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In this paper we present a discrete data structure for reservations of limited resources. A reservation is defined as a tuple consisting of the time interval of when the resource should be reserved, $I_R$, and the amount of the resource…

Data Structures and Algorithms · Computer Science 2007-05-23 Andrej Brodnik , Andreas Nilsson

This paper describes the most efficient way to manage operations on ranges of elements within an ordered set. The goal is to improve existing solutions, by optimizing the average-case time complexity and getting rid of heavy multiplicative…

Data Structures and Algorithms · Computer Science 2021-10-18 Alberto Boffi

We consider a natural scheduling problem which arises in many distributed computing frameworks. Jobs with diverse resource requirements (e.g. memory requirements) arrive over time and must be served by a cluster of servers, each with a…

Networking and Internet Architecture · Computer Science 2019-01-21 Konstantinos Psychas , Javad Ghaderi

The "ordered set" abstract data type with operations "insert", "erase", "find", "min", "max", "next" and "prev" is ubiquitous in computer science. It is usually implemented with red-black trees, $B$-trees, or $B^+$-trees. We present our…

Data Structures and Algorithms · Computer Science 2025-06-18 Viktor Krapivensky

Tree-based data structures are ubiquitous across applications. Therefore, a multitude of different tree implementations exist. However, while these implementations are diverse, they share a tree structure as the underlying data structure.…

Hardware Architecture · Computer Science 2025-01-30 Daniel Biebert , Christian Hakert , Jian-Jia Chen

Data intensive applications on clusters often require requests quickly be sent to the node managing the desired data. In many applications, one must look through a sorted tree structure to determine the responsible node for accessing or…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Xiaoqin Ma , Gene Cooperman

Concurrent data structures serve as fundamental building blocks for concurrent computing. Many concurrent counterparts have been designed for basic sequential mechanisms; however, one notable omission is a concurrent tree that supports…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-14 Gal Sela , Erez Petrank

Distributed computing systems implement redundancy to reduce the job completion time and variability. Despite a large body of work about computing redundancy, the analytical performance evaluation of redundancy techniques in queuing systems…

Information Theory · Computer Science 2022-01-05 Amir Behrouzi-Far , Emina Soljanin

Data structures used in software development have inbuilt redundancy to improve software reliability and to speed up performance. Examples include a Doubly Linked List which allows a faster deletion due to the presence of the previous…

Databases · Computer Science 2025-08-05 Pratyush Mahapatra , Mark D. Hill , Michael M. Swift

Nowadays, data-centers are largely under-utilized because resource allocation is based on reservation mechanisms which ignore actual resource utilization. Indeed, it is common to reserve resources for peak demand, which may occur only for a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-03 Francesco Pace , Dimitrios Milios , Damiano Carra , Daniele Venzano , Pietro Michiardi

In the past few years, we have envisioned an increasing number of businesses start driving by big data analytics, such as Amazon recommendations and Google Advertisements. At the back-end side, the businesses are powered by big data…

Performance · Computer Science 2021-10-26 Ying Mao , Victoria Green , Jiayin Wang , Haoyi Xiong , Zhishan Guo

Temporal graphs represent interactions between entities over time. Deciding whether entities can reach each other through temporal paths is useful for various applications such as in communication networks and epidemiology. Previous works…

Data Structures and Algorithms · Computer Science 2023-08-24 Luiz Fernando Afra Brito , Marcelo Keese Albertini , Bruno Augusto Nassif Travençolo , Gonzalo Navarro

The paper presents a technique for constructing noisy data structures called a walking tree. We apply it for a Red-Black tree (an implementation of a Self-Balanced Binary Search Tree) and a segment tree. We obtain the same complexity of the…

Quantum Physics · Physics 2023-05-16 Kamil Khadiev , Nikita Savelyev , Mansur Ziatdinov , Denis Melnikov

Although High Performance Computing (HPC) users understand basic resource requirements such as the number of CPUs and memory limits, internal infrastructural utilization data is exclusively leveraged by cluster operators, who use it to…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-19 Abel Souza , Kristiaan Pelckmans , Johan Tordsson

Scheduling is essentially a decision-making process that enables resource sharing among a number of activities by determining their execution order on the set of available resources. The emergence of distributed systems brought new…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-11 Luiz F. Bittencourt , Alfredo Goldman , Edmundo R. M. Madeira , Nelson L. S. da Fonseca , Rizos Sakellariou

Motivated by an application in computational topology, we consider a novel variant of the problem of efficiently maintaining dynamic rooted trees. This variant requires merging two paths in a single operation. In contrast to the standard…

Data Structures and Algorithms · Computer Science 2007-11-13 Loukas Georgiadis , Haim Kaplan , Nira Shafrir , Robert E. Tarjan , Renato F. Werneck

Several systems possess the flexibility to serve requests in more than one way. For instance, a distributed storage system storing multiple replicas of the data can serve a request from any of the multiple servers that store the requested…

Networking and Internet Architecture · Computer Science 2013-11-13 Nihar B. Shah , Kangwook Lee , Kannan Ramchandran

Information, stored or transmitted in digital form, is often structured. Individual data records are usually represented as hierarchies of their elements. Together, records form larger structures. Information processing applications have to…

Computation and Language · Computer Science 2007-05-23 Nikita Schmidt , Ahmed Patel

Datacenters act as cloud-infrastructure to stakeholders across industry, government, and academia. To meet growing demand yet operate efficiently, datacenter operators employ increasingly more sophisticated scheduling systems, mechanisms,…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-14 Georgios Andreadis , Laurens Versluis , Fabian Mastenbroek , Alexandru Iosup

Advance reservation is important to guarantee the quality of services of jobs by allowing exclusive access to resources over a defined time interval on resources. It is a challenge for the scheduler to organize available resources…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-06 Bo Li , Yijian Pei , Bin Shen , Hao Wu , Min He , Jundong Yang
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