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The paper deals with an optimal control problem in a dynamical system described by a linear differential equation with the Caputo fractional derivative. The goal of control is to minimize a Bolza-type cost functional, which consists of two…

最优化与控制 · 数学 2019-09-25 Mikhail Gomoyunov

We study computer systems with transactions executed on a set of shared objects. Transactions arrive continually subjects to constrains that are framed as an adversarial model and impose limits on the average rate of transaction generation…

分布式、并行与集群计算 · 计算机科学 2022-08-16 Costas Busch , Bogdan S. Chlebus , Dariusz R. Kowalski , Pavan Poudel

In the Constrained Fault-Tolerant Resource Allocation (FTRA) problem, we are given a set of sites containing facilities as resources, and a set of clients accessing these resources. Specifically, each site i is allowed to open at most R_i…

数据结构与算法 · 计算机科学 2015-03-20 Kewen Liao , Hong Shen , Longkun Guo

We consider the problem of assigning or allocating resources to a set of jobs. We consider the case when the resources are fungible, that is, the job can be done with any mix of the resources, but with different efficiencies. In our…

最优化与控制 · 数学 2021-04-20 Akshay Agrawal , Stephen Boyd , Deepak Narayanan , Fiodar Kazhamiaka , Matei Zaharia

The growing adoption of electric vehicles (EVs) is increasing peak demand in distribution systems, which can threaten grid stability and reduce operational efficiency. Dynamic electricity pricing is a promising means of mitigating these…

系统与控制 · 电气工程与系统科学 2026-05-27 Jiarui Yu , Zhiyu He , Wenbin Wang , Colin N. Jones , Florian Dörfler , Hanmin Cai

This work is motivated by our collaboration with a large consumer packaged goods (CPG) company. We have found that while the company appreciates the advantages of dynamic pricing, they deem it operationally much easier to plan out a static…

数据结构与算法 · 计算机科学 2020-11-24 Will Ma , David Simchi-Levi , Jinglong Zhao

In many reinforcement learning applications, the underlying environment reward and transition functions are explicitly known differentiable functions. This enables us to use recent research which applies machine learning tools to stochastic…

投资组合管理 · 定量金融 2022-04-08 Thibault Jaisson

We present a method to solve fractional optimal control problems, where the dynamic depends on integer and Caputo fractional derivatives. Our approach consists to approximate the initial fractional order problem with a new one that involves…

最优化与控制 · 数学 2016-10-25 Ricardo Almeida , Delfim F. M. Torres

Algorithmic trading has gained attention due to its potential for generating superior returns. This paper investigates the effectiveness of deep reinforcement learning (DRL) methods in algorithmic commodities trading. It formulates the…

交易与市场微观结构 · 定量金融 2023-09-06 Jonas Hanetho

In the problem of online load balancing on uniformly related machines with bounded migration, jobs arrive online one after another and have to be immediately placed on one of a given set of machines without knowledge about jobs that may…

数据结构与算法 · 计算机科学 2022-09-05 Marten Maack

Evolutions of the trading landscape lead to the capability to exchange the same financial instrument on different venues. Because of liquidity issues, the trading firms split large orders across several trading destinations to optimize…

交易与市场微观结构 · 定量金融 2010-07-28 Sophie Laruelle , Charles-Albert Lehalle , Gilles Pagès

In this paper we introduce a completely continuous and time-variate model of the evolution of market limit orders based on the existence, uniqueness, and regularity of the solutions to a type of stochastic partial differential equations…

交易与市场微观结构 · 定量金融 2012-10-29 Zhi Zheng , Richard B. Sowers

This paper studies how to maximize a spectrum database operator's expected revenue in sharing spectrum to secondary users, through joint pricing and admission control of spectrum resources. A unique feature of our model is the consideration…

网络与互联网体系结构 · 计算机科学 2016-04-08 Changkun Jiang , Lingjie Duan , Jianwei Huang

Model Predictive Control (MPC) is widely recognized for its ability to explicitly handle system constraints. In practice, system states are often affected by disturbances with unknown distributions. While robust MPC guarantees constraint…

系统与控制 · 电气工程与系统科学 2026-03-11 Weijiang Zheng , Jiayi Huang , Bing Zhu

Distributed optimization is fundamental to modern machine learning applications like federated learning, but existing methods often struggle with ill-conditioned problems and face stability-versus-speed tradeoffs. We introduce fractional…

机器学习 · 计算机科学 2024-12-04 Andrei Lixandru , Marcel van Gerven , Sergio Pequito

We address the challenging problem of dynamically pricing complementary items that are sequentially displayed to customers. An illustrative example is the online sale of flight tickets, where customers navigate through multiple web pages.…

Computing optimal transport (OT) for general high-dimensional data has been a long-standing challenge. Despite much progress, most of the efforts including neural network methods have been focused on the static formulation of the OT…

机器学习 · 统计学 2025-03-12 Chen Xu , Xiuyuan Cheng , Yao Xie

Off-policy evaluation and learning (OPE/L) use offline observational data to make better decisions, which is crucial in applications where online experimentation is limited. However, depending entirely on logged data, OPE/L is sensitive to…

机器学习 · 计算机科学 2022-07-19 Nathan Kallus , Xiaojie Mao , Kaiwen Wang , Zhengyuan Zhou

We consider distributionally robust optimization (DRO) problems, reformulated as distributionally robust feasibility (DRF) problems, with multiple expectation constraints. We propose a generic stochastic first-order meta-algorithm, where…

最优化与控制 · 数学 2023-05-29 Hyungki Im , Paul Grigas

A classical inventory problem is studied from the perspective of embedded options, reducing inventory-management to the design of optimal contracts for forward delivery of stock (commodity). Financial option techniques \`{a} la…

最优化与控制 · 数学 2019-04-10 Roy O. Davies , A. J. Ostaszewski