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Online optimization problems arise in many resource allocation tasks, where the future demands for each resource and the associated utility functions change over time and are not known apriori, yet resources need to be allocated at every…

Optimization and Control · Mathematics 2015-02-06 Reza Eghbali , Jon Swenson , Maryam Fazel

We study the online unweighted bipartite matching problem in the random arrival order model, with $n$ offline and $n$ online vertices, in the learning-augmented setting: The algorithm is provided with untrusted predictions of the types…

Machine Learning · Computer Science 2025-12-01 Kunanon Burathep , Thomas Erlebach , William K. Moses

Patient scheduling is a difficult task involving stochastic factors such as the unknown arrival times of patients. Similarly, the scheduling of radiotherapy for cancer treatments needs to handle patients with different urgency levels when…

Machine Learning · Computer Science 2022-10-25 Tu-San Pham , Antoine Legrain , Patrick De Causmaecker , Louis-Martin Rousseau

Online allocation is a broad class of problems where items arriving online have to be allocated to agents who have a fixed utility/cost for each assigned item so to maximize/minimize some objective. This framework captures a broad range of…

Computer Science and Game Theory · Computer Science 2023-05-31 Ilan Reuven Cohen , Debmalya Panigrahi

We study online algorithms with predictions using distributional advice, a type of prediction that arises when leveraging expert knowledge or historical data. To demonstrate the usefulness and versatility of this framework, we focus on the…

Data Structures and Algorithms · Computer Science 2025-09-09 Clément L. Canonne , Kenny Chen , Julián Mestre

In this work, we study an upgrading scheme for online resource allocation problems. We work in a sequential setting, where at each round a request for a resource arrives and the decision-maker has to decide whether to accept it (and thus,…

Optimization and Control · Mathematics 2024-02-15 Patrick Jaillet , Chara Podimata , Andrew Vakhutinsky , Zijie Zhou

While artificial intelligence (AI)-based decision-making systems are increasingly popular, significant concerns on the potential discrimination during the AI decision-making process have been observed. For example, the distribution of…

Machine Learning · Computer Science 2025-08-05 Wenbin Zhang

This paper studies online resource allocation with replenishable budgets, where budgets can be replenished on top of the initial budget and an agent sequentially chooses online allocation decisions without violating the available budget…

Computer Science and Game Theory · Computer Science 2024-01-10 Jianyi Yang , Pengfei Li , Mohammad Jaminur Islam , Shaolei Ren

The online knapsack problem is a classic online resource allocation problem in networking and operations research. Its basic version studies how to pack online arriving items of different sizes and values into a capacity-limited knapsack.…

Data Structures and Algorithms · Computer Science 2023-03-16 Bo Sun , Lin Yang , Mohammad Hajiesmaili , Adam Wierman , John C. S. Lui , Don Towsley , Danny H. K. Tsang

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

We consider the problem of fairly allocating items to a set of individuals, when the items are arriving online. A central solution concept in fair allocation is competitive equilibrium: every individual is endowed with a budget of faux…

Computer Science and Game Theory · Computer Science 2022-10-18 Luofeng Liao , Yuan Gao , Christian Kroer

Efficient and truthful mechanisms to price resources on remote servers/machines has been the subject of much work in recent years due to the importance of the cloud market. This paper considers revenue maximization in the online stochastic…

Computer Science and Game Theory · Computer Science 2024-02-20 Shant Boodaghians , Federico Fusco , Stefano Leonardi , Yishay Mansour , Ruta Mehta

Stochastic network optimization problems entail finding resource allocation policies that are optimum on an average but must be designed in an online fashion. Such problems are ubiquitous in communication networks, where resources such as…

Optimization and Control · Mathematics 2018-05-09 Amrit S. Bedi , Ketan Rajawat

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

In learning-augmented online algorithms, predictions are usually valued for what they say: a value estimate, a solution, or an algorithmic recommendation. This paper shows that predictions can also be valuable solely due to their arrival…

Data Structures and Algorithms · Computer Science 2026-05-22 Franziska Eberle , Alexander Lindermayr

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

In several applications of real-time matching of demand to supply in online marketplaces, the platform allows for some latency to batch the demand and improve the efficiency. Motivated by these applications, we study the optimal trade-off…

Data Structures and Algorithms · Computer Science 2022-12-01 Yiding Feng , Rad Niazadeh

We study fully dynamic online selection problems in an adversarial/stochastic setting that includes Bayesian online selection, prophet inequalities, posted price mechanisms, and stochastic probing problems subject to combinatorial…

Artificial Intelligence · Computer Science 2023-01-10 Vashist Avadhanula , Andrea Celli , Riccardo Colini-Baldeschi , Stefano Leonardi , Matteo Russo

The cloud computing industry has grown rapidly over the last decade, and with this growth there is a significant increase in demand for compute resources. Demand is manifested in the form of Virtual Machine (VM) requests, which need to be…

Data Structures and Algorithms · Computer Science 2020-11-13 Niv Buchbinder , Yaron Fairstein , Konstantina Mellou , Ishai Menache , Joseph , Naor

Online algorithms process their inputs piece by piece, taking irrevocable decisions for each data item. This model is too restrictive for most partitioning problems, since data that is yet to arrive may render it impossible to extend…

Data Structures and Algorithms · Computer Science 2017-02-21 Christian Konrad , Tigran Tonoyan
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