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We consider the problem of scheduling in multi-class, parallel-server queuing systems with uncertain rewards from job-server assignments. In this scenario, jobs incur holding costs while awaiting completion, and job-server assignments yield…

Machine Learning · Computer Science 2025-08-15 Jung-hun Kim , Milan Vojnovic

We study the problem of assigning $K$ identical servers to a set of $N$ parallel queues in a time-slotted queueing system. The connectivity of each queue to each server is randomly changing with time; each server can serve at most one queue…

Optimization and Control · Mathematics 2015-03-19 Hassan Halabian , Ioannis Lambadaris , Yannis Viniotis , Chung-Horng Lung

This paper addresses the problem of computing a scheduling policy that minimizes the total expected completion time of a set of $N$ jobs with stochastic processing times on $m$ parallel identical machines. When all processing times follow…

Data Structures and Algorithms · Computer Science 2025-05-07 Antonios Antoniadis , Ruben Hoeksma , Kevin Schewior , Marc Uetz

We consider a generalization of the secretary problem where contracts are temporary, and for a fixed duration. This models online hiring of temporary employees, or online auctions for re-usable resources. The problem is related to the…

Data Structures and Algorithms · Computer Science 2015-07-09 Amos Fiat , Ilia Gorelik , Haim Kaplan , Slava Novgorodov

This paper presents a novel idea for the general case of the Common Due-Date (CDD) scheduling problem. The problem is about scheduling a certain number of jobs on a single or parallel machines where all the jobs possess different processing…

Data Structures and Algorithms · Computer Science 2014-05-07 Abhishek Awasthi , Jörg Lässig , Oliver Kramer

This paper gives the first separation of quantum and classical pure (i.e., non-cryptographic) computing abilities with no restriction on the amount of available computing resources, by considering the exact solvability of a celebrated…

Quantum Physics · Physics 2012-10-10 Seiichiro Tani , Hirotada Kobayashi , Keiji Matsumoto

We study the problem of scheduling jobs on parallel machines minimizing the total completion time, with each job using exactly one resource. First, we derive fundamental properties of the problem and show that the problem is polynomially…

Discrete Mathematics · Computer Science 2018-11-19 T. Janssen , C. Swennenhuis , A. Bitar , T. Bosman , D. Gijswijt , L. van Iersel , S. Dauzére-Pérès , C. Yugma

In the Tensor PCA problem introduced by Richard and Montanari (2014), one is given a dataset consisting of $n$ samples $\mathbf{T}_{1:n}$ of i.i.d. Gaussian tensors of order $k$ with the promise that $\mathbb{E}\mathbf{T}_1$ is a rank-1…

Statistics Theory · Mathematics 2021-02-16 Rishabh Dudeja , Daniel Hsu

We present scalable parallel algorithms with sublinear per-processor communication volume and low latency for several fundamental problems related to finding the most relevant elements in a set, for various notions of relevance: We begin…

Data Structures and Algorithms · Computer Science 2015-10-20 Lorenz Hübschle-Schneider , Peter Sanders , Ingo Müller

Distributed gossip algorithm has been studied in literature for practical implementation of the distributed consensus algorithm as a fundamental algorithm for the purpose of in-network collaborative processing. This paper focuses on…

Systems and Control · Computer Science 2015-12-14 Saber Jafarizadeh

In the classic prophet inequality, samples from independent random variables arrive online. A gambler that knows the distributions must decide at each point in time whether to stop and pick the current sample or to continue and lose that…

Data Structures and Algorithms · Computer Science 2019-03-13 Jose Correa , Raimundo Saona , Bruno Ziliotto

It is well known that quantum, randomized and deterministic (sequential) query complexities are polynomially related for total boolean functions. We find that significantly larger separations between the parallel generalizations of these…

Quantum Physics · Physics 2025-03-13 Joseph Carolan , Amin Shiraz Gilani , Mahathi Vempati

In parallel machine scheduling, we are given a set of jobs, together with a number of machines and our goal is to decide for each job, when and on which machine(s) it should be scheduled in order to minimize some objective function.…

Data Structures and Algorithms · Computer Science 2023-02-09 Klaus Jansen , Kai Kahler

Cowan and Zabczyk (1978) introduced a continuous-time generalisation of the secretary problem, where offers arrive at epochs of a homogeneous Poisson process. We expand their work to encompass the last-success problem under the…

Probability · Mathematics 2024-09-19 Zakaria Derbazi

A dominant cost for query evaluation in modern massively distributed systems is the number of communication rounds. For this reason, there is a growing interest in single-round multiway join algorithms where data is first reshuffled over…

Databases · Computer Science 2015-01-06 Tom J. Ameloot , Gaetano Geck , Bas Ketsman , Frank Neven , Thomas Schwentick

We study the single-choice Prophet Inequality problem when the gambler is given access to samples. We show that the optimal competitive ratio of $1/2$ can be achieved with a single sample from each distribution. When the distributions are…

Data Structures and Algorithms · Computer Science 2025-09-12 Aviad Rubinstein , Jack Z. Wang , S. Matthew Weinberg

Motivated by hiring pipelines, we study three selection and ordering problems in which applicants for a finite set of positions must be interviewed or sent offers. There is a finite time budget for interviewing/sending offers, and every…

Data Structures and Algorithms · Computer Science 2023-10-30 Boris Epstein , Will Ma

We study strategy improvement algorithms for solving parity games. While these algorithms are known to solve parity games using a very small number of iterations, experimental studies have found that a high step complexity causes them to…

Data Structures and Algorithms · Computer Science 2017-05-08 John Fearnley

We provide the first deterministic distributed synchronizer with near-optimal time complexity and message complexity overheads. Concretely, given any distributed algorithm $\mathcal{A}$ that has time complexity $T$ and message complexity…

Data Structures and Algorithms · Computer Science 2023-05-12 Mohsen Ghaffari , Anton Trygub

We consider the algorithmic question of choosing a subset of candidates of a given size $k$ from a set of $m$ candidates, with knowledge of voters' ordinal rankings over all candidates. We consider the well-known and classic scoring rule…

Computer Science and Game Theory · Computer Science 2021-06-02 Kamesh Munagala , Zeyu Shen , Kangning Wang