János D. Pintér - Böcker

Optimization models based on a nonlinear systems description often possess multiple local optima. The objective of global optimization (GO) is to find the best possible solution of multiextremal problems. This volume illustrates the applicability of GO modeling techniques and solution strategies to real-world problems. The contributed chapters cover a broad range of applications from agroecosystem management, assembly line design, bioinformatics, biophysics, black box systems optimization, cellular mobile network design, chemical process optimization, chemical product design, composite structure design, computational modeling of atomic and molecular structures, controller design for induction motors, electrical engineering design, feeding strategies in animal husbandry, the inverse position problem in kinematics, laser design, learning in neural nets, mechanical engineering design, numerical solution of equations, radiotherapy planning, robot design, and satellite data analysis. The solution strategies discussed encompass a range of practically viable methods, including both theoretically rigorous and heuristic approaches.

One service mathematics has rendered the 'Et moi, ...* si j'avait su comment en revenir. je n'y serais point aIle.' human mee. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ...'; 'One service logic has rendered com- puter science ...'; 'One service category theory has rendered mathematics ...'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

In science, engineering and economics, decision problems are frequently modelled by optimizing the value of a (primary) objective function under stated feasibility constraints. In many cases of practical relevance, the optimization problem structure does not warrant the global optimality of local solutions; hence, it is natural to search for the globally best solution(s). This study provides a discussion of adaptive partition strategies to solve global optimization problems under very general structural requirements. A unified approach to numerous known algorithms makes possible straightforward generalizations and extensions, leading to efficient computer-based implementations. A considerable part of the book is devoted to applications, including some generic problems from numerical analysis, and several case studies in environmental systems analysis and management.

Optimization models based on a nonlinear systems description often possess multiple local optima. The objective of global optimization (GO) is to find the best possible solution of multiextremal problems. This volume illustrates the applicability of GO modeling techniques and solution strategies to real-world problems. The contributed chapters cover a broad range of applications from agroecosystem management, assembly line design, bioinformatics, biophysics, black box systems optimization, cellular mobile network design, chemical process optimization, chemical product design, composite structure design, computational modeling of atomic and molecular structures, controller design for induction motors, electrical engineering design, feeding strategies in animal husbandry, the inverse position problem in kinematics, laser design, learning in neural nets, mechanical engineering design, numerical solution of equations, radiotherapy planning, robot design, and satellite data analysis. The solution strategies discussed encompass a range of practically viable methods, including both theoretically rigorous and heuristic approaches.

In science, engineering and economics, decision problems are frequently modelled by optimizing the value of a (primary) objective function under stated feasibility constraints. In many cases of practical relevance, the optimization problem structure does not warrant the global optimality of local solutions; hence, it is natural to search for the globally best solution(s). Global Optimization in Action provides a comprehensive discussion of adaptive partition strategies to solve global optimization problems under very general structural requirements. A unified approach to numerous known algorithms makes possible straightforward generalizations and extensions, leading to efficient computer-based implementations. A considerable part of the book is devoted to applications, including some generic problems from numerical analysis, and several case studies in environmental systems analysis and management. The book is essentially self-contained and is based on the author's research, in cooperation (on applications) with a number of colleagues.Audience: Professors, students, researchers and other professionals in the fields of operations research, management science, industrial and applied mathematics, computer science, engineering, economics and the environmental sciences.

This selection of key studies covering numerous core challenges in space engineering addresses classic space application problems, such as trajectory optimization, alongside new ones including multidisciplinary design optimization and optimal control theory.

This volume presents a selection of advanced case studies that address a substantial range of issues and challenges arising in space engineering. The contributing authors are well-recognized researchers and practitioners in space engineering and in applied optimization. The key mathematical modeling and numerical solution aspects of each application case study are presented in sufficient detail. Classic and more recent space engineering problems – including cargo accommodation and object placement, flight control of satellites, integrated design and trajectory optimization, interplanetary transfers with deep space manoeuvres, low energy transfers, magnetic cleanliness modeling, propulsion system design, sensor system placement, systems engineering, space traffic logistics, and trajectory optimization – are discussed. Novel points of view related to computational global optimization and optimal control, and to multidisciplinary design optimization are also given proper emphasis. A particular attention is paid also to scenarios expected in the context of future interplanetary explorations. Modeling and Optimization in Space Engineering will benefit researchers and practitioners working on space engineering applications. Academics, graduate and post-graduate students in the fields of aerospace and other engineering, applied mathematics, operations research and optimal control will also find the book useful, since it discusses a range of advanced model development and solution techniques and tools in the context of real-world applications and new challenges.

This book presents advanced case studies that address a range of important issues arising in space engineering. An overview of challenging operational scenarios is presented, with an in-depth exposition of related mathematical modeling, algorithmic and numerical solution aspects. The model development and optimization approaches discussed in the book can be extended also towards other application areas.The topics discussed illustrate current research trends and challenges in space engineering as summarized by the following list: •       Next Generation Gravity Missions•       Continuous-Thrust Trajectories by Evolutionary Neurocontrol•       Nonparametric Importance Sampling for Launcher Stage Fallout•       Dynamic System Control Dispatch•       OptimalLaunch Date of Interplanetary Missions•       Optimal Topological Design•       Evidence-Based Robust Optimization•       Interplanetary Trajectory Design by Machine Learning•       Real-Time Optimal Control•       Optimal Finite Thrust Orbital Transfers•       Planning and Scheduling of Multiple Satellite Missions•       Trajectory Performance Analysis•       Ascent Trajectory and Guidance Optimization•        Small Satellite Attitude Determination and Control •       Optimized Packings in Space Engineering•       Time-Optimal Transfers of All-Electric GEO Satellites Researchers working on space engineering applications will find this work a valuable, practical source of information. Academics, graduate and post-graduate students working in aerospace, engineering, applied mathematics, operations research, and optimal control will find useful information regarding model development and solution techniques, in conjunction with real-world applications.

This book features a selection of contributions that were presented at the Modeling and Optimization: Theory and Applications Conference (MOPTA) held at Lehigh University in B ethlehem, Pennsylvania, USA between August 16-18, 2017.

This book features a selection of contributions that were presented at the Modeling and Optimization: Theory and Applications Conference (MOPTA) held at Lehigh University in B ethlehem, Pennsylvania, USA between August 16-18, 2017.

This volume consists of 14 contributed chapters written by leading experts, offering in-depth discussions of the mathematical modeling and algorithmic aspects for tackling a range of space engineering applications.

This volume consists of 14 contributed chapters written by leading experts, offering in-depth discussions of the mathematical modeling and algorithmic aspects for tackling a range of space engineering applications.

This book provides a comprehensive exploration of the complex decision-making processes inherent in space engineering (SE) projects, focusing on the analysis, modeling, and optimization of these challenges. As SE projects evolve, they demand innovative solutions to balance mission viability, safety, technical feasibility, and cost-efficiency, all while addressing environmental concerns and the intricacies of international collaboration.The chapters cover a range of critical topics, including the optimization of mission resources, interplanetary explorations, and the integration of environmental constraints into mission planning. Contributions from leading experts in the field offer insights into the latest advancements in computational modeling and optimization techniques, making this volume an essential resource for understanding the multifaceted nature of SE projects. Readers will encounter detailed case studies and practical applications that illustrate the real-world challenges and solutions in SE.This book is an invaluable resource for researchers and practitioners in space engineering, as well as aerospace engineering graduate and postgraduate students. It offers a deep dive into the mathematical and algorithmic foundations of SE, providing a solid reference for those looking to extend these methodologies to other fields. Managers and decision-makers in aerospace and related industries will also find the insights presented here crucial for navigating the future of space exploration.

This volume presents a selection of case studies that address a substantial range of optimized object packings (OOP) and their applications. The contributing authors are well-recognized researchers and practitioners. The mathematical modelling and numerical solution aspects of each application case study are presented in sufficient detail. A broad range of OOP problems are discussed: these include various specific and non-standard container loading and object packing problems, as well as the stowing of hazardous and other materials on container ships, data centre resource management, automotive engineering design, space station logistic support, cutting and packing problems with placement constraints, the optimal design of LED street lighting, robust sensor deployment strategies, spatial scheduling problems, and graph coloring models and metaheuristics for packing applications. Novel points of view related to model development and to computational nonlinear, global, mixed integer optimization and heuristic strategies are also discussed.Optimized Packings with Applications will benefit researchers and practitioners working on a broad range of topical engineering and operations research applications. Academics, graduate and post-graduate students in the fields of engineering, applied mathematics, operations research and optimization will also find the book useful, since it discusses a range of advanced model development and solution techniques and tools in the context of real-world applications and new challenges.

This book presents a selection of advanced case studies that cover a substantial range of issues and real-world challenges and applications in space engineering. Vital mathematical modeling, optimization methodologies and numerical solution aspects of each application case study are presented in detail, with discussions of a range of advanced model development and solution techniques and tools.Space engineering challenges are discussed in the following contexts: •Advanced Space Vehicle Design•Computation of Optimal Low Thrust Transfers•Indirect Optimization of Spacecraft Trajectories•Resource-Constrained Scheduling,•Packing Problems in Space•Design of Complex Interplanetary Trajectories•Satellite Constellation Image Acquisition•Re-entry Test Vehicle Configuration Selection•Collision Risk Assessment on Perturbed Orbits•Optimal Robust Design of Hybrid Rocket Engines•Nonlinear Regression Analysis in Space Engineering•Regression-Based Sensitivity Analysis and Robust Design•Low-Thrust Multi-Revolution Orbit Transfers•Modeling and Optimization of Balance Layout Problems•Pilot-Induced Oscillations Alleviation•Modeling and Optimization of Hybrid Transfers to Near-Earth Objects•Probabilistic Safety Analysis of the Collision Between Space Debris and Satellite•Flatness-based Low-thrust Trajectory Optimization for Spacecraft Proximity OperationsThe contributing authors are expert researchers and practitioners in either the space engineering and/or in the applied optimization fields. Researchers and practitioners working in various applied aspects of space engineering will find this book practical and informative. Academics, graduate and post-graduate students in aerospace engineering, applied mathematics, operations research, optimization, and optimal control, will find this book useful.

This book presents a selection of advanced case studies that cover a substantial range of issues and real-world challenges and applications in space engineering. Vital mathematical modeling, optimization methodologies and numerical solution aspects of each application case study are presented in detail, with discussions of a range of advanced model development and solution techniques and tools.Space engineering challenges are discussed in the following contexts: •Advanced Space Vehicle Design•Computation of Optimal Low Thrust Transfers•Indirect Optimization of Spacecraft Trajectories•Resource-Constrained Scheduling,•Packing Problems in Space•Design of Complex Interplanetary Trajectories•Satellite Constellation Image Acquisition•Re-entry Test Vehicle Configuration Selection•Collision Risk Assessment on Perturbed Orbits•Optimal Robust Design of Hybrid Rocket Engines•Nonlinear Regression Analysis in Space Engineering•Regression-Based Sensitivity Analysis and Robust Design•Low-Thrust Multi-Revolution Orbit Transfers•Modeling and Optimization of Balance Layout Problems•Pilot-Induced Oscillations Alleviation•Modeling and Optimization of Hybrid Transfers to Near-Earth Objects•Probabilistic Safety Analysis of the Collision Between Space Debris and Satellite•Flatness-based Low-thrust Trajectory Optimization for Spacecraft Proximity OperationsThe contributing authors are expert researchers and practitioners in either the space engineering and/or in the applied optimization fields. Researchers and practitioners working in various applied aspects of space engineering will find this book practical and informative. Academics, graduate and post-graduate students in aerospace engineering, applied mathematics, operations research, optimization, and optimal control, will find this book useful.