounted revenue. By incorporating user response, our model takes into…

计算机科学与博弈论 · 计算机科学 2024-05-07 Yang Cai , Zhe Feng , Christopher Liaw , Aranyak Mehta , Grigoris Velegkas

Online planning for partially observable Markov decision processes (POMDPs) provides efficient techniques for robot decision-making under uncertainty. However, existing methods fall short of preventing safety violations in dynamic…

机器人学 · 计算机科学 2024-09-10 Shili Sheng , Pian Yu , David Parker , Marta Kwiatkowska , Lu Feng

Intra-day economic dispatch of an integrated microgrid is a fundamental requirement to integrate distributed generators. The dynamic energy flows in cogeneration units present challenges to the energy management of the microgrid. In this…

系统与控制 · 电气工程与系统科学 2022-11-29 Zhiyi Lin , Chunyue Song , Jun Zhao , Chao Yang , Huan Yin

We consider a model where an agent has a repeated decision to make and wishes to maximize their total payoff. Payoffs are influenced by an action taken by the agent, but also an unknown state of the world that evolves over time. Before…

计算机科学与博弈论 · 计算机科学 2021-01-20 Nicole Immorlica , Ian Kash , Brendan Lucier

Premier cloud service providers (CSPs) offer two types of purchase options, namely on-demand and spot instances, with time-varying features in availability and price. Users like startups have to operate on a limited budget and similarly…

性能 · 计算机科学 2021-06-04 Xiaohu Wu , Han Yu , Giuliano Casale , Guanyu Gao

This paper is devoted to studying constrained continuous-time Markov decision processes (MDPs) in the class of randomized policies depending on state histories. The transition rates may be unbounded, the reward and costs are admitted to be…

概率论 · 数学 2012-01-04 Xianping Guo , Xinyuan Song

This paper presents a novel non-stationary dynamic pricing algorithm design, where pricing agents face incomplete demand information and market environment shifts. The agents run price experiments to learn about each product's demand curve…

机器学习 · 统计学 2022-09-09 Po-Yi Liu , Chi-Hua Wang , Henghsiu Tsai

A fundamental (and largely open) challenge in sequential decision-making is dealing with non-stationary environments, where exogenous environmental conditions change over time. Such problems are traditionally modeled as non-stationary…

人工智能 · 计算机科学 2024-01-23 Baiting Luo , Yunuo Zhang , Abhishek Dubey , Ayan Mukhopadhyay

Markov Decision Processes (MDPs) have been used to formulate many decision-making problems in science and engineering. The objective is to synthesize the best decision (action selection) policies to maximize expected rewards (minimize…

最优化与控制 · 数学 2015-07-08 Mahmoud El Chamie , Behcet Acikmese

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

In robust Markov decision processes (MDPs), the uncertainty in the transition kernel is addressed by finding a policy that optimizes the worst-case performance over an uncertainty set of MDPs. While much of the literature has focused on…

机器学习 · 计算机科学 2023-03-02 Yue Wang , Alvaro Velasquez , George Atia , Ashley Prater-Bennette , Shaofeng Zou

A Budgeted Markov Decision Process (BMDP) is an extension of a Markov Decision Process to critical applications requiring safety constraints. It relies on a notion of risk implemented in the shape of a cost signal constrained to lie below…

In this paper, we study an investor's optimal entry and exit decisions in a liquid staking protocol (LSP) and an automated market maker (AMM), primarily from the standpoint of the investor. Our analysis focuses on two key investor actions:…

数理金融 · 定量金融 2025-12-10 Ruofei Ma , Zhebiao Cai , Wenpin Tang , David Yao

In this paper, we consider multi-dimensional maximal cost-bounded reachability probability over continuous-time Markov decision processes (CTMDPs). Our major contributions are as follows. Firstly, we derive an integral characterization…

系统与控制 · 计算机科学 2014-01-20 Hongfei Fu

Markov decision process (MDP) is a decision making framework where a decision maker is interested in maximizing the expected discounted value of a stream of rewards received at future stages at various states which are visited according to…

最优化与控制 · 数学 2022-12-19 Hoang Nam Nguyen , Abdel Lisser , Vikas Vikram Singh

In this paper, we study a courier dispatching problem (CDP) raised from an online pickup-service platform of Alibaba. The CDP aims to assign a set of couriers to serve pickup requests with stochastic spatial and temporal arrival rate among…

人工智能 · 计算机科学 2019-03-08 Yujie Chen , Yu Qian , Yichen Yao , Zili Wu , Rongqi Li , Yinzhi Zhou , Haoyuan Hu , Yinghui Xu

We study the sequential decision-making problem of allocating a limited resource to agents that reveal their stochastic demands on arrival over a finite horizon. Our goal is to design fair allocation algorithms that exhaust the available…

机器学习 · 计算机科学 2023-06-21 Parisa Hassanzadeh , Eleonora Kreacic , Sihan Zeng , Yuchen Xiao , Sumitra Ganesh

We cast episodic Markov decision process (MDP) planning as Bayesian inference over policies. A policy is treated as the latent variable and is assigned an unnormalized probability of optimality that is monotone in its expected return,…

机器学习 · 计算机科学 2026-04-14 David Tolpin