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We propose a theoretical framework for the problem of learning a real-valued function which meets fairness requirements. This framework is built upon the notion of $\alpha$-relative (fairness) improvement of the regression function which we…

Statistics Theory · Mathematics 2022-01-11 Evgenii Chzhen , Nicolas Schreuder

We study a resource allocation problem with varying requests, and with resources of limited capacity shared by multiple requests. It is modeled as a set of heterogeneous Restless Multi-Armed Bandit Problems (RMABPs) connected by constraints…

Optimization and Control · Mathematics 2020-03-30 Jing Fu , Bill Moran , Peter G. Taylor

Stochastic matching is the stochastic version of the well-known matching problem, which consists in maximizing the rewards of a matching under a set of probability distributions associated with the nodes and edges. In most stochastic…

Optimization and Control · Mathematics 2024-05-01 Yuya Hikima , Yasunori Akagi , Hideaki Kim

We present a convex optimization framework for overcoming the limitations of Kubernetes Cluster Autoscaler by intelligently allocating diverse cloud resources while minimizing costs and fragmentation. Current Kubernetes scaling mechanisms…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-28 Shayan Boghani , Emin Kirimlioglu , Amrita Moturi , Hao-Ting Tso

In this paper, we propose a novel resource management scheme that jointly allocates the transmit power and computational resources in a centralized radio access network architecture. The network comprises a set of computing nodes to which…

Networking and Internet Architecture · Computer Science 2021-06-24 Mohsen Tajallifar , Sina Ebrahimi , Mohammad Reza Javan , Nader Mokari , Luca Chiaraviglio

This paper proposes a new formulation for the dynamic resource allocation problem, which converts the traditional MDP model with known parameters and no capacity constraints to a new model with uncertain parameters and a resource capacity…

Optimization and Control · Mathematics 2020-11-10 Onur Demiray , Evrim Didem Güneş , Lerzan Örmeci

Resource-constrained systems are prevalent in communications. Such a system is composed of many components but only some of them can be allocated with resources such as time slots. According to the amount of information about the system,…

Information Theory · Computer Science 2014-04-02 Albert Y. S. Lam , Yanhui Geng , Victor O. K. Li

We revisit a classical scheduling model to incorporate modern trends in data center networks and cloud services. Addressing some key challenges in the allocation of shared resources to user requests (jobs) in such settings, we consider the…

Data Structures and Algorithms · Computer Science 2018-11-20 Kanthi Sarpatwar , Baruch Schieber , Hadas Shachnai

Statistical estimation in many contemporary settings involves the acquisition, analysis, and aggregation of datasets from multiple sources, which can have significant differences in character and in value. Due to these variations, the…

Applications · Statistics 2014-12-23 Quentin Berthet , Venkat Chandrasekaran

We study resource allocation in two-sided markets from a fundamental perspective and introduce a general modeling and algorithmic framework to effectively incorporate the complex and multidimensional aspects of fairness. Our main technical…

Computer Science and Game Theory · Computer Science 2025-06-03 Javier Cembrano , Andrés Moraga , Victor Verdugo

Nowadays many companies have available large amounts of raw, unstructured data. Among Big Data enabling technologies, a central place is held by the MapReduce framework and, in particular, by its open source implementation, Apache Hadoop.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-18 Eugenio Gianniti , Danilo Ardagna , Michele Ciavotta , Mauro Passacantando

We introduce two new optimization models for the dispatch of ambulances. The first model, called the ambulance selection problem, is used when an emergency call arrives to decide whether an ambulance should be dispatched for that call, and…

Optimization and Control · Mathematics 2024-09-10 Vincent Guigues , Anton Kleywegt , Victor Hugo Nascimento

We consider reallocation problems in settings where the initial endowment of each agent consists of a subset of the resources. The private information of the players is their value for every possible subset of the resources. The goal is to…

Computer Science and Game Theory · Computer Science 2014-04-29 Liad Blumrosen , Shahar Dobzinski

We consider the problem of assigning students to schools, when students have different utilities for schools and schools have capacity. There are additional group fairness considerations over students that can be captured either by concave…

Data Structures and Algorithms · Computer Science 2025-04-24 Santhini K. A. , Kamesh Munagala , Meghana Nasre , Govind S. Sankar

Optimal allocation of resources across sub-units in the context of centralized decision-making systems such as bank branches or supermarket chains is a classical application of operations research and management science. In this paper, we…

Methodology · Statistics 2023-11-14 Sheng Dai , Natalia Kuosmanen , Timo Kuosmanen , Juuso Liesiö

We introduce in this paper a new variant of a location routing problem, to decide, the number and location of drop-off points to install based on the demands of a set of pick-up points, according to a given set-up budget for installing…

Optimization and Control · Mathematics 2025-05-09 Maria Albareda-Sambola , Víctor Blanco , Yolanda Hinojosa

Applications such as employees sharing office spaces over a workweek can be modeled as problems where agents are matched to resources over multiple rounds. Agents' requirements limit the set of compatible resources and the rounds in which…

Artificial Intelligence · Computer Science 2022-12-01 Yohai Trabelsi , Abhijin Adiga , Sarit Kraus , S. S. Ravi , Daniel J. Rosenkrantz

In the resource allocation problem (RAP), the goal is to divide a given amount of resource over a set of activities while minimizing the cost of this allocation and possibly satisfying constraints on allocations to subsets of the…

Optimization and Control · Mathematics 2023-02-28 Martijn H. H. Schoot Uiterkamp , Marco E. T. Gerards , Johann L. Hurink

In this paper we propose a new efficient linear programming based approach for multi-resource allocation and location problems in disaster management. Such problems require an integer solution and therefore, in most cases, the computations…

Optimization and Control · Mathematics 2018-12-05 Behrooz Bodaghi , Nadezda Sukhorukova

We study a class of optimal allocation problems, including the well-known Bomber Problem, with the following common probabilistic structure. An aircraft equipped with an amount~$x$ of ammunition is intercepted by enemy airplanes arriving…

Probability · Mathematics 2011-03-03 Jay Bartroff , Larry Goldstein , Yosef Rinott , Ester Samuel-Cahn