Metaheuristics for Scheduling in Industrial and Manufacturing Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3540789847
Total Pages : 362 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Metaheuristics for Scheduling in Industrial and Manufacturing Applications by : Fatos Xhafa

Download or read book Metaheuristics for Scheduling in Industrial and Manufacturing Applications written by Fatos Xhafa and published by Springer Science & Business Media. This book was released on 2008-06-21 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past decades scheduling has been among the most studied op- mization problemsanditisstillanactiveareaofresearch!Schedulingappears in many areas of science, engineering and industry and takes di?erent forms depending on the restrictions and optimization criteria of the operating en- ronments [8]. For instance, in optimization and computer science, scheduling has been de?ned as “the allocation of tasks to resources over time in order to achieve optimality in one or more objective criteria in an e?cient way” and in production as “production schedule, i. e. , the planning of the production or the sequence of operations according to which jobs pass through machines and is optimal with respect to certain optimization criteria. ” Although there is a standardized form of stating any scheduling problem, namely “e?cient allocation ofn jobs onm machines –which can process no more than one activity at a time– with the objective to optimize some - jective function of the job completion times”, scheduling is in fact a family of problems. Indeed, several parameters intervene in the problem de?nition: (a) job characteristics (preemptive or not, precedence constraints, release dates, etc. ); (b) resource environment (single vs. parallel machines, un- lated machines, identical or uniform machines, etc. ); (c) optimization criteria (minimize total tardiness, the number of late jobs, makespan, ?owtime, etc. ; maximize resource utilization, etc. ); and, (d) scheduling environment (static vs. dynamic,intheformerthenumberofjobstobeconsideredandtheirready times are available while in the later the number of jobs and their charact- istics change over time).

Metaheuristics for Scheduling in Industrial and Manufacturing Applications

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Publisher : Springer
ISBN 13 : 3540789855
Total Pages : 346 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Metaheuristics for Scheduling in Industrial and Manufacturing Applications by : Fatos Xhafa

Download or read book Metaheuristics for Scheduling in Industrial and Manufacturing Applications written by Fatos Xhafa and published by Springer. This book was released on 2008-08-22 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past decades scheduling has been among the most studied op- mization problemsanditisstillanactiveareaofresearch!Schedulingappears in many areas of science, engineering and industry and takes di?erent forms depending on the restrictions and optimization criteria of the operating en- ronments [8]. For instance, in optimization and computer science, scheduling has been de?ned as “the allocation of tasks to resources over time in order to achieve optimality in one or more objective criteria in an e?cient way” and in production as “production schedule, i. e. , the planning of the production or the sequence of operations according to which jobs pass through machines and is optimal with respect to certain optimization criteria. ” Although there is a standardized form of stating any scheduling problem, namely “e?cient allocation ofn jobs onm machines –which can process no more than one activity at a time– with the objective to optimize some - jective function of the job completion times”, scheduling is in fact a family of problems. Indeed, several parameters intervene in the problem de?nition: (a) job characteristics (preemptive or not, precedence constraints, release dates, etc. ); (b) resource environment (single vs. parallel machines, un- lated machines, identical or uniform machines, etc. ); (c) optimization criteria (minimize total tardiness, the number of late jobs, makespan, ?owtime, etc. ; maximize resource utilization, etc. ); and, (d) scheduling environment (static vs. dynamic,intheformerthenumberofjobstobeconsideredandtheirready times are available while in the later the number of jobs and their charact- istics change over time).

Metaheuristics for Production Scheduling

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Publisher : John Wiley & Sons
ISBN 13 : 1118731565
Total Pages : 381 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Metaheuristics for Production Scheduling by : Bassem Jarboui

Download or read book Metaheuristics for Production Scheduling written by Bassem Jarboui and published by John Wiley & Sons. This book was released on 2013-06-12 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the potentialities of metaheuristics for solving production scheduling problems and the relationship between these two fields. For the past several years, there has been an increasing interest in using metaheuristic methods to solve scheduling problems. The main reasons for this are that such problems are generally hard to solve to optimality, as well as the fact that metaheuristics provide very good solutions in a reasonable time. The first part of the book presents eight applications of metaheuristics for solving various mono-objective scheduling problems. The second part is itself split into two, the first section being devoted to five multi-objective problems to which metaheuristics are adapted, while the second tackles various transportation problems related to the organization of production systems. Many real-world applications are presented by the authors, making this an invaluable resource for researchers and students in engineering, economics, mathematics and computer science. Contents 1. An Estimation of Distribution Algorithm for Solving Flow Shop Scheduling Problems with Sequence-dependent Family Setup Times, Mansour Eddaly, Bassem Jarboui, Radhouan Bouabda, Patrick Siarry and Abdelwaheb Rebaï. 2. Genetic Algorithms for Solving Flexible Job Shop Scheduling Problems, Imed Kacem. 3. A Hybrid GRASP-Differential Evolution Algorithm for Solving Flow Shop Scheduling Problems with No-Wait Constraints, Hanen Akrout, Bassem Jarboui, Patrick Siarry and Abdelwaheb Rebaï. 4. A Comparison of Local Search Metaheuristics for a Hierarchical Flow Shop Optimization Problem with Time Lags, Emna Dhouib, Jacques Teghem, Daniel Tuyttens and Taïcir Loukil. 5. Neutrality in Flow Shop Scheduling Problems: Landscape Structure and Local Search, Marie-Eléonore Marmion. 6. Evolutionary Metaheuristic Based on Genetic Algorithm: Application to Hybrid Flow Shop Problem with Availability Constraints, Nadia Chaaben, Racem Mellouli and Faouzi Masmoudi. 7. Models and Methods in Graph Coloration for Various Production Problems, Nicolas Zufferey. 8. Mathematical Programming and Heuristics for Scheduling Problems with Early and Tardy Penalties, Mustapha Ratli, Rachid Benmansour, Rita Macedo, Saïd Hanafi, Christophe Wilbaut. 9. Metaheuristics for Biobjective Flow Shop Scheduling, Matthieu Basseur and Arnaud Liefooghe. 10. Pareto Solution Strategies for the Industrial Car Sequencing Problem, Caroline Gagné, Arnaud Zinflou and Marc Gravel. 11. Multi-Objective Metaheuristics for the Joint Scheduling of Production and Maintenance, Ali Berrichi and Farouk Yalaoui. 12. Optimization via a Genetic Algorithm Parametrizing the AHP Method for Multicriteria Workshop Scheduling, Fouzia Ounnar, Patrick Pujo and Afef Denguir. 13. A Multicriteria Genetic Algorithm for the Resource-constrained Task Scheduling Problem, Olfa Dridi, Saoussen Krichen and Adel Guitouni. 14. Metaheuristics for the Solution of Vehicle Routing Problems in a Dynamic Context, Tienté Hsu, Gilles Gonçalves and Rémy Dupas. 15. Combination of a Metaheuristic and a Simulation Model for the Scheduling of Resource-constrained Transport Activities, Virginie André, Nathalie Grangeon and Sylvie Norre. 16. Vehicle Routing Problems with Scheduling Constraints, Rahma Lahyani, Frédéric Semet and Benoît Trouillet. 17. Metaheuristics for Job Shop Scheduling with Transportation, Qiao Zhang, Hervé Manier, Marie-Ange Manier. About the Authors Bassem Jarboui is Professor at the University of Sfax, Tunisia. Patrick Siarry is Professor at the Laboratoire Images, Signaux et Systèmes Intelligents (LISSI), University of Paris-Est Créteil, France. Jacques Teghem is Professor at the University of Mons, Belgium.

Metaheuristics for Production Systems

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Publisher : Springer
ISBN 13 : 3319233505
Total Pages : 350 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Metaheuristics for Production Systems by : El-Ghazali Talbi

Download or read book Metaheuristics for Production Systems written by El-Ghazali Talbi and published by Springer. This book was released on 2015-11-26 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the main techniques and newest trends to manage and optimize the production and service systems. The book begins by examining the three main levels of decision systems in production: the long term (strategic), the middle term (tactical) and short term (operational). It also considers online management as a new level (a sub level of the short term). As each level encounters specific problems, appropriate approaches to deal with these are introduced and explained. These problems include the line design, the line balancing optimization, the physical layout of the production or service system, the forecasting optimization, the inventory management, the scheduling etc. Metaheuristics for Production Systems then explores logistic optimization from two different perspectives: internal (production management), addressing issues of scheduling, layout and line designs, and external (supply chain management) focusing on transportation optimization, supply chain evaluation, and location of production. The book also looks at NP-hard problems that are common in production management. These complex configurations may mean that optimal solutions may not be reached due to variables, but the authors help provide a good solution for such problems. The effective new results and solutions offered in this book should appeal to researchers, managers, and engineers in the production and service industries.

Variants of Evolutionary Algorithms for Real-World Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3642234240
Total Pages : 466 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Variants of Evolutionary Algorithms for Real-World Applications by : Raymond Chiong

Download or read book Variants of Evolutionary Algorithms for Real-World Applications written by Raymond Chiong and published by Springer Science & Business Media. This book was released on 2011-11-13 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolutionary Algorithms (EAs) are population-based, stochastic search algorithms that mimic natural evolution. Due to their ability to find excellent solutions for conventionally hard and dynamic problems within acceptable time, EAs have attracted interest from many researchers and practitioners in recent years. This book “Variants of Evolutionary Algorithms for Real-World Applications” aims to promote the practitioner’s view on EAs by providing a comprehensive discussion of how EAs can be adapted to the requirements of various applications in the real-world domains. It comprises 14 chapters, including an introductory chapter re-visiting the fundamental question of what an EA is and other chapters addressing a range of real-world problems such as production process planning, inventory system and supply chain network optimisation, task-based jobs assignment, planning for CNC-based work piece construction, mechanical/ship design tasks that involve runtime-intense simulations, data mining for the prediction of soil properties, automated tissue classification for MRI images, and database query optimisation, among others. These chapters demonstrate how different types of problems can be successfully solved using variants of EAs and how the solution approaches are constructed, in a way that can be understood and reproduced with little prior knowledge on optimisation.

Big Data Technologies and Applications

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Publisher : Springer Nature
ISBN 13 : 3031336143
Total Pages : 363 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Big Data Technologies and Applications by : Rui Hou

Download or read book Big Data Technologies and Applications written by Rui Hou and published by Springer Nature. This book was released on 2023-06-26 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed post-conference proceedings of the 11th and the 12th International Conference on Big Data Technologies and Applications, BDTA 2021 and BDTA 2022, held in December 2021 and 2022. Due to COVID-19 pandemic both conferences were held virtually. The 23 full papers of BDTA 2021 and BDTA 2022 were selected from 61 submissions and present all big data technologies, such as big data collection and storage, big data management and retrieval, big data mining approaches, big data visualization, and new domains and novel applications related to these technologies.

Industrial Applications of Holonic and Multi-Agent Systems

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Publisher : Springer
ISBN 13 : 3319646354
Total Pages : 270 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Industrial Applications of Holonic and Multi-Agent Systems by : Vladimír Mařík

Download or read book Industrial Applications of Holonic and Multi-Agent Systems written by Vladimír Mařík and published by Springer. This book was released on 2017-08-11 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 8th International Conference on Industrial Applications of Holonic and Multi-Agent Systems, HoloMAS 2017, held in Lyon, France, in August 2017. The 19 revised full papers presented were carefully reviewed and selected from 27 submissions. The papers are organized in the following topical sections: scheduling; knowledge engineering; modeling, simulation and reconfiguration; energy systems;and MAS in various areas.

Research Methods: Concepts, Methodologies, Tools, and Applications

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Publisher : IGI Global
ISBN 13 : 1466674571
Total Pages : 2072 pages
Book Rating : 4.4/5 (666 download)

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Book Synopsis Research Methods: Concepts, Methodologies, Tools, and Applications by : Management Association, Information Resources

Download or read book Research Methods: Concepts, Methodologies, Tools, and Applications written by Management Association, Information Resources and published by IGI Global. This book was released on 2015-01-31 with total page 2072 pages. Available in PDF, EPUB and Kindle. Book excerpt: Across a variety of disciplines, data and statistics form the backbone of knowledge. To ensure the reliability and validity of data, appropriate measures must be taken in conducting studies and reporting findings. Research Methods: Concepts, Methodologies, Tools, and Applications compiles chapters on key considerations in the management, development, and distribution of data. With its focus on both fundamental concepts and advanced topics, this multi-volume reference work will be a valuable addition to researchers, scholars, and students of science, mathematics, and engineering.

Intelligent Systems Design and Applications

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Publisher : Springer
ISBN 13 : 3319534807
Total Pages : 1086 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Intelligent Systems Design and Applications by : Ana Maria Madureira

Download or read book Intelligent Systems Design and Applications written by Ana Maria Madureira and published by Springer. This book was released on 2017-02-22 with total page 1086 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises selected papers from the 16th International Conference on Intelligent Systems Design and Applications (ISDA’16), which was held in Porto, Portugal from December 1 to16, 2016. ISDA 2016 was jointly organized by the Portugual-based Instituto Superior de Engenharia do Porto and the US-based Machine Intelligence Research Labs (MIR Labs) to serve as a forum for the dissemination of state-of-the-art research and development of intelligent systems, intelligent technologies, and applications. The papers included address a wide variety of themes ranging from theories to applications of intelligent systems and computational intelligence area and provide a valuable resource for students and researchers in academia and industry alike.

Software Engineering Research, Management and Applications

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Publisher : Springer
ISBN 13 : 3540705619
Total Pages : 248 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Software Engineering Research, Management and Applications by : Roger Lee

Download or read book Software Engineering Research, Management and Applications written by Roger Lee and published by Springer. This book was released on 2009-01-29 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 6th ACIS International Conference on Software Engineering, Research, Management and Applications (SERA 2008) was held in Prague in the Czech Republic on August 20 – 22. SERA ’08 featured excellent theoretical and practical contributions in the areas of formal methods and tools, requirements engineering, software process models, communication systems and networks, software quality and evaluation, software engineering, networks and mobile computing, parallel/distributed computing, software testing, reuse and metrics, database retrieval, computer security, software architectures and modeling. Our conference officers selected the best 17 papers from those papers accepted for presentation at the conference in order to publish them in this volume. The papers were chosen based on review scores submitted by members or the program committee, and underwent further rounds of rigorous review.

Supply Chain Optimization, Design, and Management: Advances and Intelligent Methods

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Publisher : IGI Global
ISBN 13 : 1615206345
Total Pages : 338 pages
Book Rating : 4.6/5 (152 download)

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Book Synopsis Supply Chain Optimization, Design, and Management: Advances and Intelligent Methods by : Minis, Ioannis

Download or read book Supply Chain Optimization, Design, and Management: Advances and Intelligent Methods written by Minis, Ioannis and published by IGI Global. This book was released on 2010-12-31 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Intelligence (CI) is a term corresponding to a new generation of algorithmic methodologies in artificial intelligence, which combines elements of learning, adaptation, evolution and approximate (fuzzy) reasoning to create programs that can be considered intelligent. Supply Chain Optimization, Design, and Management: Advances and Intelligent Methods presents computational intelligence methods for addressing supply chain issues. Emphasis is given to techniques that provide effective solutions to complex supply chain problems and exhibit superior performance to other methods of operations research.

Scheduling in Industry 4.0 and Cloud Manufacturing

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Publisher : Springer Nature
ISBN 13 : 3030431770
Total Pages : 274 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Scheduling in Industry 4.0 and Cloud Manufacturing by : Boris Sokolov

Download or read book Scheduling in Industry 4.0 and Cloud Manufacturing written by Boris Sokolov and published by Springer Nature. This book was released on 2020-06-08 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has resulted from the activities of IFAC TC 5.2 “Manufacturing Modelling for Management and Control”. The book offers an introduction and advanced techniques of scheduling applications to cloud manufacturing and Industry 4.0 systems for larger audience. This book uncovers fundamental principles and recent developments in the theory and application of scheduling methodology to cloud manufacturing and Industry 4.0. The purpose of this book is to present recent developments in scheduling in cloud manufacturing and Industry 4.0 and to systemize these developments in new taxonomies and methodological principles to shape this new research domain. This book addresses the needs of both researchers and practitioners to uncover the challenges and opportunities of scheduling techniques’ applications to cloud manufacturing and Industry 4.0. For the first time, it comprehensively conceptualizes scheduling in cloud manufacturing and Industry 4.0 systems as a new research domain. The chapters of the book are written by the leading international experts and utilize methods of operations research, industrial engineering and computer science. Such a multi-disciplinary combination is unique and comprehensively deciphers major problem taxonomies, methodologies, and applications to scheduling in cloud manufacturing and Industry 4.0.

Swarm Intelligence and Bio-Inspired Computation

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Publisher : Newnes
ISBN 13 : 0124051774
Total Pages : 450 pages
Book Rating : 4.1/5 (24 download)

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Book Synopsis Swarm Intelligence and Bio-Inspired Computation by : Xin-She Yang

Download or read book Swarm Intelligence and Bio-Inspired Computation written by Xin-She Yang and published by Newnes. This book was released on 2013-05-16 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Swarm Intelligence and bio-inspired computation have become increasing popular in the last two decades. Bio-inspired algorithms such as ant colony algorithms, bat algorithms, bee algorithms, firefly algorithms, cuckoo search and particle swarm optimization have been applied in almost every area of science and engineering with a dramatic increase of number of relevant publications. This book reviews the latest developments in swarm intelligence and bio-inspired computation from both the theory and application side, providing a complete resource that analyzes and discusses the latest and future trends in research directions. It can help new researchers to carry out timely research and inspire readers to develop new algorithms. With its impressive breadth and depth, this book will be useful for advanced undergraduate students, PhD students and lecturers in computer science, engineering and science as well as researchers and engineers. Focuses on the introduction and analysis of key algorithms Includes case studies for real-world applications Contains a balance of theory and applications, so readers who are interested in either algorithm or applications will all benefit from this timely book.

Service Research Challenges and Solutions for the Future Internet

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Publisher : Springer
ISBN 13 : 3642175996
Total Pages : 372 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Service Research Challenges and Solutions for the Future Internet by : M. Papazoglou

Download or read book Service Research Challenges and Solutions for the Future Internet written by M. Papazoglou and published by Springer. This book was released on 2010-12-15 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: S-Cube’s Foundations for the Internet of Services Today’s Internet is standing at a crossroads. The Internet has evolved from a source of information to a critical infrastructure which underpins our lives and economies. The demand for more multimedia content, more interconnected devices, more users, a richer user experience, services available any time and anywhere increases the pressure on existing networks and service platforms. The Internet needs a fundamental rearrangement to be ready to meet future needs. One of the areas of research for the Future Internet is the Internet of S- vices, a vision of the Internet where everything (e. g. , information, software, platforms and infrastructures) is available as a service. Services available on the Internet of Services can be used by anyone (if they are used according to the policies de?ned by the provider) and they can be extended with new services by anyone. Advantages of the Internet of Services include the p- sibility to build upon other people’s e?orts and the little investment needed upfront to develop an application. The risk involved in pursuing new business ideas is diminished, and might lead to more innovative ideas being tried out in practice. It will lead to the appearance of new companies that are able to operate in niche areas, providing services to other companies that will be able to focus on their core business.

Advances in Evolutionary and Deterministic Methods for Design, Optimization and Control in Engineering and Sciences

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Publisher : Springer
ISBN 13 : 3319899880
Total Pages : 566 pages
Book Rating : 4.3/5 (198 download)

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Book Synopsis Advances in Evolutionary and Deterministic Methods for Design, Optimization and Control in Engineering and Sciences by : Edmondo Minisci

Download or read book Advances in Evolutionary and Deterministic Methods for Design, Optimization and Control in Engineering and Sciences written by Edmondo Minisci and published by Springer. This book was released on 2018-07-02 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents up-to-date material on the state of the art in evolutionary and deterministic methods for design, optimization and control with applications to industrial and societal problems from Europe, Asia, and America. EUROGEN 2015 was the 11th of a series of International Conferences devoted to bringing together specialists from universities, research institutions and industries developing or applying evolutionary and deterministic methods in design optimization, with emphasis on solving industrial and societal problems. The conference was organised around a number of parallel symposia, regular sessions, and keynote lectures focused on surrogate-based optimization in aerodynamic design, adjoint methods for steady & unsteady optimization, multi-disciplinary design optimization, holistic optimization in marine design, game strategies combined with evolutionary computation, optimization under uncertainty, topology optimization, optimal planning, shape optimization, and production scheduling.

Optimization of Schedules with Heterogeneous Train Structure in Plan-ning of Railway Lines

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Publisher : BoD – Books on Demand
ISBN 13 : 3749485062
Total Pages : 146 pages
Book Rating : 4.7/5 (494 download)

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Book Synopsis Optimization of Schedules with Heterogeneous Train Structure in Plan-ning of Railway Lines by : Hyoung June Kim

Download or read book Optimization of Schedules with Heterogeneous Train Structure in Plan-ning of Railway Lines written by Hyoung June Kim and published by BoD – Books on Demand. This book was released on 2020-06-23 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most important things to consider before constructing a railway is the train operating program. However, the analysis of the operating program based train schedule in the railway planning stage is carried out mainly on the basis of the intuitive experiences of the planner, and the optimization of the train schedule under various conditions is not properly considered. This study analyzes the optimization of heterogeneous train scheduling structures with minimizing the weighted scheduled waiting time and with the decision of Subsidiary Main Track (SMT) for overtaking of high-speed trains on the railway line. As a way for analyzing the Optimal Train Schedule (OTS) under constraint conditions, the genetic algorithm is used. The genetic algorithm is widely applied to various optimization and decision-making problems in engineering, natural sciences, business administration, and social sciences. The proposed method can examine train schedules for more scenarios, apply quantitative evaluation criteria, and review concrete infrastructures in comparison to the existing empirical method used in South Korea.

Evolutionary Computation in Combinatorial Optimization

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Publisher : Springer
ISBN 13 : 3642371981
Total Pages : 275 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Evolutionary Computation in Combinatorial Optimization by : Martin Middendorf

Download or read book Evolutionary Computation in Combinatorial Optimization written by Martin Middendorf and published by Springer. This book was released on 2013-03-12 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th European Conference on Evolutionary Computation in Combinatorial Optimization, EvoCOP 2013, held in Vienna, Austria, in April 2013, colocated with the Evo* 2013 events EuroGP, EvoBIO, EvoMUSART, and EvoApplications. The 23 revised full papers presented were carefully reviewed and selected from 50 submissions. The papers present the latest research and discuss current developments and applications in metaheuristics - a paradigm to effectively solve difficult combinatorial optimization problems appearing in various industrial, economic, and scientific domains. Prominent examples of metaheuristics are ant colony optimization, evolutionary algorithms, greedy randomized adaptive search procedures, iterated local search, simulated annealing, tabu search, and variable neighborhood search. Applications include scheduling, timetabling, network design, transportation and distribution, vehicle routing, the travelling salesman problem, packing and cutting, satisfiability, and general mixed integer programming.