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Related papers: Competitive Online Optimization with Multiple Inve…

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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.…

In the Network Revenue Management (NRM) problem, products composed of up to L resources are sold to stochastically arriving customers. We take a randomized rounding approach to NRM, motivated by the modern tool of Online Contention…

Computer Science and Game Theory · Computer Science 2024-12-10 Will Ma , Calum MacRury , Jingwei Zhang

The Joint Replenishment Problem (JRP) is a classical inventory management problem, that aims to model the trade-off between coordinating orders for multiple commodities (and their cost) with holding costs incurred by meeting demand in…

Data Structures and Algorithms · Computer Science 2026-02-13 David Shmoys , Varun Suriyanarayana , Seeun William Umboh

In this work, we study a scenario where a publisher seeks to maximize its total revenue across two sales channels: guaranteed contracts that promise to deliver a certain number of impressions to the advertisers, and spot demands through an…

Computer Science and Game Theory · Computer Science 2021-07-16 Melika Abolhassani , Hossein Esfandiari , Yasamin Nazari , Balasubramanian Sivan , Yifeng Teng , Creighton Thomas

We consider the online resource minimization problem in which jobs with hard deadlines arrive online over time at their release dates. The task is to determine a feasible schedule on a minimum number of machines. We rigorously study this…

Data Structures and Algorithms · Computer Science 2015-12-09 Lin Chen , Nicole Megow , Kevin Schewior

We consider markets consisting of a set of indivisible items, and buyers that have {\em sharp} multi-unit demand. This means that each buyer $i$ wants a specific number $d_i$ of items; a bundle of size less than $d_i$ has no value, while a…

Computer Science and Game Theory · Computer Science 2015-03-13 Ning Chen , Xiaotie Deng , Paul. W. Goldberg , Jinshan Zhang

We study the cyclic inventory routing problem that involves joint decisions on vehicle routing and inventory replenishment on an infinite, cyclic horizon. It considers a single warehouse and a set of geographically dispersed retailers. We…

Optimization and Control · Mathematics 2026-05-07 Menglei Jia , Albert H. Schrotenboer , Ahmadreza Marandi , Feng Chen

We introduce a natural online allocation problem that connects several of the most fundamental problems in online optimization. Let $M$ be an $n$-point metric space. Consider a resource that can be allocated in arbitrary fractions to the…

Data Structures and Algorithms · Computer Science 2021-12-01 Nikhil Bansal , Christian Coester

The assortment planning problem is a central piece in the revenue management strategy of any company in the retail industry. In this paper, we study a robust assortment optimization problem for substitutable products under a sequential…

Optimization and Control · Mathematics 2020-09-01 Saharnaz Mehrani , Jorge A. Sefair

In this paper we consider several related online computation problems. First, we study answering sequences of statistical queries arriving online, and being answered immediately when they arrive with differential privacy. Known matrix…

Data Structures and Algorithms · Computer Science 2026-05-12 Aleksandar Nikolov , Haohua Tang , Jonathan Ullman

A frequently studied performance measure in online optimization is competitive analysis. It corresponds to the worst-case ratio, over all possible inputs of an algorithm, between the performance of the algorithm and the optimal offline…

Optimization and Control · Mathematics 2024-05-30 Antoine Lhomme , Nicolas Catusse , Nadia Brauner

We consider a multi-agent resource allocation setting that models the assignment of papers to reviewers. A recurring issue in allocation problems is the compatibility of welfare/efficiency and fairness. Given an oracle to find a…

Computer Science and Game Theory · Computer Science 2019-08-02 Haris Aziz , Xin Huang , Nicholas Mattei , Erel Segal-Halevi

In this paper we consider a distributed optimization scenario in which a set of processors aims at minimizing the maximum of a collection of "separable convex functions" subject to local constraints. This set-up is motivated by peak-demand…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-27 Ivano Notarnicola , Mauro Franceschelli , Giuseppe Notarstefano

Online resource allocation (ORA) is a fundamental framework for sequential decision-making problems under budget constraints, with applications ranging from online advertising to revenue management. In this work, we study a broader setting…

Computer Science and Game Theory · Computer Science 2026-05-12 Eleonora Fidelia Chiefari , Francesco Emanuele Stradi , Matteo Castiglioni , Alberto Marchesi

We revisit the problem of large-scale assortment optimization under the multinomial logit choice model without any assumptions on the structure of the feasible assortments. Scalable real-time assortment optimization has become essential in…

Optimization and Control · Mathematics 2018-05-02 Deeksha Sinha , Theja Tulabandhula

This paper introduces a dual-based algorithm framework for solving the regularized online resource allocation problems, which have potentially non-concave cumulative rewards, hard resource constraints, and a non-separable regularizer. Under…

Machine Learning · Computer Science 2023-07-18 Wanteng Ma , Ying Cao , Danny H. K. Tsang , Dong Xia

We study stochastic online resource allocation: a decision maker needs to allocate limited resources to stochastically-generated sequentially-arriving requests in order to maximize reward. At each time step, requests are drawn independently…

Data Structures and Algorithms · Computer Science 2023-06-26 Santiago Balseiro , Christian Kroer , Rachitesh Kumar

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 consider online scheduling on multiple machines for jobs arriving one-by-one with the objective of minimizing the makespan. For any number of identical parallel or uniformly related machines, we provide a competitive-ratio approximation…

Data Structures and Algorithms · Computer Science 2013-03-11 Nicole Megow , Andreas Wiese

There is a rising interest for studying the online benchmark as an alternative of the classical offline benchmark in online stochastic settings. Ezra, Feldman, Gravin, and Tang (SODA 2023) introduced the notion of order-competitive ratio,…

Data Structures and Algorithms · Computer Science 2024-06-24 Liyan Chen , Nuozhou Sun , Zhihao Gavin Tang