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We study the problem of scheduling a set of jobs with release dates, deadlines and processing requirements (or works), on parallel speed-scaled processors so as to minimize the total energy consumption. We consider that both preemption and…

Data Structures and Algorithms · Computer Science 2011-07-13 Eric Angel , Evripidis Bampis , Fadi Kacem , Dimitrios Letsios

Motivated by modern parallel computing applications, we consider the problem of scheduling parallel-task jobs with heterogeneous resource requirements in a cluster of machines. Each job consists of a set of tasks that can be processed in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-03 Mehrnoosh Shafiee , Javad Ghaderi

New optical technologies offer the ability to reconfigure network topologies dynamically, rather than setting them once and for all. This is true in both optical wide area networks (optical WANs) and in datacenters, despite the many…

Data Structures and Algorithms · Computer Science 2020-01-23 Michael Dinitz , Benjamin Moseley

In this paper, we study a general online linear programming problem whose formulation encompasses many practical dynamic resource allocation problems, including internet advertising display applications, revenue management, various routing,…

Data Structures and Algorithms · Computer Science 2015-03-20 Patrick Jaillet , Xin Lu

This paper presents a new regularization approach -- termed OpReg-Boost -- to boost the convergence and lessen the asymptotic error of online optimization and learning algorithms. In particular, the paper considers online algorithms for…

Machine Learning · Computer Science 2022-04-05 Nicola Bastianello , Andrea Simonetto , Emiliano Dall'Anese

We study a sequential resource allocation problem between a fixed number of arms. On each iteration the algorithm distributes a resource among the arms in order to maximize the expected success rate. Allocating more of the resource to a…

Machine Learning · Computer Science 2018-03-29 Yuval Dagan , Koby Crammer

Online allocation problems with resource constraints have a rich history in operations research. In this paper, we introduce the \emph{regularized online allocation problem}, a variant that includes a non-linear regularizer acting on the…

Optimization and Control · Mathematics 2021-11-08 Santiago Balseiro , Haihao Lu , Vahab Mirrokni

Interval-constrained online bipartite matching problem frequently occurs in medical appointment scheduling: Unit-time jobs representing patients arrive online and are assigned to a time slot within their given feasible time interval. We…

Data Structures and Algorithms · Computer Science 2025-08-15 Andreas Abels , Mariia Anapolska , Christina Büsing

We prove new lower bounds for suitable competitive ratio measures of two relaxed online packing problems: online removable multiple knapsack, and a recently introduced online minimum peak appointment scheduling problem. The high level…

Data Structures and Algorithms · Computer Science 2022-01-19 János Balogh , György Dósa , Leah Epstein , Łukasz Jeż

Many important multiple-objective decision problems can be cast within the framework of ranking under constraints and solved via a weighted bipartite matching linear program. Some of these optimization problems, such as personalized content…

Information Retrieval · Computer Science 2022-02-16 Yegor Tkachenko , Wassim Dhaouadi , Kamel Jedidi

We consider the problem of online job scheduling on a single machine or multiple unrelated machines with general job/machine-dependent cost functions. In this model, each job $j$ has a processing requirement (length) $v_{ij}$ and arrives…

Systems and Control · Electrical Eng. & Systems 2024-09-23 S. Rasoul Etesami

We present and study a new model for energy-aware and profit-oriented scheduling on a single processor. The processor features dynamic speed scaling as well as suspension to a sleep mode. Jobs arrive over time, are preemptable, and have…

Data Structures and Algorithms · Computer Science 2012-09-14 Peter Kling , Andreas Cord-Landwehr , Frederik Mallmann-Trenn

We revisit the classical problem of minimizing the total flow time of jobs on a single machine in the online setting where jobs arrive over time. It has long been known that the Shortest Remaining Processing Time (SRPT) algorithm is optimal…

Data Structures and Algorithms · Computer Science 2025-08-26 Anupam Gupta , Haim Kaplan , Alexander Lindermayr , Jens Schlöter , Sorrachai Yingchareonthawornchai

We consider an off-line optimisation problem where $k$ robots must service $n$ requests on a single line. A request $i$ has weight $w_i$ and takes place at time $t_i$ at location $d_i$ on the line. A robot can service a request and collect…

Data Structures and Algorithms · Computer Science 2021-12-01 A. Gkikas , T. Radzik

Cloud computing is emerging as an important platform for business, personal and mobile computing applications. In this paper, we study a stochastic model of cloud computing, where jobs arrive according to a stochastic process and request…

Performance · Computer Science 2012-06-07 Siva Theja Maguluri , R Srikant , Lei Ying

When parallelizing a set of jobs across many servers, one must balance a trade-off between granting priority to short jobs and maintaining the overall efficiency of the system. When the goal is to minimize the mean flow time of a set of…

Performance · Computer Science 2020-11-24 Benjamin Berg , Rein Vesilo , Mor Harchol-Balter

In this paper we initiate the study of minimizing power consumption in the broadcast scheduling model. In this setting there is a wireless transmitter. Over time requests arrive at the transmitter for pages of information. Multiple requests…

Data Structures and Algorithms · Computer Science 2010-07-23 Benjamin Moseley

We study the shared processor scheduling problem with a single shared processor where a unit time saving (weight) obtained by processing a job on the shared processor depends on the job. A polynomial-time optimization algorithm has been…

Discrete Mathematics · Computer Science 2021-01-19 Dariusz Dereniowski , Wieslaw Kubiak

Online graph problems are considered in models where the irrevocability requirement is relaxed. Motivated by practical examples where, for example, there is a cost associated with building a facility and no extra cost associated with doing…

Data Structures and Algorithms · Computer Science 2017-05-01 Joan Boyar , Lene M. Favrholdt , Kim S. Larsen , Michal Kotrbčík

Machine learning algorithms are designed to make accurate predictions of the future based on existing data, while online algorithms seek to bound some performance measure (typically the competitive ratio) without knowledge of the future.…

Machine Learning · Computer Science 2021-09-30 Kevin Rao