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We propose a Boolean Linear Programming model for the preemptive single machine scheduling problem with equal processing times, arbitrary release dates and weights(priorities) minimizing the total weighted completion time. Almost always an…

Optimization and Control · Mathematics 2020-12-16 Artem Fomin , Boris Goldengorin

The article describes a special time-interval balancing in multi-processor scheduling of composite modular jobs. This scheduling problem is close to just-in-time planning approach. First, brief literature surveys are presented on…

Artificial Intelligence · Computer Science 2018-11-13 Mark Sh. Levin

The manpower scheduling problem is a critical research field in the resource management area. Based on the existing studies on scheduling problem solutions, this paper transforms the manpower scheduling problem into a combinational…

Artificial Intelligence · Computer Science 2021-05-12 Lingyu Zhang , Tianyu Liu , Yunhai Wang

We propose new sequential sorting operations by adapting techniques and methods used for designing parallel sorting algorithms. Although the norm is to parallelize a sequential algorithm to improve performance, we adapt a contrarian…

Data Structures and Algorithms · Computer Science 2016-09-01 Alexandros V Gerbessiotis

Drones are currently seen as a viable way for improving the distribution of parcels in urban and rural environments, while working in coordination with traditional vehicles like trucks. In this paper we consider the parallel drone…

Optimization and Control · Mathematics 2023-07-07 Roberto Montemanni , Mauro Dell'Amico

This paper studies a generalized busy-time scheduling model on heterogeneous machines. The input to the model includes a set of jobs and a set of machine types. Each job has a size and a time interval during which it should be processed.…

Data Structures and Algorithms · Computer Science 2021-05-14 Mozhengfu Liu , Xueyan Tang

Scheduling jobs with precedence constraints on a set of identical machines to minimize the total processing time (makespan) is a fundamental problem in combinatorial optimization. In practical settings such as cloud computing, jobs are…

Data Structures and Algorithms · Computer Science 2014-04-29 Konstantin Makarychev , Debmalya Panigrahi

We investigate the problem of scheduling the maintenance of edges in a network, motivated by the goal of minimizing outages in transportation or telecommunication networks. We focus on maintaining connectivity between two nodes over time;…

Data Structures and Algorithms · Computer Science 2017-02-01 Fidaa Abed , Lin Chen , Yann Disser , Martin Groß , Nicole Megow , Julie Meißner , Alexander T. Richter , Roman Rischke

Parallelization is a popular strategy for improving the performance of iterative algorithms. Optimization methods are no exception: design of efficient parallel optimization methods and tight analysis of their theoretical properties are…

Optimization and Control · Mathematics 2023-11-28 Alexander Tyurin , Peter Richtárik

Since the publication of the first scheduling paper in 1954, a huge number of works dealing with different types of single machine problems appeared. They addressed many heuristics and enumerative procedures, complexity results or…

Data Structures and Algorithms · Computer Science 2024-06-19 Nodari Vakhania , Frank Werner , Kevin Johedan Ramírez-Fuentes , Víctor Pacheco-Valencia

Design and analysis of constant competitive deterministic semi-online algorithms for the multi-processor scheduling problem with small number of identical machines have gained significant research interest in the last two decades. In the…

Data Structures and Algorithms · Computer Science 2021-06-10 Debasis Dwibedy , Rakesh Mohanty

We present a unified framework for minimizing average completion time for many seemingly disparate online scheduling problems, such as the traveling repairperson problems (TRP), dial-a-ride problems (DARP), and scheduling on unrelated…

Data Structures and Algorithms · Computer Science 2021-05-18 Marcin Bienkowski , Artur Kraska , Hsiang-Hsuan Liu

This paper addresses two classes of different, yet interrelated optimization problems. The first class of problems involves a robot that must locate a hidden target in an environment that consists of a set of concurrent rays. The second…

Artificial Intelligence · Computer Science 2015-04-28 Spyros Angelopoulos

We introduce and study a general scheduling problem that we term the Packing Scheduling problem. In this problem, jobs can have different arrival times and sizes; a scheduler can process job $j$ at rate $x_j$, subject to arbitrary packing…

Data Structures and Algorithms · Computer Science 2014-04-07 Sungjin Im , Janardhan Kulkarni , Kamesh Munagala

In practice, standard scheduling of parallel computing jobs almost always leaves significant portions of the available hardware unused, even with many jobs still waiting in the queue. The simple reason is that the resource requests of these…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-04 Florian Spenke , Karsten Balzer , Sascha Frick , Bernd Hartke , Johannes M. Dieterich

This paper presents the design and analysis of parallel approximation algorithms for facility-location problems, including $\NC$ and $\RNC$ algorithms for (metric) facility location, $k$-center, $k$-median, and $k$-means. These problems…

Data Structures and Algorithms · Computer Science 2010-06-11 Guy E. Blelloch , Kanat Tangwongsan

The problem of scheduling with testing in the framework of explorable uncertainty models environments where some preliminary action can influence the duration of a task. In the model, each job has an unknown processing time that can be…

Data Structures and Algorithms · Computer Science 2021-08-20 Susanne Albers , Alexander Eckl

In this paper we consider a combination of the joint replenishment problem (JRP) and single machine scheduling with release dates. There is a single machine and one or more item types. Each job has a release date, a positive processing…

Data Structures and Algorithms · Computer Science 2022-03-03 Péter Györgyi , Tamás Kis , Tímea Tamási , József Békési

In this paper, we address a variant of a batch scheduling problem with identical parallel machines and non-anticipatory family setup times to minimize the total weighted completion time. We developed an ILS and a GRASP matheuristics to…

Optimization and Control · Mathematics 2020-10-29 Victor Abu-Marrul , Rafael Martinelli , Silvio Hamacher , Irina Gribkovskaia

We investigate the recoverable robust single machine scheduling problem under interval uncertainty. In this setting, jobs have first-stage processing times p and second-stage processing times q and we aim to find a first-stage and…

Data Structures and Algorithms · Computer Science 2022-03-08 Matthew Bold , Marc Goerigk