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We propose a new tournament structure that combines the popular knockout tournaments and the round-robin tournaments. As opposed to the extremes of divisive elimination and no elimination, our tournament aims to eliminate the participants…

Computer Science and Game Theory · Computer Science 2022-03-24 Kaan Gokcesu , Hakan Gokcesu

We consider the online buffer minimization in multiprocessor systems with conflicts problem (in short, the buffer minimization problem) in the recently introduced flow model. In an online fashion, workloads arrive on some of the $n$…

Data Structures and Algorithms · Computer Science 2025-11-26 Niklas Haas , Sören Schmitt , Rob van Stee

We consider the classical statistical learning/regression problem, when the value of a real random variable Y is to be predicted based on the observation of another random variable X. Given a class of functions F and a sample of independent…

Statistics Theory · Mathematics 2016-08-03 Gabor Lugosi , Shahar Mendelson

We consider the problem of routing for logistics purposes, in a contested environment where an adversary attempts to disrupt the vehicle along the chosen route. We construct a game-theoretic model that captures the problem of optimal…

Computer Science and Game Theory · Computer Science 2025-08-15 Jakub Černý , Garud Iyengar , Christian Kroer

We give optimally fast $O(\log p)$ time (per processor) algorithms for computing round-optimal broadcast schedules for message-passing parallel computing systems. This affirmatively answers difficult questions posed in a SPAA 2022 BA and a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-29 Jesper Larsson Träff

Bounded-rate multi-mode systems (BMMS) are hybrid systems that can switch freely among a finite set of modes, and whose dynamics is specified by a finite number of real-valued variables with mode-dependent rates that can vary within given…

Logic in Computer Science · Computer Science 2013-02-05 Rajeev Alur , Vojtech Forejt , Salar Moarref , Ashutosh Trivedi

Reconfiguration schedules, i.e., sequences that gradually transform one solution of a problem to another while always maintaining feasibility, have been extensively studied. Most research has dealt with the decision problem of whether a…

Data Structures and Algorithms · Computer Science 2021-09-15 Keren Censor-Hillel , Yannic Maus , Shahar Romem-Peled , Tigran Tonoyan

A 2.75-approximation algorithm is proposed for the unconstrained traveling tournament problem, which is a variant of the traveling tournament problem. For the unconstrained traveling tournament problem, this is the first proposal of an…

Data Structures and Algorithms · Computer Science 2016-01-15 Shinji Imahori , Tomomi Matsui , Ryuhei Miyashiro

The outcome of some football matches has benefited both teams at the expense of a third team because head-to-head results were used for breaking ties. Inspired by these examples, our mathematical analysis identifies all possible collusion…

Physics and Society · Physics 2025-05-20 László Csató

Parallel machine scheduling has been extensively studied in the past decades, with applications ranging from production planning to job processing in large computing clusters. In this work we study some of these fundamental optimization…

Data Structures and Algorithms · Computer Science 2015-09-08 Yael Mordechai

The NP-hard scheduling problem P||C_max encompasses a set of tasks with known execution time which must be mapped to a set of identical machines such that the overall completion time is minimized. In this work, we improve existing…

Data Structures and Algorithms · Computer Science 2024-10-22 Matthew Akram , Nikolai Maas , Peter Sanders , Dominik Schreiber

Multicriteria Decision Making problems are important both for individuals and groups. Pairwise comparisons have become popular in the theory and practice of preference modelling and quantification. We focus on decision problems where the…

Discrete Mathematics · Computer Science 2025-09-04 Sándor Bozóki , Zsombor Szádoczki , Hailemariam Abebe Tekile

We introduce a new class of scheduling problems in which the optimization is performed by the worker (single ``machine'') who performs the tasks. A typical worker's objective is to minimize the amount of work he does (he is ``lazy''), or…

Data Structures and Algorithms · Computer Science 2017-03-07 Esther M. Arkin , Michael A. Bender , Joseph S. B. Mitchell , Steven S. Skiena

The paper develops a new technique to extract a characteristic subset from a random source that repeatedly samples from a set of elements. Here a characteristic subset is a set that when containing an element contains all elements that have…

Discrete Mathematics · Computer Science 2017-04-28 Pascal Schweitzer

We study the so-called the traveling tournament problem (TTP), to find an optimal tournament schedule. Differently from the original TTP, in which the total travel distance of all the participants is the objective function to minimize, we…

Physics and Society · Physics 2012-08-13 Hyang Min Jeong , Sang-Woo Kim , Aaram J. Kim , Younguk Choi , Jonghyoun Eun , Beom Jun Kim

We design the first polynomial time approximation schemes (PTASs) for the Minimum Betweenness problem in tournaments and some related higher arity ranking problems. This settles the approximation status of the Betweenness problem in…

Data Structures and Algorithms · Computer Science 2010-07-12 Marek Karpinski , Warren Schudy

We introduce a new measure to capture fairness of a schedule in a single round robin (SRR) tournament when participants are ranked by strength. To prevent distortion of the outcome of an SRR tournament as well as to guarantee equal…

Combinatorics · Mathematics 2025-02-07 Sten Wessel , Cor Hurkens , Frits Spieksma

Balanced knockout tournaments are ubiquitous in sports competitions and are also used in decision-making and elections. The traditional computational question, that asks to compute a draw (optimal draw) that maximizes the winning…

Computer Science and Game Theory · Computer Science 2016-04-19 Krishnendu Chatterjee , Rasmus Ibsen-Jensen , Josef Tkadlec

The main objective of this paper is to develop the two different ways in which round robin architecture is modified and made suitable to be implemented in real time and embedded systems. The scheduling algorithm plays a significant role in…

Operating Systems · Computer Science 2009-12-04 C. Yaashuwanth , Dr. R. Ramesh

The optimal value computation for turned-based stochastic games with reachability objectives, also known as simple stochastic games, is one of the few problems in $NP \cap coNP$ which are not known to be in $P$. However, there are some…

Computational Complexity · Computer Science 2014-08-10 David Auger , Pierre COUCHENEY , Yann Strozecki