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We propose a novel algorithm for online resource allocation with non-stationary customer arrivals and unknown click-through rates. We assume multiple types of customers arrive in a nonstationary stochastic fashion, with unknown arrival…

Machine Learning · Computer Science 2024-06-04 Xiaoyue Zhang , Hanzhang Qin , Mabel C. Chou

Flexible demand response (DR) resources can be leveraged to accommodate the stochasticity of some distributed energy resources. This paper develops an online learning approach that continuously estimates price sensitivities of residential…

Systems and Control · Computer Science 2020-04-28 Robert Mieth , Yury Dvorkin

We study an online linear programming (OLP) model in which inventory is not provided upfront but instead arrives gradually through an exogenous stochastic replenishment process. This replenishment-based formulation captures operational…

Optimization and Control · Mathematics 2026-01-22 Yuze Chen , Yuan Zhou , Baichuan Mo , Jie Ying , Yufei Ruan , Zhou Ye

This paper considers a combination of the joint replenishment problem with single machine scheduling. There is a single resource, which is required by all the jobs, and a job can be started at time point $t$ on the machine if and only the…

Data Structures and Algorithms · Computer Science 2024-05-03 Péter Györgyi , Tamás Kis , Tímea Tamási

We introduce the refined assortment optimization problem where a firm may decide to make some of its products harder to get instead of making them unavailable as in the traditional assortment optimization problem. Airlines, for example,…

Theoretical Economics · Economics 2021-02-08 Gerardo Berbeglia , Alvaro Flores , Guillermo Gallego

In the online general knapsack problem, an algorithm is presented with an item $x=(s,v)$ of size $s$ and value $v$ and must irrevocably choose to pack such an item into the knapsack or reject it before the next item appears. The goal is to…

Data Structures and Algorithms · Computer Science 2025-04-30 Elisabet Burjons , Matthias Gehnen

Robust optimization (RO) has emerged as one of the leading paradigms to efficiently model parameter uncertainty. The recent connections between RO and problems in statistics and machine learning domains demand for solving RO problems in…

Optimization and Control · Mathematics 2017-11-21 Nam Ho-Nguyen , Fatma Kilinc-Karzan

In this paper, we propose a stochastic model to describe how search service providers charge client companies based on users' queries for the keywords related to these companies' ads by using certain advertisement assignment strategies. We…

Data Structures and Algorithms · Computer Science 2012-09-10 Bo Tan , R. Srikant

Regret matching (RM) -- and its modern variants -- is a foundational online algorithm that has been at the heart of many AI breakthrough results in solving benchmark zero-sum games, such as poker. Yet, surprisingly little is known so far in…

Computer Science and Game Theory · Computer Science 2025-11-18 Ioannis Anagnostides , Emanuel Tewolde , Brian Hu Zhang , Ioannis Panageas , Vincent Conitzer , Tuomas Sandholm

Most recent research in network revenue management incorporates choice behavior that models the customers' buying logic. These models are consequently more complex to solve, but they return a more robust policy that usually generates better…

Optimization and Control · Mathematics 2019-11-05 Thibault Barbier , Miguel Anjos , Fabien Cirinei , Gilles Savard

The resource allocation problem consists of the optimal distribution of a budget between agents in a group. We consider such a problem in the context of open systems, where agents can be replaced at some time instances. These replacements…

Multiagent Systems · Computer Science 2022-07-20 Renato Vizuete , Charles Monnoyer de Galland , Julien M. Hendrickx , Paolo Frasca , Elena Panteley

We study the problem of online resource allocation, where multiple customers arrive sequentially and the seller must irrevocably allocate resources to each incoming customer while also facing a procurement cost for the total allocation.…

Optimization and Control · Mathematics 2020-12-24 Mitas Ray , Omid Sadeghi , Lillian J. Ratliff , Maryam Fazel

A frequent problem in settings where a unique resource must be shared among users is how to resolve the contention that arises when all of them must use it, but the resource allows only for one user each time. The application of efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-07-04 Antonio Fernández Anta , Miguel A. Mosteiro , Jorge Ramón Muñoz

We study Online Linear Programming (OLP) with batching. The planning horizon is cut into $K$ batches, and the decisions on customers arriving within a batch can be delayed to the end of their associated batch. Compared with OLP without…

Machine Learning · Computer Science 2024-08-02 Haoran Xu , Peter W. Glynn , Yinyu Ye

We study the revenue guarantees and approximability of item pricing. Recent work shows that with $n$ heterogeneous items, item-pricing guarantees an $O(\log n)$ approximation to the optimal revenue achievable by any (buy-many) mechanism,…

Computer Science and Game Theory · Computer Science 2021-11-08 Shuchi Chawla , Rojin Rezvan , Yifeng Teng , Christos Tzamos

We study the Online Traveling Salesperson Problem (OLTSP) with predictions. In OLTSP, a sequence of initially unknown requests arrive over time at points (locations) of a metric space. The goal is, starting from a particular point of the…

Data Structures and Algorithms · Computer Science 2023-05-04 Evripidis Bampis , Bruno Escoffier , Themis Gouleakis , Niklas Hahn , Kostas Lakis , Golnoosh Shahkarami , Michalis Xefteris

Motivated by e-commerce, we study the online assortment optimization problem. The seller offers an assortment, i.e. a subset of products, to each arriving customer, who then purchases one or no product from her offered assortment. A…

Machine Learning · Computer Science 2017-04-04 Wang Chi Cheung , David Simchi-Levi

A basic combinatorial online resource allocation problem is considered, where multiple servers have individual capacity constraints, and at each time slot, a set of jobs arrives, that have potentially different weights to different servers.…

Data Structures and Algorithms · Computer Science 2015-12-02 Ajil Jalal , Rahul Vaze , Umang Bhaskar

Online decision-makers often obtain predictions on future variables, such as arrivals, demands, inventories, and so on. These predictions can be generated from simple forecasting algorithms for univariate time-series, all the way to…

Optimization and Control · Mathematics 2024-06-25 Lin An , Andrew A. Li , Benjamin Moseley , Gabriel Visotsky

We give a polynomial-time algorithm for OnlineSetCover with a competitive ratio of $O(\log mn)$ when the elements are revealed in random order, essentially matching the best possible offline bound of $O(\log n)$ and circumventing the…

Data Structures and Algorithms · Computer Science 2024-07-09 Anupam Gupta , Gregory Kehne , Roie Levin