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We study a general allocation setting where agent valuations are concave additive. In this model, a collection of items must be uniquely distributed among a set of agents, where each agent-item pair has a specified utility. The objective is…

Data Structures and Algorithms · Computer Science 2022-03-15 Nathaniel Kell , Kevin Sun

Motivated primarily by applications in cloud computing, we study a simple, yet powerful, online allocation problem in which jobs of varying durations arrive over continuous time and must be assigned immediately and irrevocably to one of the…

Data Structures and Algorithms · Computer Science 2025-06-10 Farbod Ekbatani , Yiding Feng , Ian Kash , Rad Niazadeh

Decision-makers often have access to machine-learned predictions about future demand that can help guide online resource allocation decisions. However, such predictions may be inaccurate. We develop a framework for online resource…

Data Structures and Algorithms · Computer Science 2026-05-19 Negin Golrezaei , Patrick Jaillet , Zijie Zhou

We study online capacitated resource allocation, a natural generalization of online stochastic max-weight bipartite matching. This problem is motivated by ride-sharing and Internet advertising applications, where online arrivals may have…

Data Structures and Algorithms · Computer Science 2024-06-13 Alexander Braun , Thomas Kesselheim , Tristan Pollner , Amin Saberi

We consider the problem of fairly allocating a sequence of indivisible items that arrive online in an arbitrary order to a group of n agents with additive normalized valuation functions. We consider both the allocation of goods and chores…

Computer Science and Game Theory · Computer Science 2023-04-27 Shengwei Zhou , Rufan Bai , Xiaowei Wu

In many online learning problems we are interested in predicting local information about some universe of items. For example, we may want to know whether two items are in the same cluster rather than computing an assignment of items to…

Machine Learning · Computer Science 2014-03-24 Paul Christiano

Semi-online algorithms that are allowed to perform a bounded amount of repacking achieve guaranteed good worst-case behaviour in a more realistic setting. Most of the previous works focused on minimization problems that aim to minimize some…

Data Structures and Algorithms · Computer Science 2021-04-21 Sebastian Berndt , Kilian Grage , Klaus Jansen , Lukas Johannsen , Maria Kosche

In this dissertation we study statistical and online learning problems from an optimization viewpoint.The dissertation is divided into two parts : I. We first consider the question of learnability for statistical learning problems in the…

Machine Learning · Computer Science 2012-04-19 Karthik Sridharan

Large-scale online recommendation systems must facilitate the allocation of a limited number of items among competing users while learning their preferences from user feedback. As a principled way of incorporating market constraints and…

Machine Learning · Computer Science 2022-12-15 Yigit Efe Erginbas , Soham Phade , Kannan Ramchandran

We study a general problem of allocating limited resources to heterogeneous customers over time under model uncertainty. Each type of customer can be serviced using different actions, each of which stochastically consumes some combination…

Artificial Intelligence · Computer Science 2021-08-31 Wang Chi Cheung , Will Ma , David Simchi-Levi , Xinshang Wang

We consider a practically motivated variant of the canonical online fair allocation problem: a decision-maker has a budget of perishable resources to allocate over a fixed number of rounds. Each round sees a random number of arrivals, and…

Optimization and Control · Mathematics 2026-04-03 Siddhartha Banerjee , Chamsi Hssaine , Sean R. Sinclair

We study different online optimization problems in the random-order model. There is a finite set of bins with known capacity and a finite set of items arriving in a random order. Upon arrival of an item, its size and its value for each of…

Data Structures and Algorithms · Computer Science 2025-04-03 Max Klimm , Martin Knaack

Online algorithm is an important branch in algorithm design. Designing online algorithms with a bounded competitive ratio (in terms of worst-case performance) can be hard and usually relies on problem-specific assumptions. Inspired by…

Machine Learning · Computer Science 2021-11-22 Bingqian Du , Zhiyi Huang , Chuan Wu

Many decision processes run for a long and unknown duration: in each round new requests arrive, an irrevocable choice must be made immediately, and the system is judged by ongoing fairness requirements. Examples include food banks…

Computer Science and Game Theory · Computer Science 2026-05-26 Ido Kahana , Erel Segal-Halevi , Noam Hazon

We consider the problem of online allocation (matching, budgeted allocations, and assortments) of reusable resources where an adversarial sequence of resource requests is revealed over time and any allocated resource is used/rented for a…

Data Structures and Algorithms · Computer Science 2024-09-17 Vineet Goyal , Garud Iyengar , Rajan Udwani

Online bidding is a classic optimization problem, with several applications in online decision-making, the design of interruptible systems, and the analysis of approximation algorithms. In this work, we study online bidding under…

Computer Science and Game Theory · Computer Science 2025-10-30 Spyros Angelopoulos , Bertrand Simon

The online assignment problem plays an important role in operational research and computer science which is why immense attention has been given to improving its solution quality. Due to the incomplete information about the input, it is…

Computational Complexity · Computer Science 2022-08-09 Clarence Gabriel R. Kasilag , Pollux M. Rey , Jhoirene B. Clemente

Inspired by online ad allocation, we study online stochastic packing linear programs from theoretical and practical standpoints. We first present a near-optimal online algorithm for a general class of packing linear programs which model…

Data Structures and Algorithms · Computer Science 2010-02-17 Jon Feldman , Monika Henzinger , Nitish Korula , Vahab S. Mirrokni , Cliff Stein

Many real-world resource allocation systems, such as humanitarian logistics and vaccine distribution, must preposition limited supply across multiple locations before demand is realized while stockouts incur irreversible service losses. To…

Artificial Intelligence · Computer Science 2026-05-11 Tzeh Yuan Neoh , Davin Choo , Mengchu Yue , Milind Tambe

Motivated by Internet advertising applications, online allocation problems have been studied extensively in various adversarial and stochastic models. While the adversarial arrival models are too pessimistic, many of the stochastic (such as…

Data Structures and Algorithms · Computer Science 2017-11-17 Hossein Esfandiari , Nitish Korula , Vahab Mirrokni