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We consider a distributed computing network consisting of a master and multiple workers processing tasks of different types. The master is running multiple applications. Each application stochastically generates real-time jobs with a strict…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-31 Yu-Pin Hsu , Yu-Chih Huang , Shin-Lin Shieh

In this paper the problem of scheduling of jobs on parallel machines under incompatibility relation is considered. In this model a binary relation between jobs is given and no two jobs that are in the relation can be scheduled on the same…

Data Structures and Algorithms · Computer Science 2021-06-29 Tytus Pikies , Hanna Furmańczyk

In this paper, we consider the problem of allocating human operator assistance in a system with multiple autonomous robots. Each robot is required to complete independent missions, each defined as a sequence of tasks. While executing a…

Robotics · Computer Science 2022-09-09 Yifan Cai , Abhinav Dahiya , Nils Wilde , Stephen L. Smith

We formalize the problem of selecting the optimal set of options for planning as that of computing the smallest set of options so that planning converges in less than a given maximum of value-iteration passes. We first show that the problem…

Artificial Intelligence · Computer Science 2019-03-19 Yuu Jinnai , David Abel , D Ellis Hershkowitz , Michael Littman , George Konidaris

We describe in this paper a new method for building an efficient algorithm for scheduling jobs in a cluster. Jobs are considered as parallel tasks (PT) which can be scheduled on any number of processors. The main feature is to consider two…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-16 Pierre-Francois Dutot , Lionel Eyraud , Grégory Mounié , Denis Trystram

We consider a special case of the ordinary NP-hard two-machine flow shop problem with the objective of determining simultaneously a minimal common due date and the minimal number of tardy jobs. In [S. S. Panwalkar, C. Koulamas, An O(n^2)…

Data Structures and Algorithms · Computer Science 2015-03-16 Aleksandar Ilic

In this work we consider the problem of maximizing the PageRank of a given target node in a graph by adding $k$ new links. We consider the case that the new links must point to the given target node (backlinks). Previous work shows that…

Data Structures and Algorithms · Computer Science 2015-03-20 Martin Olsen , Anastasios Viglas , Ilia Zvedeniouk

In data centers, up to dozens of tasks are colocated on a single physical machine. Machines are used more efficiently, but tasks' performance deteriorates, as colocated tasks compete for shared resources. As tasks are heterogeneous, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-29 Fanny Pascual , Krzysztof Rzadca

This paper focuses on a class of inclusion problems of maximal monotone operators in a multi-agent network, where each agent is characterized by an operator that is not available to any other agents, but the agents can cooperate by…

Optimization and Control · Mathematics 2023-10-25 Kai Gong , Liwei Zhang

Co-flows model a modern scheduling setting that is commonly found in a variety of applications in distributed and cloud computing. In co-flow scheduling, there are $m$ input ports and $m$ output ports. Each co-flow $j \in J$ can be…

Data Structures and Algorithms · Computer Science 2018-12-04 Sungjin Im , Manish Purohit

We consider the two-parallel machines scheduling problem, with the aim of minimizing the maximum lateness and the makespan. Formally, the problem is defined as follows. We have to schedule a set J of n jobs on two identical machines. Each…

Data Structures and Algorithms · Computer Science 2018-03-01 Gais Alhadi , Imed Kacem , Pierre Laroche , Izzeldin M. Osman

We study the parameterized complexity of scheduling unit-time jobs on parallel, identical machines under generalized precedence constraints for minimization of the makespan and the sum of completion times. In our setting, each job is…

Optimization and Control · Mathematics 2025-11-18 Christina Büsing , Maurice Draeger , Corinna Mathwieser

We resolve a long-standing open question, about the existence of a constant-factor approximation algorithm for the average-case \textsc{Decision Tree} problem with uniform probability distribution over the hypotheses. We answer the question…

Data Structures and Algorithms · Computer Science 2026-04-29 Michał Szyfelbein

We consider online scheduling to minimize weighted completion time on related machines, where each job consists of several tasks that can be concurrently executed. A job gets completed when all its component tasks finish. We obtain an…

Data Structures and Algorithms · Computer Science 2021-07-14 Anupam Gupta , Amit Kumar , Sahil Singla

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

We consider the problem of minimizing the total processing time of tardy jobs on a single machine. This is a classical scheduling problem, first considered by [Lawler and Moore 1969], that also generalizes the Subset Sum problem. Recently,…

Data Structures and Algorithms · Computer Science 2023-01-18 Baruch Schieber , Pranav Sitaraman

We propose a new approach to competitive analysis in online scheduling by introducing the novel concept of competitive-ratio approximation schemes. Such a scheme algorithmically constructs an online algorithm with a competitive ratio…

Data Structures and Algorithms · Computer Science 2012-11-01 Elisabeth Günther , Olaf Maurer , Nicole Megow , Andreas Wiese

In this study, we investigate a scheduling problem on identical machines in which jobs require initial setup before execution. We assume that an algorithm can dynamically form a batch (i.e., a collection of jobs to be processed together)…

Data Structures and Algorithms · Computer Science 2025-07-16 Yasushi Kawase , Kazuhisa Makino , Vinh Long Phan , Hanna Sumita

The problem of attaining energy efficiency in distributed systems is of importance, but a general, non-domain-specific theory of energy-minimal scheduling is far from developed. In this paper, we classify the problems of energy-minimal…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-10 Pragati Agrawal , Shrisha Rao

We consider the problem of scheduling a set of jobs on a set of identical parallel machines, with the aim of minimizing the total weighted completion time. The problem has been solved in the literature with a number of mathematical…

Data Structures and Algorithms · Computer Science 2020-06-24 Arthur Kramer , Mauro Dell'Amico , Manuel Iori
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