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In this paper we consider resource allocation problem stated as a convex minimization problem with linear constraints. To solve this problem, we use gradient and accelerated gradient descent applied to the dual problem and prove the…

Optimization and Control · Mathematics 2019-10-01 Anastasiya Ivanova , Pavel Dvurechensky , Alexander Gasnikov , Dmitry Kamzolov

Cluster resource allocation is a multidimensional search problem that finds the best allocation of tasks to servers. Because the search space grows exponentially, modern approaches frame it as a mixed integer program (MIP) or a complex set…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-05 Obi Nnorom , Stephen Boyd , Philip Levis

Resource allocation is an essential aspect of successful Product Development (PD). In this paper, we formulate the dynamic resource allocation of the PD process as a convex optimization problem. Specially, we build and solve two variants of…

Systems and Control · Electrical Eng. & Systems 2020-09-22 Chengyan Zhao , Masaki Ogura , Masako Kishida , Ali Yassine

We study a sequential resource allocation problem involving a fixed number of recurring jobs. At each time-step the manager should distribute available resources among the jobs in order to maximise the expected number of completed jobs.…

Machine Learning · Computer Science 2014-06-17 Tor Lattimore , Koby Crammer , Csaba Szepesvári

Motivated by the cloud computing paradigm, and by key optimization problems in all-optical networks, we study two variants of the classic job interval scheduling problem, where a reusable resource is allocated to competing job intervals in…

Data Structures and Algorithms · Computer Science 2016-05-18 Dmitriy Katz , Baruch Schieber , Hadas Shachnai

We propose an exact polynomial algorithm for a resource allocation problem with convex costs and constraints on partial sums of resource consumptions, in the presence of either continuous or integer variables. No assumption of strict…

Data Structures and Algorithms · Computer Science 2014-04-29 Thibaut Vidal , Patrick Jaillet , Nelson Maculan

We study a resource allocation problem over time, where a finite (random) resource needs to be distributed among a set of users at each time instant. Shortfalls in the resource allocated result in user dissatisfaction, which we model as an…

Optimization and Control · Mathematics 2023-12-05 Akhil Bhimaraju , Avhishek Chatterjee , Lav R. Varshney

The resource allocation problem is among the classical problems in operations research, and has been studied extensively for decades. However, current solution approaches are not able to efficiently handle problems with expensive function…

Optimization and Control · Mathematics 2022-05-09 S. C. M. ten Eikelder , J. H. M. van Amerongen

Allocating conflicting jobs among individuals while respecting a budget constraint for each individual is an optimization problem that arises in various real-world scenarios. In this paper, we consider the situation where each individual…

Data Structures and Algorithms · Computer Science 2024-02-06 Sushmita Gupta , Pallavi Jain , A. Mohanapriya , Vikash Tripathi

Allocating scarce resources among agents to maximize global utility is, in general, computationally challenging. We focus on problems where resources enable agents to execute actions in stochastic environments, modeled as Markov decision…

Multiagent Systems · Computer Science 2011-10-13 D. A. Dolgov , E. H. Durfee

In this paper we consider multiple constrained resource allocation problems, where the constraints can be specified by formulating activity dependency restrictions or by using game-theoretic models. All the problems are focused on generic…

Data Structures and Algorithms · Computer Science 2009-06-19 Mugurel Ionut Andreica , Madalina Ecaterina Andreica , Costel Visan

Resource allocation problems in many computer systems can be formulated as mathematical optimization problems. However, finding exact solutions to these problems using off-the-shelf solvers in an online setting is often intractable for…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-15 Deepak Narayanan , Fiodar Kazhamiaka , Firas Abuzaid , Peter Kraft , Matei Zaharia

We consider the classical problem of sequential resource allocation where a decision maker must repeatedly divide a budget between several resources, each with diminishing returns. This can be recast as a specific stochastic optimization…

Machine Learning · Statistics 2020-01-17 Xavier Fontaine , Shie Mannor , Vianney Perchet

In this paper, we investigate the online allocation problem of maximizing the overall revenue subject to both lower and upper bound constraints. Compared to the extensively studied online problems with only resource upper bounds, the…

Machine Learning · Computer Science 2023-01-31 Qixin Zhang , Wenbing Ye , Zaiyi Chen , Haoyuan Hu , Enhong Chen , Yang Yu

In this paper, the distributed resource allocation optimization problem is investigated. The allocation decisions are made to minimize the sum of all the agents' local objective functions while satisfying both the global network resource…

Optimization and Control · Mathematics 2017-04-11 Peng Yi , Yiguang Hong , Feng Liu

Resource allocation problems in many computer systems can be formulated as mathematical optimization problems. However, finding exact solutions to these problems using off-the-shelf solvers is often intractable for large problem sizes with…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-25 Deepak Narayanan , Fiodar Kazhamiaka , Firas Abuzaid , Peter Kraft , Akshay Agrawal , Srikanth Kandula , Stephen Boyd , Matei Zaharia

In this paper we present efficient algorithmic solutions for several constrained resource allocation, management and discovery problems. We consider new types of resource allocation models and constraints, and we present new geometric…

Data Structures and Algorithms · Computer Science 2009-06-09 Mugurel Ionut Andreica , Madalina Ecaterina Andreica , Daniel Ardelean

A central problem in business concerns the optimal allocation of limited resources to a set of available tasks, where the payoff of these tasks is inherently uncertain. In credit card fraud detection, for instance, a bank can only assign a…

Machine Learning · Computer Science 2022-02-10 Toon Vanderschueren , Bart Baesens , Tim Verdonck , Wouter Verbeke

In this paper we consider distributed optimization problems in which the cost function is separable, i.e., a sum of possibly non-smooth functions all sharing a common variable, and can be split into a strongly convex term and a convex one.…

Systems and Control · Computer Science 2016-06-27 Ivano Notarnicola , Giuseppe Notarstefano

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
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