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We consider the online machine minimization problem in which jobs with hard deadlines arrive online over time at their release dates. The task is to determine a feasible schedule on a minimum number of machines. Our main result is a general…

Data Structures and Algorithms · Computer Science 2015-06-19 Lin Chen , Nicole Megow , Kevin Schewior

In this paper, we study twelve stochastic input models for online problems and reveal the relationships among the competitive ratios for the models. The competitive ratio is defined as the worst ratio between the expected optimal value and…

Data Structures and Algorithms · Computer Science 2017-09-25 Yasushi Kawase

In the online metric bipartite matching problem, we are given a set $S$ of server locations in a metric space. Requests arrive one at a time, and on its arrival, we need to immediately and irrevocably match it to a server at a cost which is…

Computational Geometry · Computer Science 2018-03-21 Sharath Raghvendra

We consider the following scheduling problem. There is a single machine and the jobs will arrive for completion online. Each job j is preemptive and, upon its arrival, its other characteristics are immediately revealed to the machine: the…

Data Structures and Algorithms · Computer Science 2015-09-14 Patrick Loiseau , Xiaohu Wu

In this paper, we investigate the online allocation problem of maximizing the overall revenue subject to both lower and upper bound constraints. Compared to the extensively studied online problems with only resource upper bounds, the…

Machine Learning · Computer Science 2023-01-31 Qixin Zhang , Wenbing Ye , Zaiyi Chen , Haoyuan Hu , Enhong Chen , Yang Yu

We consider the List Update problem where the cost of each swap is assumed to be 1. This is in contrast to the ``standard'' model, in which an algorithm is allowed to swap the requested item with previous items for free. We construct an…

Data Structures and Algorithms · Computer Science 2025-08-11 Mateusz Basiak , Marcin Bienkowski , Martin Böhm , Marek Chrobak , Łukasz Jeż , Jiří Sgall , Agnieszka Tatarczuk

We study web and mobile applications that are used to schedule advance service, from medical appointments to restaurant reservations. We model them as online weighted bipartite matching problems with non-stationary arrivals. We propose new…

Optimization and Control · Mathematics 2018-05-29 Xinshang Wang , Van-Anh Truong , David Bank

Online matching has received significant attention over the last 15 years due to its close connection to Internet advertising. As the seminal work of Karp, Vazirani, and Vazirani has an optimal (1 - 1/e) competitive ratio in the standard…

Data Structures and Algorithms · Computer Science 2019-07-24 Brian Brubach , Karthik Abinav Sankararaman , Aravind Srinivasan , Pan Xu

This paper considers a variant of the online paging problem, where the online algorithm has access to multiple predictors, each producing a sequence of predictions for the page arrival times. The predictors may have occasional prediction…

Data Structures and Algorithms · Computer Science 2020-11-20 Yuval Emek , Shay Kutten , Yangguang Shi

We study online optimization in a setting where an online learner seeks to optimize a per-round hitting cost, which may be non-convex, while incurring a movement cost when changing actions between rounds. We ask: \textit{under what general…

Machine Learning · Computer Science 2020-01-27 Yiheng Lin , Gautam Goel , Adam Wierman

In this paper we consider several related online computation problems. First, we study answering sequences of statistical queries arriving online, and being answered immediately when they arrive with differential privacy. Known matrix…

Data Structures and Algorithms · Computer Science 2026-05-12 Aleksandar Nikolov , Haohua Tang , Jonathan Ullman

In this paper, we propose an online-matching-based model to study the assignment problems arising in a wide range of online-matching markets, including online recommendations, ride-hailing platforms, and crowdsourcing markets. It features…

Computer Science and Game Theory · Computer Science 2022-09-19 Pan Xu

We extend the Mobile Server Problem, introduced in SPAA'17, to a model where k identical mobile resources, here named servers, answer requests appearing at points in the Euclidean space. In order to reduce communication costs, the positions…

Data Structures and Algorithms · Computer Science 2019-07-24 Björn Feldkord , Till Knollmann , Manuel Malatyali , Friedhelm Meyer auf der Heide

The online knapsack problem is a classic online resource allocation problem in networking and operations research. Its basic version studies how to pack online arriving items of different sizes and values into a capacity-limited knapsack.…

Data Structures and Algorithms · Computer Science 2023-03-16 Bo Sun , Lin Yang , Mohammad Hajiesmaili , Adam Wierman , John C. S. Lui , Don Towsley , Danny H. K. Tsang

Online algorithms are usually analyzed using the notion of competitive ratio which compares the solution obtained by the algorithm to that obtained by an online adversary for the worst possible input sequence. Often this measure turns out…

Data Structures and Algorithms · Computer Science 2014-10-08 Anamitra Roy Choudhury , Syamantak Das , Naveen Garg , Amit Kumar

Online algorithm is a well-known computational model. We introduce quantum online algorithms and investigate them with respect to a competitive ratio in two points of view: space complexity and advice complexity. We start with exploring a…

Computational Complexity · Computer Science 2017-09-26 Kamil Khadiev , Aliya Khadieva , Ilnaz Mannapov

In the Time-Windows TSP (TW-TSP) we are given requests at different locations on a network; each request is endowed with a reward and an interval of time; the goal is to find a tour that visits as much reward as possible during the…

Data Structures and Algorithms · Computer Science 2023-04-05 Shuchi Chawla , Dimitris Christou

Paging is a prototypical problem in the area of online algorithms. It has also played a central role in the development of learning-augmented algorithms -- a recent line of research that aims to ameliorate the shortcomings of classical…

Online optimization covers problems such as online resource allocation, online bipartite matching, adwords (a central problem in e-commerce and advertising), and adwords with separable concave returns. We analyze the worst case competitive…

Data Structures and Algorithms · Computer Science 2016-11-03 Reza Eghbali , Maryam Fazel

Suppose that $n$ items arrive online in random order and the goal is to select $k$ of them such that the expected sum of the selected items is maximized. The decision for any item is irrevocable and must be made on arrival without knowing…

Data Structures and Algorithms · Computer Science 2020-12-02 Susanne Albers , Leon Ladewig
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