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Algorithms developed for scheduling applications on heterogeneous multiprocessor system focus on asingle objective such as execution time, cost or total data transmission time. However, if more than oneobjective (e.g. execution cost and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-11 M. Rathna Devi , A. Anju

The Non-dominated Sorting Genetic Algorithm II (NSGA-II) is the most prominent multi-objective evolutionary algorithm for real-world applications. While it performs evidently well on bi-objective optimization problems, empirical studies…

Neural and Evolutionary Computing · Computer Science 2023-08-25 Simon Wietheger , Benjamin Doerr

The NSGA-II is one of the most prominent algorithms to solve multi-objective optimization problems. Despite numerous successful applications, several studies have shown that the NSGA-II is less effective for larger numbers of objectives. In…

Neural and Evolutionary Computing · Computer Science 2024-10-07 Weijie Zheng , Benjamin Doerr

Multi-objective optimization is a widely studied problem in diverse fields, such as engineering and finance, that seeks to identify a set of non-dominated solutions that provide optimal trade-offs among competing objectives. However, the…

Neural and Evolutionary Computing · Computer Science 2024-01-15 Arash Heidari , Sebastian Rojas Gonzalez , Tom Dhaene , Ivo Couckuyt

Multiprocessor task scheduling is an important and computationally difficult problem. This paper proposes a comparison study of genetic algorithm and list scheduling algorithm. Both algorithms are naturally parallelizable but have heavy…

Performance · Computer Science 2010-02-08 S. R. Vijayalakshmi , G. Padmavathi

Multiprocessors have emerged as a powerful computing means for running realtime applications, especially where a uniprocessor system would not be sufficient enough to execute all the tasks. The high performance and reliability of…

Neural and Evolutionary Computing · Computer Science 2010-01-13 Dr. G. Padmavathi , Mrs. S. R. Vijayalakshmi

Multiple-objective optimization (MOO) aims to simultaneously optimize multiple conflicting objectives and has found important applications in machine learning, such as minimizing classification loss and discrepancy in treating different…

Machine Learning · Computer Science 2022-09-16 Eric Enouen , Katja Mathesius , Sean Wang , Arielle Carr , Sihong Xie

The Non-dominated Sorting Genetic Algorithm-II (NSGA-II) is one of the most prominent algorithms to solve multi-objective optimization problems. Recently, the first mathematical runtime guarantees have been obtained for this algorithm,…

Artificial Intelligence · Computer Science 2023-08-22 Sacha Cerf , Benjamin Doerr , Benjamin Hebras , Yakob Kahane , Simon Wietheger

In this paper, we consider an NP-hard problem of scheduling a set of jobs of equal processing time on two machines, given a partial precedence order on the set of jobs, with an objective to minimize the makespan. An approximation algorithm…

Optimization and Control · Mathematics 2014-12-17 Anna Romanova

Non-dominated sorting genetic algorithm II (NSGA-II) does well in dealing with multi-objective problems. When evaluating validity of an algorithm for multi-objective problems, two kinds of indices are often considered simultaneously, i.e.…

Neural and Evolutionary Computing · Computer Science 2018-12-03 Xiangxiang Chu , Xinjie Yu

Dealing with multi-objective problems by using generation methods has some interesting advantages since it provides the decision-maker with the complete information about the set of non-dominated points (Pareto front) and a clear overview…

Optimization and Control · Mathematics 2022-09-09 Mariana Mesquita-Cunha , José Rui Figueira , Ana Paula Barbosa-Póvoa

Software quality estimation is a challenging and time-consuming activity, and models are crucial to face the complexity of such activity on modern software applications. In this context, software refactoring is a crucial activity within…

Software Engineering · Computer Science 2024-01-31 Vittorio Cortellessa , Daniele Di Pompeo , Vincenzo Stoico , Michele Tucci

Simultaneous optimization of multiple objective functions results in a set of trade-off, or Pareto, solutions. Choosing a, in some sense, best solution in this set is in general a challenging task: In the case of three or more objectives…

Optimization and Control · Mathematics 2023-02-01 C. Yalçın Kaya , Helmut Maurer

Pareto front profiling in multi-objective optimization (MOO), i.e., finding a diverse set of Pareto optimal solutions, is challenging, especially with expensive objectives that require training a neural network. Typically, in MOO for neural…

Machine Learning · Computer Science 2025-02-06 Rhea Sanjay Sukthanker , Arber Zela , Benedikt Staffler , Samuel Dooley , Josif Grabocka , Frank Hutter

We introduce a parallel machine scheduling problem in which the processing times of jobs are not given in advance but are determined by a system of linear constraints. The objective is to minimize the makespan, i.e., the maximum job…

Data Structures and Algorithms · Computer Science 2015-10-30 Kameng Nip , Zhenbo Wang , Zizhuo Wang

This work considers a multiobjective version of the unit commitment problem that deals with finding the optimal generation schedule of a firm, over a period of time and a given electrical network. With growing importance of environmental…

Optimization and Control · Mathematics 2025-01-14 Ece Tevruez , Aswin Kannan

This paper deals with discrete topology optimization and describes the modification of a single-objective algorithm into its multi-objective counterpart. The result is a significant increase in the optimization speed and quality of the…

Neural and Evolutionary Computing · Computer Science 2025-03-13 Petr Kadlec , Miloslav Capek

The NSGA-II is the most prominent multi-objective evolutionary algorithm (cited more than 50,000 times). Very recently, a mathematical runtime analysis has proven that this algorithm can have enormous difficulties when the number of…

Neural and Evolutionary Computing · Computer Science 2024-11-18 Benjamin Doerr , Dimitri Korkotashvili , Martin S. Krejca

In addition to the best model architecture and hyperparameters, a full AutoML solution requires selecting appropriate hardware automatically. This can be framed as a multi-objective optimization problem: there is not a single best hardware…

Machine Learning · Computer Science 2021-06-11 David Salinas , Valerio Perrone , Olivier Cruchant , Cedric Archambeau

Real-world problems are often multi-objective with decision-makers unable to specify a priori which trade-off between the conflicting objectives is preferable. Intuitively, building machine learning solutions in such cases would entail…

Machine Learning · Computer Science 2021-10-20 Timo M. Deist , Monika Grewal , Frank J. W. M. Dankers , Tanja Alderliesten , Peter A. N. Bosman
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