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We investigate deterministic non-preemptive online scheduling with delayed commitment for total completion time minimization on parallel identical machines. In this problem, jobs arrive one-by-one and their processing times are revealed…

Data Structures and Algorithms · Computer Science 2022-07-19 Uwe Schwiegelshohn

We consider the following fundamental routing problem. An adversary inputs packets arbitrarily at sources, each packet with an arbitrary destination. Traffic is constrained by link capacities and buffer sizes, and packets may be dropped at…

Data Structures and Algorithms · Computer Science 2015-01-27 Guy Even , Moti Medina , Boaz Patt-Shamir

Makespan minimization on identical parallel machines is a classical scheduling problem. We consider the online scenario where a sequence of $n$ jobs has to be scheduled non-preemptively on $m$ machines so as to minimize the maximum…

Data Structures and Algorithms · Computer Science 2012-03-09 Susanne Albers , Matthias Hellwig

We consider the traffic assignment problem in nonatomic routing games where the players' cost functions may be subject to random fluctuations (e.g., weather disturbances, perturbations in the underlying network, etc.). We tackle this…

Computer Science and Game Theory · Computer Science 2022-01-11 Dong Quan Vu , Kimon Antonakopoulos , Panayotis Mertikopoulos

The online bisection problem requires maintaining a dynamic partition of $n$ nodes into two equal-sized clusters. Requests arrive sequentially as node pairs. If the nodes lie in different clusters, the algorithm pays unit cost. After each…

Data Structures and Algorithms · Computer Science 2026-02-12 Mateusz Basiak , Marcin Bienkowski , Guy Even , Agnieszka Tatarczuk

Motivated by fairness requirements in communication networks, we introduce a natural variant of the online paging problem, called \textit{min-max} paging, where the objective is to minimize the maximum number of faults on any page. While…

Data Structures and Algorithms · Computer Science 2022-12-07 Ashish Chiplunkar , Monika Henzinger , Sagar Sudhir Kale , Maximilian Vötsch

In this paper, we study an optimal online resource reservation problem in a simple communication network. The network is composed of two compute nodes linked by a local communication link. The system operates in discrete time; at each time…

Optimization and Control · Mathematics 2024-04-04 Ahmed Sid-Ali , Ioannis Lambadaris , Yiqiang Q. Zhao , Gennady Shaikhet , Shima Kheradmand

A frequently studied performance measure in online optimization is competitive analysis. It corresponds to the worst-case ratio, over all possible inputs of an algorithm, between the performance of the algorithm and the optimal offline…

Optimization and Control · Mathematics 2024-05-30 Antoine Lhomme , Nicolas Catusse , Nadia Brauner

We introduce a new rounding technique designed for online optimization problems, which is related to contention resolution schemes, a technique initially introduced in the context of submodular function maximization. Our rounding technique,…

Data Structures and Algorithms · Computer Science 2015-10-15 Moran Feldman , Ola Svensson , Rico Zenklusen

We consider the online bin packing problem under the advice complexity model where the 'online constraint' is relaxed and an algorithm receives partial information about the future requests. We provide tight upper and lower bounds for the…

Data Structures and Algorithms · Computer Science 2013-12-24 Joan Boyar , Shahin Kamali , Kim S. Larsen , Alejandro López-Ortiz

This paper considers distributed online convex optimization with adversarial constraints. In this setting, a network of agents makes decisions at each round, and then only a portion of the loss function and a coordinate block of the…

Optimization and Control · Mathematics 2023-06-02 Xinlei Yi , Xiuxian Li , Tao Yang , Lihua Xie , Yiguang Hong , Tianyou Chai , Karl H. Johansson

Consider a transportation problem with sets of sources and sinks. There are profits and prices on the edges. The goal is to maximize the profit while meeting the following constraints; the total flow going out of a source must not exceed…

Data Structures and Algorithms · Computer Science 2013-02-26 S. Kapoor , M. Sarwat

We consider some flow-time minimization problems in the unrelated machines setting. In this setting, there is a set of $m$ machines and a set of $n$ jobs, and each job $j$ has a machine dependent processing time of $p_{ij}$ on machine $i$.…

Data Structures and Algorithms · Computer Science 2015-06-11 Nikhil Bansal , Janardhan Kulkarni

In the model of online caching with machine learned advice, introduced by Lykouris and Vassilvitskii, the goal is to solve the caching problem with an online algorithm that has access to next-arrival predictions: when each input element…

Data Structures and Algorithms · Computer Science 2019-10-31 Dhruv Rohatgi

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

Mobile edge computing (a.k.a. fog computing) has recently emerged to enable in-situ processing of delay-sensitive applications at the edge of mobile networks. Providing grid power supply in support of mobile edge computing, however, is…

Machine Learning · Computer Science 2017-03-20 Jie Xu , Lixing Chen , Shaolei Ren

Algorithmic recourse aims to provide actionable recommendations to individuals to obtain a more favourable outcome from an automated decision-making system. As it involves reasoning about interventions performed in the physical world,…

Machine Learning · Statistics 2021-06-23 Julius von Kügelgen , Nikita Agarwal , Jakob Zeitler , Afsaneh Mastouri , Bernhard Schölkopf

We analyze the competitive ratio and the advice complexity of the online unbounded knapsack problem. An instance is given as a sequence of n items with a size and a value each, and an algorithm has to decide how often to pack each item into…

Data Structures and Algorithms · Computer Science 2024-11-01 Hans-Joachim Böckenhauer , Matthias Gehnen , Juraj Hromkovič , Ralf Klasing , Dennis Komm , Henri Lotze , Daniel Mock , Peter Rossmanith , Moritz Stocker

A natural variant of the classical online $k$-server problem is the Weighted $k$-server problem, where the cost of moving a server is its weight times the distance through which it moves. Despite its apparent simplicity, the weighted…

Data Structures and Algorithms · Computer Science 2024-10-10 Nikhil Ayyadevara , Ashish Chiplunkar , Amatya Sharma

Online Active Learning (OAL) aims to manage unlabeled datastream by selectively querying the label of data. OAL is applicable to many real-world problems, such as anomaly detection in health-care and finance. In these problems, there are…

Machine Learning · Computer Science 2019-11-19 Yifan Zhang , Peilin Zhao , Shuaicheng Niu , Qingyao Wu , Jiezhang Cao , Junzhou Huang , Mingkui Tan