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As foundation models grow in size, fine-tuning them becomes increasingly expensive. While GPU spot instances offer a low-cost alternative to on-demand resources, their volatile prices and availability make deadline-aware scheduling…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-25 Linggao Kong , Yuedong Xu , Lei Jiao , Chuan Xu

We consider online algorithms under both the competitive ratio criteria and the regret minimization one. Our main goal is to build a unified methodology that would be able to guarantee both criteria simultaneously. For a general class of…

Machine Learning · Computer Science 2019-04-09 Amit Daniely , Yishay Mansour

We consider the problem of online service with delay on a general metric space, first presented by Azar, Ganesh, Ge and Panigrahi (STOC 2017). The best known randomized algorithm for this problem, by Azar and Touitou (FOCS 2019), is…

Data Structures and Algorithms · Computer Science 2023-06-12 Noam Touitou

This paper provides three nearly-optimal algorithms for scheduling $t$ jobs in the $\mathsf{CLIQUE}$ model. First, we present a deterministic scheduling algorithm that runs in $O(\mathsf{GlobalCongestion} + \mathsf{dilation})$ rounds for…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-16 Keren Censor-Hillel , Yannic Maus , Volodymyr Polosukhin

This paper is the first to consider online algorithms to schedule a proportionate flexible flow shop of batching machines (PFFB). The scheduling model is motivated by manufacturing processes of individualized medicaments, which are used in…

Data Structures and Algorithms · Computer Science 2024-07-18 Christoph Hertrich , Christian Weiß , Heiner Ackermann , Sandy Heydrich , Sven O. Krumke

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 online scheduling weighted packets with time constraints over a fading channel. Packets arrive at the transmitter in an online manner. Each packet has a value and a deadline by which it should be sent. The fade state of the…

Information Theory · Computer Science 2009-09-30 Fei Li , Zhi Zhang

Though competitive analysis is often a very good tool for the analysis of online algorithms, sometimes it does not give any insight and sometimes it gives counter-intuitive results. Much work has gone into exploring other performance…

Data Structures and Algorithms · Computer Science 2017-06-14 Joan Boyar , Leah Epstein , Lene M. Favrholdt , Kim S. Larsen , Asaf Levin

We discuss one of the most fundamental scheduling problem of processing jobs on a single machine to minimize the weighted flow time (weighted response time). Our main result is a $O(\log P)$-competitive algorithm, where $P$ is the…

Data Structures and Algorithms · Computer Science 2018-08-17 Yossi Azar , Noam Touitou

The knowledge of future partial information in the form of a lookahead to design efficient online algorithms is a theoretically-efficient and realistic approach to solving computational problems. Design and analysis of semi-online…

Data Structures and Algorithms · Computer Science 2023-06-12 Debasis Dwibedy , Rakesh Mohanty

We consider online scheduling on multiple machines for jobs arriving one-by-one with the objective of minimizing the makespan. For any number of identical parallel or uniformly related machines, we provide a competitive-ratio approximation…

Data Structures and Algorithms · Computer Science 2013-03-11 Nicole Megow , Andreas Wiese

In the online hypergraph matching problem, hyperedges of size $k$ over a common ground set arrive online in adversarial order. The goal is to obtain a maximum matching (disjoint set of hyperedges). A na\"ive greedy algorithm for this…

Data Structures and Algorithms · Computer Science 2024-02-15 Thorben Tröbst , Rajan Udwani

In the One-Fast-Many-Slow decision problem, introduced by Sheffield and Westover (ITCS '25), a scheduler, with access to one fast machine and infinitely many slow machines, receives a series of tasks and must allocate the work among its…

Data Structures and Algorithms · Computer Science 2026-02-26 John Jeang , Vladimir Podolskii

This paper combines two key ingredients for online algorithms - competitive analysis (e.g. the competitive ratio) and advice complexity (e.g. the number of advice bits needed to improve online decisions) - in the context of a simple online…

Computer Science and Game Theory · Computer Science 2020-06-30 Martin Aleksandrov , Toby Walsh

We introduce a new measure for the performance of online algorithms in Bayesian settings, where the input is drawn from a known prior, but the realizations are revealed one-by-one in an online fashion. Our new measure is called…

Computer Science and Game Theory · Computer Science 2022-11-07 Tomer Ezra , Michal Feldman , Nick Gravin , Zhihao Gavin Tang

The online assignment problem plays an important role in operational research and computer science which is why immense attention has been given to improving its solution quality. Due to the incomplete information about the input, it is…

Computational Complexity · Computer Science 2022-08-09 Clarence Gabriel R. Kasilag , Pollux M. Rey , Jhoirene B. Clemente

We consider a multi-organizational system in which each organization contributes processors to the global pool but also jobs to be processed on the common resources. The fairness of the scheduling algorithm is essential for the stability…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-23 Piotr Skowron , Krzysztof Rzadca

The problem of online packet scheduling to minimize the required conventional grid energy for transmitting a fixed number of packets given a common deadline is considered. The total number of packets arriving within the deadline is known,…

Information Theory · Computer Science 2016-02-05 Aditya Deshmukh , Rahul Vaze

We consider the problem of online allocation (matching, budgeted allocations, and assortments) of reusable resources where an adversarial sequence of resource requests is revealed over time and any allocated resource is used/rented for a…

Data Structures and Algorithms · Computer Science 2024-09-17 Vineet Goyal , Garud Iyengar , Rajan Udwani

We prove new lower bounds for suitable competitive ratio measures of two relaxed online packing problems: online removable multiple knapsack, and a recently introduced online minimum peak appointment scheduling problem. The high level…

Data Structures and Algorithms · Computer Science 2022-01-19 János Balogh , György Dósa , Leah Epstein , Łukasz Jeż
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