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We perform an experimental study of algorithms for online bipartite matching under the known i.i.d. input model with integral types. In the last decade, there has been substantial effort in designing complex algorithms with the goal of…

Data Structures and Algorithms · Computer Science 2018-08-16 Allan Borodin , Christodoulos Karavasilis , Denis Pankratov

Gracefully degrading algorithms [Biely \etal, TCS 2018] are designed to circumvent impossibility results in dynamic systems by adapting themselves to the dynamics. Indeed, such an algorithm solves a given problem under some dynamics and,…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-03 Marjorie Bournat , Swan Dubois , Franck Petit

We consider a system of $N$ servers inter-connected by some underlying graph topology $G_N$. Tasks arrive at the various servers as independent Poisson processes of rate $\lambda$. Each incoming task is irrevocably assigned to whichever…

Probability · Mathematics 2019-04-09 Debankur Mukherjee , Sem C. Borst , Johan S. H. van Leeuwaarden

We propose a Greedy strategy to solve the problem of Graph Cut, called GGC. It starts from the state where each data sample is regarded as a cluster and dynamically merges the two clusters which reduces the value of the global objective…

Machine Learning · Computer Science 2024-12-31 Feiping Nie , Shenfei Pei , Zengwei Zheng , Rong Wang , Xuelong Li

To efficiently manage serverless computing platforms, a key aspect is the auto-scaling of services, i.e., the set of computational resources allocated to a service adapts over time as a function of the traffic demand. The objective is to…

Optimization and Control · Mathematics 2025-02-13 Jonatha Anselmi , Bruno Gaujal , Louis-Sebastien Rebuffi

Dynamic affinity scheduling has been an open problem for nearly three decades. The problem is to dynamically schedule multi-type tasks to multi-skilled servers such that the resulting queueing system is both stable in the capacity region…

Performance · Computer Science 2019-01-15 Ali Yekkehkhany , Avesta Hojjati , Mohammad H Hajiesmaili

Random reshuffling, which randomly permutes the dataset each epoch, is widely adopted in model training because it yields faster convergence than with-replacement sampling. Recent studies indicate greedily chosen data orderings can further…

Machine Learning · Computer Science 2023-01-05 Yucheng Lu , Wentao Guo , Christopher De Sa

The prolonged service time at non-dedicated servers has been observed in [1]. Motivated by such real problems, we propose a stylized model which characterizes the feature of the prolonged service time at non-dedicated servers in an…

Performance · Computer Science 2021-03-02 Yanting Chen , Jingui Xie , Taozeng Zhu

We study the online load balancing problem on unrelated machines, with the objective of minimizing the square of the $\ell_2$ norm of the loads on the machines. The greedy algorithm of Awerbuch et al. (STOC'95) is optimal for deterministic…

Data Structures and Algorithms · Computer Science 2025-11-06 Sander Borst , Danish Kashaev

A fundamental challenge in large-scale cloud networks and data centers is to achieve highly efficient server utilization and limit energy consumption, while providing excellent user-perceived performance in the presence of uncertain and…

Probability · Mathematics 2017-06-23 Debankur Mukherjee , Souvik Dhara , Sem Borst , Johan S. H. van Leeuwaarden

In this paper we prove the efficacy of a simple greedy algorithm for a finite horizon online resource allocation/matching problem, when the corresponding static planning linear program (SPP) exhibits a non-degeneracy condition called the…

Data Structures and Algorithms · Computer Science 2022-07-26 Varun Gupta

For the classical maximum coverage problem, the greedy algorithm achieves a worst-case $1-1/e$ approximation, which is optimal unless $\text{P} = \text{NP}$. The notion of coverage appears in a wide range of optimization tasks, where…

Data Structures and Algorithms · Computer Science 2026-04-29 Eric Balkanski , Jason Chatzitheodorou , Flore Sentenac

We study the problem of strategic choice of arrival time to a single-server queue with opening and closing times when there is uncertainty regarding service speed. A Poisson population of customers choose their arrival time with the goal of…

Probability · Mathematics 2021-01-01 Liron Ravner , Yutaka Sakuma

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

In this paper, we analyze the performance of random load resampling and migration strategies in parallel server systems. Clients initially attach to an arbitrary server, but may switch server independently at random instants of time in an…

Networking and Internet Architecture · Computer Science 2010-04-12 A. Ganesh , S. Lilienthal , D. Manjunath , A. Proutiere , F. Simatos

For online resource allocation problems, we propose a new demand arrival model where the sequence of arrivals contains both an adversarial component and a stochastic one. Our model requires no demand forecasting; however, due to the…

Data Structures and Algorithms · Computer Science 2018-10-02 Dawsen Hwang , Patrick Jaillet , Vahideh Manshadi

We study an edge-weighted online stochastic \emph{Generalized Assignment Problem} with \emph{unknown} Poisson arrivals. In this model, we consider a bipartite graph that contains offline bins and online items, where each offline bin is…

Computer Science and Game Theory · Computer Science 2023-05-25 Zihao Li , Hao Wang , Zhenzhen Yan

*The following abbreviates the abstract. Please refer to the thesis for the full abstract.* After a disaster, locating and extracting victims quickly is critical because mortality rises rapidly after the first two days. To assist search and…

Robotics · Computer Science 2021-02-09 Micah Corah

We consider the problem of forwarding packets arriving online with their destinations in a line network. In each time step, each router can forward one packet along the edge to its right. Each packet that is forwarded arrives at the next…

Data Structures and Algorithms · Computer Science 2026-03-09 Joan Boyar , Lene M. Favrholdt , Kim S. Larsen , Kevin Schewior , Rob van Stee

The Quality-and-Efficiency-Driven (QED) regime provides a basis for solving asymptotic dimensioning problems that trade off revenue, costs and service quality. We derive bounds for the optimality gaps that capture the differences between…

Optimization and Control · Mathematics 2015-11-06 Jaron Sanders , S. C. Borst , A. J. E. M. Janssen , J. S. H. van Leeuwaarden
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