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We consider two-player stochastic games played on a finite state space for an infinite number of rounds. The games are concurrent: in each round, the two players (player 1 and player 2) choose their moves independently and simultaneously;…

计算机科学与博弈论 · 计算机科学 2012-01-04 Krishnendu Chatterjee

We study three two-stage optimization problems with a similar structure and different objectives. In the first stage of each problem, the goal is to assign input jobs of positive sizes to unsplittable bags. After this assignment is decided,…

数据结构与算法 · 计算机科学 2024-09-17 Leah Epstein , Asaf Levin

We develop value iteration-based algorithms to solve in a unified manner different classes of combinatorial zero-sum games with mean-payoff type rewards. These algorithms rely on an oracle, evaluating the dynamic programming operator up to…

计算机科学与博弈论 · 计算机科学 2024-11-12 Xavier Allamigeon , Stéphane Gaubert , Ricardo D. Katz , Mateusz Skomra

We characterize all common notions of behavioral equivalence by one 6-dimensional energy game, where energies bound capabilities of an attacker trying to tell processes apart. The defender-winning initial credits exhaustively determine…

数据结构与算法 · 计算机科学 2023-07-21 Benjamin Bisping

Flip a coin repeatedly, and stop whenever you want. Your payoff is the proportion of heads, and you wish to maximize this payoff in expectation. This so-called Chow-Robbins game is amenable to computer analysis, but while simple-minded…

概率论 · 数学 2012-01-04 Olle Häggström , Johan Wästlund

In this work we offer an $O(|V|^2 |E|\, W)$ pseudo-polynomial time deterministic algorithm for solving the Value Problem and Optimal Strategy Synthesis in Mean Payoff Games. This improves by a factor $\log(|V|\, W)$ the best previously…

数据结构与算法 · 计算机科学 2016-04-26 Carlo Comin , Romeo Rizzi

We study the computational complexity of scheduling jobs on a single speed-scalable processor with the objective of capturing the trade-off between the (weighted) flow time and the energy consumption. This trade-off has been extensively…

数据结构与算法 · 计算机科学 2026-02-13 Antonios Antoniadis , Denise Graafsma , Ruben Hoeksma , Maria Vlasiou

A recent theory shows that a multi-player decentralized partially observable Markov decision process can be transformed into an equivalent single-player game, enabling the application of \citeauthor{bellman}'s principle of optimality to…

计算机科学与博弈论 · 计算机科学 2025-01-03 Johan Peralez , Aurélien Delage , Olivier Buffet , Jilles S. Dibangoye

We discuss one of the most fundamental scheduling problem of processing jobs on a single machine to minimize the weighted flow time (weighted response time). Our main result is a $O(\log P)$-competitive algorithm, where $P$ is the…

数据结构与算法 · 计算机科学 2018-08-17 Yossi Azar , Noam Touitou

We present and study a new model for energy-aware and profit-oriented scheduling on a single processor. The processor features dynamic speed scaling as well as suspension to a sleep mode. Jobs arrive over time, are preemptable, and have…

数据结构与算法 · 计算机科学 2012-09-14 Peter Kling , Andreas Cord-Landwehr , Frederik Mallmann-Trenn

The online feasibility problem (for a set of sporadic tasks) asks whether there is a scheduler that always prevents deadline misses (if any), whatever the sequence of job releases, which is a priori} unknown to the scheduler. In the…

计算机科学与博弈论 · 计算机科学 2017-04-05 Gilles Geeraerts , Joël Goossens , Thi-Van-Anh Nguyen

This paper investigates repeated win-lose coordination games (WLC-games). We analyse which protocols are optimal for these games, covering both the worst case and average case scenarios, i,e., optimizing the guaranteed and expected…

计算机科学与博弈论 · 计算机科学 2021-09-20 Antti Kuusisto , Raine Rönnholm

We study the problem of computing optimal correlated equilibria (CEs) in infinite-horizon multi-player stochastic games, where correlation signals are provided over time. In this setting, optimal CEs require history-dependent policies; this…

计算机科学与博弈论 · 计算机科学 2025-06-10 Jiarui Gan , Rupak Majumdar

This paper mainly focuses on a resource leveling variant of a two-processor scheduling problem. The latter problem is to schedule a set of dependent UET jobs on two identical processors with minimum makespan. It is known to be…

计算复杂性 · 计算机科学 2024-06-13 Pascale Bendotti , Luca Brunod Indrigo , Philippe Chrétienne , Bruno Escoffier

We consider the problem of scheduling multiprocessor jobs to minimize the total completion time under the given energy budget. Each multiprocessor job requires more than one processor at the same moment of time. Processors may operate at…

最优化与控制 · 数学 2021-07-22 Alexander Kononov , Yulia Kovalenko

One-counter MDPs (OC-MDPs) and one-counter simple stochastic games (OC-SSGs) are 1-player, and 2-player turn-based zero-sum, stochastic games played on the transition graph of classic one-counter automata (equivalently, pushdown automata…

计算机科学与博弈论 · 计算机科学 2011-07-21 Tomáš Brázdil , Václav Brožek , Kousha Etessami , Antonín Kučera

We investigate multi-round team competitions between two teams, where each team selects one of its players simultaneously in each round and each player can play at most once. The competition defines an extensive-form game with perfect…

计算机科学与博弈论 · 计算机科学 2016-02-25 Kai Jin , Pingzhong Tang , Shiteng Chen

The problem of distributing the workload on a parallel computer to minimize the overall runtime is known as Multiprocessor Scheduling Problem. It is NP-hard, but like many other NP-hard problems, the average hardness of random instances…

无序系统与神经网络 · 物理学 2016-08-19 Heiko Bauke , Stephan Mertens , Andreas Engel

Weighted timed games are played by two players on a timed automaton equipped with weights: one player wants to minimise the accumulated weight while reaching a target, while the other has an opposite objective. Used in a reactive synthesis…

计算机科学与博弈论 · 计算机科学 2017-02-01 Damien Busatto-Gaston , Benjamin Monmege , Pierre-Alain Reynier

Graph games provide the foundation for modeling and synthesizing reactive processes. In the synthesis of stochastic reactive processes, the traditional model is perfect-information stochastic games, where some transitions of the game graph…

计算机科学中的逻辑 · 计算机科学 2016-04-22 Krishnendu Chatterjee , Laurent Doyen