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In this paper, we consider the multi-level aggregation problem with deadlines (MLAPD) previously studied by Bienkowski et al. (2015), Buchbinder et al. (2017), and Azar and Touitou (2019). This is an online problem where the algorithm…

Data Structures and Algorithms · Computer Science 2021-08-11 Jeremy McMahan

We study the online multi-level aggregation problem with deadlines (MLAP-D) introduced by Bienkowski et al. (ESA 2016, OR 2020). In this problem, requests arrive over time at the vertices of a given vertex-weighted tree, and each request…

Data Structures and Algorithms · Computer Science 2025-12-01 Alexander Turoczy , Young-San Lin

In the Multi-Level Aggregation Problem (MLAP), requests arrive at the nodes of an edge-weighted tree T, and have to be served eventually. A service is defined as a subtree X of T that contains its root. This subtree X serves all requests…

In this paper, we present a framework used to construct and analyze algorithms for online optimization problems with deadlines or with delay over a metric space. Using this framework, we present algorithms for several different problems. We…

Data Structures and Algorithms · Computer Science 2019-04-16 Yossi Azar , Noam Touitou

This paper presents a new research direction for online Multi-Level Aggregation (MLA) with delays. In this problem, we are given an edge-weighted rooted tree $T$, and we have to serve a sequence of requests arriving at its vertices in an…

Data Structures and Algorithms · Computer Science 2024-10-01 Mathieu Mari , Michał Pawłowski , Runtian Ren , Piotr Sankowski

The performance of many large-scale and data-intensive distributed systems critically depends on the capacity of the interconnecting network. This paper is motivated by the vision of self-adjusting infrastructures whose resources can be…

Data Structures and Algorithms · Computer Science 2023-04-21 Harald Räcke , Stefan Schmid , Ruslan Zabrodin

Emerging networked systems become increasingly flexible and reconfigurable. This introduces an opportunity to adjust networked systems in a demand-aware manner, leveraging spatial and temporal locality in the workload for online…

Data Structures and Algorithms · Computer Science 2019-05-08 Chen Avin , Ingo van Duijn , Stefan Schmid

Large Language Models (LLMs) are increasingly deployed in both latency-sensitive online services and cost-sensitive offline workloads. Co-locating these workloads on shared serving instances can improve resource utilization, but directly…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-01 Siyu Wu , Zihan Tang , Yuting Zeng , Hui Chen , Guiguang Ding , Tongxuan Liu , Ke Zhang , Hailong Yang

We consider online algorithms for the $k$-server problem on trees. There is a $k$-competitive algorithm for this problem, and it is the best competitive ratio. M. Chrobak and L. Larmore provided it. At the same time, the existing…

Data Structures and Algorithms · Computer Science 2022-05-02 Kamil Khadiev , Maxim Yagafarov

The paper investigates a version of the resource allocation problem arising in the wireless networking, namely in the OVSF code reallocation process. In this setting a complete binary tree of a given height $n$ is considered, together with…

In this paper, we investigate the online parcel assignment (OPA) problem, in which each stochastically generated parcel needs to be assigned to a candidate route for delivery to minimize the total cost subject to certain business…

Machine Learning · Computer Science 2023-01-18 Hao Zeng , Qiong Wu , Kunpeng Han , Junying He , Haoyuan Hu

There is a fundamental trade-off between the communication cost and latency in information aggregation. Aggregating multiple communication messages over time can alleviate overhead and improve energy efficiency on one hand, but inevitably…

Networking and Internet Architecture · Computer Science 2017-09-25 Chi-Kin Chau , Majid Khonji , Muhammad Aftab

We study the performance of a best reply algorithm for online resource allocation problems with a diseconomy of scale. In an online resource allocation problem, we are given a set of resources and a set of requests that arrive in an online…

Data Structures and Algorithms · Computer Science 2019-07-18 Max Klimm , Daniel Schmand , Andreas Tönnis

This paper studies an online cost optimization problem for distributed storage and access. The goal is to dynamically create and delete copies of data objects over time at geo-distributed servers to serve access requests and minimize the…

Data Structures and Algorithms · Computer Science 2025-10-29 Tianyu Zuo , Xueyan Tang , Bu Sung Lee , Jianfei Cai

Resource allocation in distributed and networked systems such as the Cloud is becoming increasingly flexible, allowing these systems to dynamically adjust toward the workloads they serve, in a demand-aware manner. Online balanced…

Data Structures and Algorithms · Computer Science 2024-10-24 Harald Räcke , Stefan Schmid , Ruslan Zabrodin

In the online metric matching problem, $n$ servers and $n$ requests lie in a metric space. Servers are available upfront, and requests arrive sequentially. An arriving request must be matched immediately and irrevocably to an available…

Data Structures and Algorithms · Computer Science 2026-04-22 Yingxi Li , Ellen Vitercik , Mingwei Yang

In deadline-constrained data aggregation in wireless sensor networks (WSNs), the imposed sink deadline along with the interference constraint hinders participation of all sensor nodes in data aggregation. Thus, exploiting the wisdom of the…

Networking and Internet Architecture · Computer Science 2014-08-01 Bahram Alinia , Mohammad H. Hajiesmaili , Ahmad Khonsari

We study the admission control problem in general networks. Communication requests arrive over time, and the online algorithm accepts or rejects each request while maintaining the capacity limitations of the network. The admission control…

Data Structures and Algorithms · Computer Science 2008-12-18 Noga Alon , Yossi Azar , Shai Gutner

Embeddings of graphs into distributions of trees that preserve distances in expectation are a cornerstone of many optimization algorithms. Unfortunately, online or dynamic algorithms which use these embeddings seem inherently randomized and…

Data Structures and Algorithms · Computer Science 2021-02-11 Bernhard Haeupler , D Ellis Hershkowitz , Goran Zuzic

A basic combinatorial online resource allocation problem is considered, where multiple servers have individual capacity constraints, and at each time slot, a set of jobs arrives, that have potentially different weights to different servers.…

Data Structures and Algorithms · Computer Science 2015-12-02 Ajil Jalal , Rahul Vaze , Umang Bhaskar
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