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We propose a comprehensive framework for policy gradient methods tailored to continuous time reinforcement learning. This is based on the connection between stochastic control problems and randomised problems, enabling applications across…

最优化与控制 · 数学 2024-05-01 Robert Denkert , Huyên Pham , Xavier Warin

We study systems of Brownian particles on the real line, which interact by splitting the local times of collisions among themselves in an asymmetric manner. We prove the strong existence and uniqueness of such processes and identify them…

概率论 · 数学 2012-10-02 Ioannis Karatzas , Soumik Pal , Mykhaylo Shkolnikov

When particle flux is regulated by multiple factors such as particle supply and varying transport rate, it is important to identify the respective dominant regimes. We extend the well-studied totally asymmetric simple exclusion model to…

统计力学 · 物理学 2013-10-30 L. Jonathan Cook , J. J. Dong , Alexander LaFleur

We consider discrete-time dynamics, for cascading failure in DC networks, whose map is composition of failure rule with control actions. Supply-demand at the nodes is monotonically non-increasing under admissible control. Under the failure…

系统与控制 · 计算机科学 2018-03-21 Qin Ba , Ketan Savla

We consider the problem of computing optimal linear control policies for linear systems in finite-horizon. The states and the inputs are required to remain inside pre-specified safety sets at all times despite unknown disturbances. In this…

系统与控制 · 计算机科学 2019-12-17 Luca Furieri , Maryam Kamgarpour

Traditional network interdiction refers to the problem of an interdictor trying to reduce the throughput of network users by removing network edges. In this paper, we propose a new paradigm for network interdiction that models scenarios,…

网络与互联网体系结构 · 计算机科学 2019-01-10 Xinzhe Fu , Eytan Modiano

In a balancing network each processor has an initial collection of unit-size jobs (tokens) and in each round, pairs of processors connected by balancers split their load as evenly as possible. An excess token (if any) is placed according to…

数据结构与算法 · 计算机科学 2010-06-09 Tobias Friedrich , Thomas Sauerwald , Dan Vilenchik

Under a Bayesian framework, we formulate the fully sequential sampling and selection decision in statistical ranking and selection as a stochastic control problem, and derive the associated Bellman equation. Using value function…

机器学习 · 计算机科学 2017-10-10 Yijie Peng , Edwin K. P. Chong , Chun-Hung Chen , Michael C. Fu

Recent work in decentralized, schedule-driven traffic control has demonstrated the ability to significantly improve traffic flow efficiency in complex urban road networks. However, in situations where vehicle volumes increase to the point…

人工智能 · 计算机科学 2019-03-12 Hsu-Chieh Hu , Stephen F. Smith

We study distributed load balancing in bipartite queueing systems where frontends route jobs to heterogeneous backends with workload-dependent service rates. The system's connectivity -- governed by compatibility constraints such as data…

分布式、并行与集群计算 · 计算机科学 2025-07-25 Wenxin Zhang , Santiago R. Balseiro , Robert Kleinberg , Vahab Mirrokni , Balasubramanian Sivan , Bartek Wydrowski

We consider the problem of scheduling a queueing system in which many statistically identical servers cater to several classes of impatient customers. Service times and impatience clocks are exponential while arrival processes are renewal.…

概率论 · 数学 2007-05-23 Rami Atar , Avi Mandelbaum , Martin I. Reiman

Service platforms must determine rules for matching heterogeneous demand (customers) and supply (workers) that arrive randomly over time and may be lost if forced to wait too long for a match. Our objective is to maximize the cumulative…

最优化与控制 · 数学 2023-12-19 Angelos Aveklouris , Levi DeValve , Maximiliano Stock , Amy R. Ward

We consider a dynamic control problem associated with a generalized Brownian network, the objective being to minimize expected discounted cost over an infinite planning horizon. In this Brownian control problem (BCP), both the system…

概率论 · 数学 2007-05-23 J. M. Harrison , R. J. Williams

In this work, we consider the case where a source with bursty traffic can adjust the transmission duration in order to increase the reliability. The source is equipped with a queue in order to store the arriving packets. We model the system…

信息论 · 计算机科学 2018-09-11 Nikolaos Pappas

We present an exact solution for one-dimensional overdamped dynamics near a hard wall, allowing us to connect steady-state distributions under confinement with the extreme value statistics of unconfined stochastic processes. This mapping…

统计力学 · 物理学 2024-11-05 Thibaut Arnoulx de Pirey

We consider the problem of routing packets across a multi-hop network consisting of multiple sources of traffic and wireless links while ensuring bounded expected delay. Each packet transmission can be overheard by a random subset of…

网络与互联网体系结构 · 计算机科学 2012-03-07 Abhijeet Bhorkar , Mohammad Naghshwar , Tara Javidi

We consider the line planning problem in public transportation, under a robustness perspective. We present a mechanism for robust line planning in the case of multiple line pools, when the line operators have a different utility function…

计算机科学与博弈论 · 计算机科学 2015-05-27 Apostolos Bessas , Spyros Kontogiannis , Christos Zaroliagis

Fastest arrival events, where the first among many diffusing particles reaches a target, are central in triggering signal initiation in molecular stochastic systems. Classical approaches to simulate such events rely on full trajectory…

概率论 · 数学 2026-05-26 Emmanuel Akame Mfoumou , David Holcman

In this work we provide a computationally tractable procedure for designing affine control policies, applied to constrained, discrete-time, partially observable, linear systems subject to set bounded disturbances, stochastic noise and…

最优化与控制 · 数学 2018-11-27 Georgios Kotsalis , Guanghui Lan

We introduce a class of distributed control policies for networks of discrete-time linear systems with polytopic additive disturbances. The objective is to restrict the network-level state and controls to user-specified polyhedral sets for…

系统与控制 · 计算机科学 2017-09-29 Sadra Sadraddini , Calin Belta