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We present a dynamic programming-based solution to a stochastic optimal control problem up to a hitting time for a discrete-time Markov control process. Firstly, we determine an optimal control policy to steer the process toward a compact…

最优化与控制 · 数学 2009-09-28 Debasish Chatterjee , Eugenio Cinquemani , Giorgos Chaloulos , John Lygeros

We consider a single large language model (LLM) server that serves a heterogeneous stream of queries belonging to $N$ distinct task types. Queries arrive according to a Poisson process, and each type occurs with a known prior probability.…

机器学习 · 计算机科学 2026-01-16 Emre Ozbas , Melih Bastopcu

The goal of this article is to investigate how human participants allocate their limited time to decisions with different properties. We report the results of two behavioral experiments. In each trial of the experiments, the participant…

神经元与认知 · 定量生物学 2016-07-20 Arash Khodadadi , Pegah Fakhari , Jerome R. Busemeyer

We consider an online resource allocation problem where multiple resources, each with an individual initial capacity, are available to serve random requests arriving sequentially over multiple discrete time periods. At each time period, one…

最优化与控制 · 数学 2020-12-21 Jiashuo Jiang , Jiawei Zhang

Real-time video demands quality-of-service (QoS) guarantees such as delay bounds for end-user satisfaction. Furthermore, the tolerable delay varies depending on the use case such as live streaming or two-way video conferencing. Due to the…

信息论 · 计算机科学 2016-11-18 Amin Abdel Khalek , Constantine Caramanis , Robert W. Heath

This paper presents a distributed resource selection mechanism for diverse cloud-edge environments, enabling dynamic and context-aware allocation of resources to meet the demands of complex distributed applications. By distributing the…

分布式、并行与集群计算 · 计算机科学 2025-10-10 Quentin Renau , Amjad Ullah , Emma Hart

We introduce a general model of resource allocation with customer choice. In this model, there are multiple resources that are available over a finite horizon. The resources are non-replenishable and perishable. Each unit of a resource can…

最优化与控制 · 数学 2015-11-06 Guillermo Gallego , Anran Li , Van-Anh Truong , Xinshang Wang

A multi-class single-server queueing model with finite buffers, in which scheduling and admission of customers are subject to control, is studied in the moderate deviation heavy traffic regime. A risk-sensitive cost set over a finite time…

概率论 · 数学 2018-05-02 Rami Atar , Asaf Cohen

The maximization of submodular functions is an NP-Hard problem for certain subclasses of functions, for which a simple greedy algorithm has been shown to guarantee a solution whose quality is within 1/2 of the optimal. When this algorithm…

数据结构与算法 · 计算机科学 2019-01-11 David Grimsman , Mohd. Shabbir Ali , João P. Hespanha , Jason R. Marden

While sequential task assignment for a single agent has been widely studied, such problems in a multi-agent setting, where the agents have heterogeneous task preferences or capabilities, remain less well-characterized. We study a…

多智能体系统 · 计算机科学 2025-10-21 Qinshuang Wei , Vaibhav Srivastava , Vijay Gupta

We consider the problem of rate and power allocation in a multiple-access channel. Our objective is to obtain rate and power allocation policies that maximize a general concave utility function of average transmission rates on the…

信息论 · 计算机科学 2016-11-15 Ali ParandehGheibi , Atilla Eryilmaz , Asuman Ozdaglar , Muriel Medard

We investigate the optimal pricing strategy in a service-providing framework, where customers can leave the system prior to service completion. In this setting, a price is quoted to an incoming customer based on the current number of…

最优化与控制 · 数学 2026-05-05 Jieqi Di , Sigrún Andradóttir , Hayriye Ayhan

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

Deciding the best future execution time is a critical task in many business activities while evolving time series forecasting, and optimal timing strategy provides such a solution, which is driven by observed data. This solution has plenty…

人工智能 · 计算机科学 2023-10-10 Chen Pan , Fan Zhou , Xuanwei Hu , Xinxin Zhu , Wenxin Ning , Zi Zhuang , Siqiao Xue , James Zhang , Yunhua Hu

We consider the problem of minimizing the total cost to run a sequence of $n$ tasks in the given order by $k$ agents under the positional cost model. The cost to run a task not only depends on the intrinsic cost of the task itself, but also…

数据结构与算法 · 计算机科学 2014-04-23 Bojun Huang

We consider resource sharing networks of the form introduced in the work of Massouli\'{e} and Roberts(2000) as models for Internet flows. The goal is to study the open problem, formulated in Harrison et al. (2014), of constructing simple…

概率论 · 数学 2017-10-26 Amarjit Budhiraja , Dane Johnson

The deployment of machine learning in high-stakes services relies on ``human-in-the-loop'' architectures to mitigate algorithmic uncertainty. However, existing static policies fail to address a fundamental tension: algorithms suffer from…

最优化与控制 · 数学 2026-02-02 Ziyao Wang , Svetlozar T Rachev

Consider a distribution of citizens in an urban area in which some services (supermarkets, post offices...) are present. Each citizen, in order to use a service, spends an amount of time which is due both to the travel time to the service…

最优化与控制 · 数学 2008-11-13 Gianluca Crippa , Chloé Jimenez , Aldo Pratelli

One typical use case of large-scale distributed computing in data centers is to decompose a computation job into many independent tasks and run them in parallel on different machines, sometimes known as the "embarrassingly parallel"…

分布式、并行与集群计算 · 计算机科学 2014-04-07 Da Wang , Gauri Joshi , Gregory Wornell

This paper presents a new technique to control highly redundant mechanical systems, such as humanoid robots. We take inspiration from two approaches. Prioritized control is a widespread multi-task technique in robotics and animation: tasks…

机器人学 · 计算机科学 2014-10-17 Andrea Del Prete , Francesco Romano , Lorenzo Natale , Giorgio Metta , Giulio Sandini , Francesco Nori