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In the online bin packing problem, items of sizes in (0,1] arrive online to be packed into bins of size 1. The goal is to minimize the number of used bins. In this paper, we present an online bin packing algorithm with asymptotic…

Data Structures and Algorithms · Computer Science 2018-06-29 Sandy Heydrich , Rob van Stee

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

We study online competitive algorithms for the \emph{line chasing problem} in Euclidean spaces $\reals^d$, where the input consists of an initial point $P_0$ and a sequence of lines $X_1,X_2,...,X_m$, revealed one at a time. At each step…

Data Structures and Algorithms · Computer Science 2019-09-23 Marcin Bienkowski , Jarosław Byrka , Marek Chrobak , Christian Coester , Łukasz Jeż , Elias Koutsoupias

We consider a variant of the online buffer management problem in network switches, called the $k$-frame throughput maximization problem ($k$-FTM). This problem models the situation where a large frame is fragmented into $k$ packets and…

Data Structures and Algorithms · Computer Science 2013-09-23 Jun Kawahara , Koji M. Kobayashi , Shuichi Miyazaki

This paper introduces an effective memetic algorithm for the linear ordering problem with cumulative costs. The proposed algorithm combines an order-based recombination operator with an improved forward-backward local search procedure and…

Neural and Evolutionary Computing · Computer Science 2014-05-20 Tao Ye , Kan Zhou , Zhipeng Lu , Jin-Kao Hao

We explore the machine-minimizing job scheduling problem, which has a rich history in the line of research, under an online setting. We consider systems with arbitrary job arrival times, arbitrary job deadlines, and unit job execution time.…

Data Structures and Algorithms · Computer Science 2013-09-24 Mong-Jen Kao , Jian-Jia Chen , Ignaz Rutter , Dorothea Wagner

In Packet Scheduling with Adversarial Jamming packets of arbitrary sizes arrive over time to be transmitted over a channel in which instantaneous jamming errors occur at times chosen by the adversary and not known to the algorithm. The…

Data Structures and Algorithms · Computer Science 2018-08-07 Martin Böhm , Łukasz Jeż , Jiří Sgall , Pavel Veselý

In the online simple knapsack problem items are presented in an iterative fashion and an algorithm has to decide for each item whether to reject or permanently include it into the knapsack without any knowledge about the rest of the…

Data Structures and Algorithms · Computer Science 2022-02-07 Hans-Joachim Boeckenhauer , Elisabet Burjons , Fabian Frei , Juraj Hromkovic , Henri Lotze , Peter Rossmanith

An experimental comparison of two or more optimization algorithms requires the same computational resources to be assigned to each algorithm. When a maximum runtime is set as the stopping criterion, all algorithms need to be executed in the…

Performance · Computer Science 2024-02-09 Etor Arza , Josu Ceberio , Ekhiñe Irurozki , Aritz Pérez

We consider an online version of the well-studied network utility maximization problem, where users arrive one by one and an operator makes irrevocable decisions for each user without knowing the details of future arrivals. We propose a…

Data Structures and Algorithms · Computer Science 2021-01-27 Ying Cao , Bo Sun , Danny H. K. Tsang

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

The Joint Replenishment Problem (JRP) deals with optimizing shipments of goods from a supplier to retailers through a shared warehouse. Each shipment involves transporting goods from the supplier to the warehouse, at a fixed cost C,…

Data Structures and Algorithms · Computer Science 2013-07-10 Marcin Bienkowski , Jaroslaw Byrka , Marek Chrobak , Łukasz Jeż , Jiří Sgall

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

In this work, we study online submodular maximization, and how the requirement of maintaining a stable solution impacts the approximation. In particular, we seek bounds on the best-possible approximation ratio that is attainable when the…

Data Structures and Algorithms · Computer Science 2024-12-04 Paul Dütting , Federico Fusco , Silvio Lattanzi , Ashkan Norouzi-Fard , Ola Svensson , Morteza Zadimoghaddam

Makespan minimization on identical machines is a fundamental problem in online scheduling. The goal is to assign a sequence of jobs to $m$ identical parallel machines so as to minimize the maximum completion time of any job. Already in the…

Data Structures and Algorithms · Computer Science 2021-10-28 Susanne Albers , Maximilian Janke

We consider online procurement auctions, where the agents arrive sequentially, in random order, and have private costs for their services. The buyer aims to maximize a monotone submodular value function for the subset of agents whose…

Computer Science and Game Theory · Computer Science 2025-04-15 Andreas Charalampopoulos , Dimitris Fotakis , Panagiotis Patsilinakos , Thanos Tolias

We consider the online stochastic matching problem proposed by Feldman et al. [FMMM09] as a model of display ad allocation. We are given a bipartite graph; one side of the graph corresponds to a fixed set of bins and the other side…

Data Structures and Algorithms · Computer Science 2011-08-03 Vahideh H. Manshadi , Shayan Oveis Gharan , Amin Saberi

We study \emph{parallel} online algorithms: For some fixed integer $k$, a collective of $k$ parallel processes that perform online decisions on the same sequence of events forms a $k$-\emph{copy algorithm}. For any given time and input…

Data Structures and Algorithms · Computer Science 2019-10-09 Sándor P. Fekete , Jonas Grosse-Holz , Phillip Keldenich , Arne Schmidt

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

Posted price mechanisms are prevalent in allocating goods within online marketplaces due to their simplicity and practical efficiency. We explore a fundamental scenario where buyers' valuations are independent and identically distributed,…

Computer Science and Game Theory · Computer Science 2025-05-26 José Correa , Vasilis Livanos , Dana Pizarro , Victor Verdugo