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We consider a problem of scheduling rigid parallel jobs on variable speed processors so as to minimize the total energy consumption. Each job is specified by its processing volume and the required number of processors. We propose new…

Data Structures and Algorithms · Computer Science 2018-11-29 Alexander Kononov , Yulia Kovalenko

In the problem called single resource constraint scheduling, we are given $m$ identical machines and a set of jobs, each needing one machine to be processed as well as a share of a limited renewable resource $R$. A schedule of these jobs is…

Data Structures and Algorithms · Computer Science 2021-07-06 Klaus Jansen , Malin Rau

We consider the problem of efficiently scheduling jobs with precedence constraints on a set of identical machines in the presence of a uniform communication delay. Such precedence-constrained jobs can be modeled as a directed acyclic graph,…

Data Structures and Algorithms · Computer Science 2022-02-01 Quanquan C. Liu , Manish Purohit , Zoya Svitkina , Erik Vee , Joshua R. Wang

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

This paper formulates a team orienteering problem with multiple fixed-wing drones and develops a branch-and-price algorithm to solve the problem to optimality. Fixed-wing drones, unlike rotary drones, have kinematic constraints associated…

Optimization and Control · Mathematics 2021-12-03 Kaarthik Sundar , Sujeevraja Sanjeevi , Christopher Montez

We consider scheduling two types of jobs (A-job and B-job) to $p$ machines and minimizing their makespan. A group of same type of jobs processed consecutively by a machine is called a batch. For machine $v$, processing $x$ A-jobs in a batch…

Data Structures and Algorithms · Computer Science 2025-03-17 Song Cao , Kai Jin

Integer linear programs of configurations, or configuration IPs, are a classical tool in the design of algorithms for scheduling and packing problems, where a set of items has to be placed in multiple target locations. Herein a…

Data Structures and Algorithms · Computer Science 2018-11-19 Klaus Jansen , Kim-Manuel Klein , Marten Maack , Malin Rau

We consider the classic problem of scheduling jobs with precedence constraints on identical machines to minimize makespan, in the presence of communication delays. In this setting, denoted by $\mathsf{P} \mid \mathsf{prec}, c \mid…

Data Structures and Algorithms · Computer Science 2020-04-22 Sami Davies , Janardhan Kulkarni , Thomas Rothvoss , Jakub Tarnawski , Yihao Zhang

This paper takes a game theoretical approach to open shop scheduling problems with unit execution times to minimize the sum of completion times. By supposing an initial schedule and associating each job (consisting in a number of…

Computer Science and Game Theory · Computer Science 2019-07-31 Ata Atay , Pedro Calleja , Sergio Soteras

Minimizing job scheduling time is a fundamental issue in data center networks that has been extensively studied in recent years. The incoming jobs require different CPU and memory units, and span different number of time slots. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-21 Weijia Chen , Yuedong Xu , Xiaofeng Wu

The considered problem is how to optimally allocate a set of jobs to technicians of different skills such that the number of technicians of each skill does not exceed the number of persons with that skill designation. The key motivation is…

Artificial Intelligence · Computer Science 2018-03-06 Nima Safaei , Corey Kiassat

This paper introduces a parallel scheduling problem where a directed acyclic graph modeling $t$ tasks and their dependencies needs to be executed on $n$ unreliable workers. Worker $i$ executes task $j$ correctly with probability $p_{i,j}$.…

Data Structures and Algorithms · Computer Science 2007-05-23 Grzegorz Malewicz

We present a new online algorithm for profit-oriented scheduling on multiple speed-scalable processors. Moreover, we provide a tight analysis of the algorithm's competitiveness. Our results generalize and improve upon work by…

Data Structures and Algorithms · Computer Science 2012-09-19 Peter Kling , Peter Pietrzyk

Job Shop Scheduling (JSS) is one of the most studied combinatorial optimization problems. It involves scheduling a set of jobs with predefined processing constraints on a set of machines to achieve a desired objective, such as minimizing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-08 Karima Rihane , Adel Dabah , Abdelhakim AitZai

Flexible job shop scheduling has been noticed as an effective manufacturing system to cope with rapid development in today's competitive environment. Flexible job shop scheduling problem (FJSSP) is known as a NP-hard problem in the field of…

Optimization and Control · Mathematics 2012-07-11 Sayedmohammadreza Vaghefinezhad , Kuan Yew Wong

Staff scheduling is a universal problem that can be encountered in many organizations, such as call centers, educational institution, industry, hospital, and any other public services. It is one of the most important aspects of workforce…

Artificial Intelligence · Computer Science 2019-02-05 O. M. Alade , A. O. Amusat

Multi-robot task allocation is one of the most fundamental classes of problems in robotics and is crucial for various real-world robotic applications such as search, rescue and area exploration. We consider the Single-Task robots and…

Robotics · Computer Science 2021-03-24 Haris Aziz , Hau Chan , Ágnes Cseh , Bo Li , Fahimeh Ramezani , Chenhao Wang

We consider the online problem of scheduling jobs on identical machines, where jobs have precedence constraints. We are interested in the demanding setting where the jobs sizes are not known up-front, but are revealed only upon completion…

Data Structures and Algorithms · Computer Science 2019-05-07 Naveen Garg , Anupam Gupta , Amit Kumar , Sahil Singla

A mathematical programming model for a class of single machine family scheduling problem is described in this technical report, with the aim of comparing the performance in solving the scheduling problem by means of mathematical programming…

Optimization and Control · Mathematics 2015-03-03 Davide Giglio

We consider a game-theoretic variant of an interval scheduling problem. Every job is associated with a length, a weight, and a color. Each player controls all the jobs of a specific color, and needs to decide on a processing interval for…

Computer Science and Game Theory · Computer Science 2026-01-22 Vipin Ravindran Vijayalakshmi , Marc Schroder , Tami Tamir