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In this paper, we propose a general method for testing composite hypotheses. Our idea is to use confidence limits to define stopping and decision rules. The requirements of operating characteristic function can be satisfied by adjusting the…

Statistics Theory · Mathematics 2012-02-10 Xinjia Chen

Scheduling parallel sessions of an academic meeting is a complicated task. If each presentation is assigned to an appropriate session, an antiferromagnetic Potts model can be used for semi-automatic timetabling. The timetabling method…

Physics and Society · Physics 2017-06-15 Kazue Kudo

In this paper we study a scheduling problem arising from executing numerical simulations on HPC architectures. With a constant number of parallel machines, the objective is to minimize the makespan under memory constraints for the machines.…

Data Structures and Algorithms · Computer Science 2022-02-18 Eric Angel , Sébastien Morais , Damien Regnault

We consider a parallel system of $m$ identical machines prone to unpredictable crashes and restarts, trying to cope with the continuous arrival of tasks to be executed. Tasks have different computational requirements (i.e., processing time…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-21 Elli Zavou , Antonio Fernández Anta

P-time event graphs are discrete event systems able to model cyclic production systems where tasks need to be performed within given time windows. Consistency is the property of admitting an infinite execution of such tasks that does not…

Logic in Computer Science · Computer Science 2026-02-10 Davide Zorzenon , Jörg Raisch

We study classic scheduling problems on uniformly related machines. Efficient polynomial time approximation schemes (EPTAS's) are fast and practical approximation schemes. New methods and techniques are essential in developing such improved…

Data Structures and Algorithms · Computer Science 2014-04-04 Leah Epstein , Asaf Levin

In this paper, we consider a model of generalized timed automata (GTA) with two kinds of clocks, history and future, that can express many timed features succinctly, including timed automata, event-clock automata with and without diagonal…

Formal Languages and Automata Theory · Computer Science 2024-03-19 S Akshay , Paul Gastin , R Govind , Aniruddha R Joshi , B Srivathsan

We study temporally extended goals expressed in Pure-Past LTL (PPLTL). PPLTL is particularly interesting for expressing goals since it allows to express sophisticated tasks as in the Formal Methods literature, while the worst-case…

Artificial Intelligence · Computer Science 2022-06-02 Giuseppe De Giacomo , Marco Favorito , Francesco Fuggitti

This paper extends the subjects dicussed in the Data Analysis and Dynamical Systems courses by looking at the subject of modelling data. This task is nontrivial as the underlying process could be non-linear. In the paper some common…

Statistics Theory · Mathematics 2011-08-02 Vincent Mellor

This is the latest in a series of articles aimed at exploring the relationship between the complexity classes of P and NP. In the previous papers, we have proved that the sat CNF problem is polynomially reduced to the problem of finding a…

Computational Complexity · Computer Science 2023-11-01 Stepan G. Margaryan

This paper studies real-time scheduling of mixed-criticality systems where low-criticality tasks are still guaranteed some service in the high-criticality mode, with reduced execution budgets. First, we present a utilization-based…

Other Computer Science · Computer Science 2018-08-02 Di Liu , Jelena Spasic , Gang Chen , Nan Guan , Songran Liu , Todor Stefanov , Wang Yi

We present a novel nonlinear model predictive control (MPC) scheme with relaxed stability criteria, based on the idea of generalized discrete-time control Lyapunov functions. These functions need to satisfy an average descent over a finite…

Optimization and Control · Mathematics 2024-04-11 Annika Fürnsinn , Christian Ebenbauer , Bahman Gharesifard

We consider optimal route planning when the objective function is a general nonlinear and non-monotonic function. Such an objective models user behavior more accurately, for example, when a user is risk-averse, or the utility function needs…

Data Structures and Algorithms · Computer Science 2015-11-24 Ger Yang , Evdokia Nikolova

In this paper, we consider a matroid generalization of the stable matching problem. In particular, we consider the setting where preferences may contain ties. For this generalization, we propose a polynomial-time algorithm for the problem…

Computer Science and Game Theory · Computer Science 2026-01-19 Naoyuki Kamiyama

An important objective in scheduling literature is to minimize the sum of weighted flow times. We are given a set of jobs where each job is characterized by a release time, a processing time, and a weight. Our goal is to find a preemptive…

Data Structures and Algorithms · Computer Science 2022-08-08 Alexander Armbruster , Lars Rohwedder , Andreas Wiese

We present a federated, asynchronous, memory-limited algorithm for online task scheduling across large-scale networks of hundreds of workers. This is achieved through recent advancements in federated edge computing that unlocks the ability…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-29 Andreas Grammenos , Evangelia Kalyvianaki , Peter Pietzuch

The rigid gang task model is based on the idea of executing multiple threads simultaneously on a fixed number of processors to increase efficiency and performance. Although there is extensive literature on global rigid gang scheduling,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-04 Binqi Sun , Tomasz Kloda , Marco Caccamo

Propositional Projection Temporal Logic (PPTL) is a useful formalism for reasoning about period of time in hardware and software systems and can handle both sequential and parallel compositions. In this paper, based on discrete time Markov…

Logic in Computer Science · Computer Science 2010-11-08 Xiaoxiao Yang

We consider a natural generalization of scheduling $n$ jobs on $m$ parallel machines so as to minimize the makespan. In our extension the set of jobs is partitioned into several classes and a machine requires a setup whenever it switches…

Data Structures and Algorithms · Computer Science 2018-09-28 Klaus Jansen , Marten Maack , Alexander Mäcker

In this paper, we will find a pseudopolynomial algorithm to solve $Qm \mid \mid L_{\max}$ and then we will prove that it is impossible to get any constant-factor approximation in polynomial time, and thus also impossible to have a PTAS for…

Data Structures and Algorithms · Computer Science 2020-01-23 Elbert Du , Stan Zhang