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We study the online preemptive scheduling of intervals and jobs (with restarts). Each interval or job has an arrival time, a deadline, a length and a weight. The objective is to maximize the total weight of completed intervals or jobs.…

Data Structures and Algorithms · Computer Science 2012-04-16 Stanley P. Y. Fung , Chung Keung Poon , Feifeng Zheng

Modern data centers face a key challenge of effectively serving user requests that arrive online. Such requests are inherently multi-dimensional and characterized by demand vectors over multiple resources such as processor cycles, storage…

Data Structures and Algorithms · Computer Science 2015-08-19 Sungjin Im , Nathaniel Kell , Janardhan Kulkarni , Debmalya Panigrahi

In the open online dial-a-ride problem, a single server has to deliver transportation requests appearing over time in some metric space, subject to minimizing the completion time. We improve on the best known upper bounds on the competitive…

Data Structures and Algorithms · Computer Science 2023-05-23 Julia Baligacs , Yann Disser , Farehe Soheil , David Weckbecker

In the load balancing problem, introduced by Graham in the 1960s (SIAM J. of Appl. Math. 1966, 1969), jobs arriving online have to be assigned to machines so to minimize an objective defined on machine loads. A long line of work has…

Data Structures and Algorithms · Computer Science 2017-10-02 Sungjin Im , Nathaniel Kell , Debmalya Panigrahi , Maryam Shadloo

We study the online busy time scheduling model on heterogeneous machines. In our setting, jobs with uniform length arrive online with a deadline that becomes known to the algorithm at the job's arrival time. An algorithm has access to…

Data Structures and Algorithms · Computer Science 2026-03-09 Gruia Calinescu , Sami Davies , Samir Khuller , Shirley Zhang

Though competitive analysis has been a very useful performance measure for the quality of online algorithms, it is recognized that it sometimes fails to distinguish between algorithms of different quality in practice. A number of…

Data Structures and Algorithms · Computer Science 2015-03-19 Joan Boyar , Kim S. Larsen , Abyayananda Maiti

We consider the classic problem of scheduling jobs with precedence constraints on identical machines to minimize makespan, in the presence of communication delays. In this setting, denoted by $\mathsf{P} \mid \mathsf{prec}, c \mid…

Data Structures and Algorithms · Computer Science 2020-04-22 Sami Davies , Janardhan Kulkarni , Thomas Rothvoss , Jakub Tarnawski , Yihao Zhang

We consider the online scheduling problem of moldable task graphs on multiprocessor systems for minimizing the overall completion time (or makespan). Moldable job scheduling has been widely studied in the literature, in particular when…

Data Structures and Algorithms · Computer Science 2023-04-28 Lucas Perotin , Hongyang Sun

In ranking competitions, document authors compete for the highest rankings by modifying their content in response to past rankings. Previous studies focused on human participants, primarily students, in controlled settings. The rise of…

Information Retrieval · Computer Science 2025-02-18 Tommy Mordo , Tomer Kordonsky , Haya Nachimovsky , Moshe Tennenholtz , Oren Kurland

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

We consider a scheduling problem where machines need to be rented from the cloud in order to process jobs. There are two types of machines available which can be rented for machine-type dependent prices and for arbitrary durations. However,…

Data Structures and Algorithms · Computer Science 2016-12-22 Alexander Mäcker , Manuel Malatyali , Friedhelm Meyer auf der Heide , Sören Riechers

Algorithms with predictions is a recent framework that has been used to overcome pessimistic worst-case bounds in incomplete information settings. In the context of scheduling, very recent work has leveraged machine-learned predictions to…

Data Structures and Algorithms · Computer Science 2022-12-08 Eric Balkanski , Tingting Ou , Clifford Stein , Hao-Ting Wei

This work studies online scheduling algorithms for buffer management, develops new algorithms, and analyzes their performances. Packets arrive at a release time r, with a non-negative weight w and an integer deadline d. At each time step,…

Data Structures and Algorithms · Computer Science 2025-11-21 Nourhan Sakr , Cliff Stein

We consider non-clairvoyant scheduling with online precedence constraints, where an algorithm is oblivious to any job dependencies and learns about a job only if all of its predecessors have been completed. Given strong impossibility…

Data Structures and Algorithms · Computer Science 2023-01-31 Alexandra Lassota , Alexander Lindermayr , Nicole Megow , Jens Schlöter

Competitive analysis of online algorithms has commonly been applied to understand the behaviour of real-time systems during overload conditions. While competitive analysis provides insight into the behaviour of certain algorithms, it is…

Performance · Computer Science 2018-06-06 Sathish Gopalakrishnan

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

Motivated by applications in energy-efficient scheduling in data centers, Khuller, Li, and Saha introduced the {\em machine activation} problem as a generalization of the classical optimization problems of set cover and load balancing on…

Data Structures and Algorithms · Computer Science 2012-03-22 Yossi Azar , Debmalya Panigrahi

Makespan minimization on parallel identical machines is a classical and intensively studied problem in scheduling, and a classic example for online algorithm analysis with Graham's famous list scheduling algorithm dating back to the 1960s.…

Data Structures and Algorithms · Computer Science 2022-01-14 Leah Epstein , Alexandra Lassota , Asaf Levin , Marten Maack , Lars Rohwedder

The job shop scheduling problem (JSSP) remains a significant hurdle in optimizing production processes. This challenge involves efficiently allocating jobs to a limited number of machines while minimizing factors like total processing time…

Artificial Intelligence · Computer Science 2024-08-14 Henrik Abgaryan , Ararat Harutyunyan , Tristan Cazenave

We study the online scheduling problem where the machines need to be calibrated before processing any jobs. To calibrate a machine, it will take $\lambda$ time steps as the activation time, and then the machine will remain calibrated status…

Data Structures and Algorithms · Computer Science 2022-02-18 Zuzhi Chen , Jialin Zhang