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This paper studies an online replication problem for distributed data access. The goal is to dynamically create and delete data copies in a multi-server system as time passes to minimize the total storage and network cost of serving access…

Data Structures and Algorithms · Computer Science 2024-04-26 Tianyu Zuo , Xueyan Tang , Bu Sung Lee

We propose a new approach to competitive analysis in online scheduling by introducing the novel concept of competitive-ratio approximation schemes. Such a scheme algorithmically constructs an online algorithm with a competitive ratio…

Data Structures and Algorithms · Computer Science 2012-11-01 Elisabeth Günther , Olaf Maurer , Nicole Megow , Andreas Wiese

Power consumption is the major cost factor in data centers. It can be reduced by dynamically right-sizing the data center according to the currently arriving jobs. If there is a long period with low load, servers can be powered down to save…

Data Structures and Algorithms · Computer Science 2021-08-02 Susanne Albers , Jens Quedenfeld

This paper focuses on an online version of the emerging distributed constrained aggregative optimization framework, which is particularly suited for applications arising in cooperative robotics. Agents in a network want to minimize the sum…

Optimization and Control · Mathematics 2023-09-13 Guido Carnevale , Andrea Camisa , Giuseppe Notarstefano

Online algorithms that allow a small amount of migration or recourse have been intensively studied in the last years. They are essential in the design of competitive algorithms for dynamic problems, where objects can also depart from the…

Data Structures and Algorithms · Computer Science 2019-05-21 Sebastian Berndt , Valentin Dreismann , Kilian Grage , Klaus Jansen , Ingmar Knof

The high proportions of demand charges in electric bills motivate large-power customers to leverage energy storage for reducing the peak procurement from the outer grid. Given limited energy storage, we expect to maximize the peak-demand…

Systems and Control · Electrical Eng. & Systems 2021-08-25 Yanfang Mo , Qiulin Lin , Minghua Chen , Si-Zhao Joe Qin

We study a competitive online optimization problem with multiple inventories. In the problem, an online decision maker seeks to optimize the allocation of multiple capacity-limited inventories over a slotted horizon, while the allocation…

Performance · Computer Science 2022-02-08 Qiulin Lin , Yanfang Mo , Junyan Su , Minghua Chen

We study a demand response problem from utility (also referred to as operator)'s perspective with realistic settings, in which the utility faces uncertainty and limited communication. Specifically, the utility does not know the cost…

Optimization and Control · Mathematics 2017-08-11 Pan Li , Hao Wang , Baosen Zhang

We introduce the Online Unbounded Knapsack Problem with Removal, a variation of the well-known Online Knapsack Problem. Items, each with a weight and value, arrive online and an algorithm must decide on whether or not to pack them into a…

Data Structures and Algorithms · Computer Science 2025-09-29 Matthias Gehnen , Moritz Stocker

The distributed optimization problem has become increasingly relevant recently. It has a lot of advantages such as processing a large amount of data in less time compared to non-distributed methods. However, most distributed approaches…

Optimization and Control · Mathematics 2024-03-27 Daniil Medyakov , Gleb Molodtsov , Aleksandr Beznosikov , Alexander Gasnikov

We consider a parallel system of $m$ identical machines prone to unpredictable crashes and restarts, trying to cope with the continuous arrival of tasks to be executed. Tasks have different computational requirements (i.e., processing time…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-21 Elli Zavou , Antonio Fernández Anta

The integration of intermittent and stochastic renewable energy resources requires increased flexibility in the operation of the electric grid. Storage, broadly speaking, provides the flexibility of shifting energy over time; network, on…

Optimization and Control · Mathematics 2014-11-05 Junjie Qin , Yinlam Chow , Jiyan Yang , Ram Rajagopal

Electricity cost is a dominant and rapidly growing expense in data centers. Unfortunately, much of the consumed energy is wasted because servers are idle for extended periods of time. We study a capacity management problem that dynamically…

Data Structures and Algorithms · Computer Science 2021-08-02 Susanne Albers , Jens Quedenfeld

We consider the optimal online packet scheduling problem in a single-user energy harvesting wireless communication system, where energy is harvested from natural renewable sources, making future energy arrivals instants and amounts random…

Information Theory · Computer Science 2012-11-22 Rahul Vaze

This paper presents a distributed optimization scheme over a network of agents in the presence of cost uncertainties and over switching communication topologies. Inspired by recent advances in distributed convex optimization, we propose a…

Optimization and Control · Mathematics 2016-11-15 Saghar Hosseini , Airlie Chapman , Mehran Mesbahi

We revisit the online Unit Covering problem in higher dimensions: Given a set of $n$ points in $\mathbb{R}^d$, that arrive one by one, cover the points by balls of unit radius, so as to minimize the number of balls used. In this paper, we…

Computational Geometry · Computer Science 2018-08-29 Adrian Dumitrescu , Anirban Ghosh , Csaba D. Tóth

One of the primary objectives of a distributed storage system is to reliably store large amounts of source data for long durations using a large number $N$ of unreliable storage nodes, each with $c$ bits of storage capacity. Storage nodes…

Information Theory · Computer Science 2021-01-14 Michael Luby , Thomas Richardson

We study a fundamental model of online preference aggregation, where an algorithm maintains an ordered list of $n$ elements. An input is a stream of preferred sets $R_1, R_2, \dots, R_t, \dots$. Upon seeing $R_t$ and without knowledge of…

Data Structures and Algorithms · Computer Science 2023-03-28 Marcin Bienkowski , Marcin Mucha

We present prior robust algorithms for a large class of resource allocation problems where requests arrive one-by-one (online), drawn independently from an unknown distribution at every step. We design a single algorithm that, for every…

Data Structures and Algorithms · Computer Science 2019-03-12 Nikhil R. Devanur , Kamal Jain , Balasubramanian Sivan , Christopher A. Wilkens

We consider the problem of online allocation (matching and assortments) of reusable resources where customers arrive sequentially in an adversarial fashion and allocated resources are used or rented for a stochastic duration that is drawn…

Data Structures and Algorithms · Computer Science 2022-07-20 Vineet Goyal , Garud Iyengar , Rajan Udwani
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