Multi Parametric Programming

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Multi-parametric Optimization and Control

Author : Efstratios N. Pistikopoulos
Publisher : John Wiley & Sons
ISBN 13 : 1119265185
Total Pages : 320 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Multi-parametric Optimization and Control by : Efstratios N. Pistikopoulos

Download or read book Multi-parametric Optimization and Control written by Efstratios N. Pistikopoulos and published by John Wiley & Sons. This book was released on 2020-11-24 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in multi-parametric optimization and control Multi-Parametric Optimization and Control provides comprehensive coverage of recent methodological developments for optimal model-based control through parametric optimization. It also shares real-world research applications to support deeper understanding of the material. Researchers and practitioners can use the book as reference. It is also suitable as a primary or a supplementary textbook. Each chapter looks at the theories related to a topic along with a relevant case study. Topic complexity increases gradually as readers progress through the chapters. The first part of the book presents an overview of the state-of-the-art multi-parametric optimization theory and algorithms in multi-parametric programming. The second examines the connection between multi-parametric programming and model-predictive control—from the linear quadratic regulator over hybrid systems to periodic systems and robust control. The third part of the book addresses multi-parametric optimization in process systems engineering. A step-by-step procedure is introduced for embedding the programming within the system engineering, which leads the reader into the topic of the PAROC framework and software platform. PAROC is an integrated framework and platform for the optimization and advanced model-based control of process systems. Uses case studies to illustrate real-world applications for a better understanding of the concepts presented Covers the fundamentals of optimization and model predictive control Provides information on key topics, such as the basic sensitivity theorem, linear programming, quadratic programming, mixed-integer linear programming, optimal control of continuous systems, and multi-parametric optimal control An appendix summarizes the history of multi-parametric optimization algorithms. It also covers the use of the parametric optimization toolbox (POP), which is comprehensive software for efficiently solving multi-parametric programming problems.

Multi-Parametric Programming

Author : Efstratios N. Pistikopoulos
Publisher : Wiley-VCH
ISBN 13 :
Total Pages : 336 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Multi-Parametric Programming by : Efstratios N. Pistikopoulos

Download or read book Multi-Parametric Programming written by Efstratios N. Pistikopoulos and published by Wiley-VCH. This book was released on 2007-04-09 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first book to cover all aspects of multi-parametric programming and its applications in process systems engineering includes theoretical developments and algorithms in multi-parametric programming with applications from the manufacturing sector and energy and environment analysis. The volume thus reflects the importance of fundamental research in multi-parametric programming applications, developing mechanisms for the transfer of the new technology to industrial problems. Since the topic applies to a wide range of process systems, as well as due to the interdisciplinary expertise required to solve the challenge, this reference will find a broad readership. Inspired by the leading authority in the field, the Centre for Process Systems Engineering at Imperial College London.

Advances in Sensitivity Analysis and Parametric Programming

Author : Tomas Gal
Publisher : Springer Science & Business Media
ISBN 13 : 1461561035
Total Pages : 595 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Advances in Sensitivity Analysis and Parametric Programming by : Tomas Gal

Download or read book Advances in Sensitivity Analysis and Parametric Programming written by Tomas Gal and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: The standard view of Operations Research/Management Science (OR/MS) dichotomizes the field into deterministic and probabilistic (nondeterministic, stochastic) subfields. This division can be seen by reading the contents page of just about any OR/MS textbook. The mathematical models that help to define OR/MS are usually presented in terms of one subfield or the other. This separation comes about somewhat artificially: academic courses are conveniently subdivided with respect to prerequisites; an initial overview of OR/MS can be presented without requiring knowledge of probability and statistics; text books are conveniently divided into two related semester courses, with deterministic models coming first; academics tend to specialize in one subfield or the other; and practitioners also tend to be expert in a single subfield. But, no matter who is involved in an OR/MS modeling situation (deterministic or probabilistic - academic or practitioner), it is clear that a proper and correct treatment of any problem situation is accomplished only when the analysis cuts across this dichotomy.

Multi-level Mixed-Integer Optimization

Author : Styliani Avraamidou
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311076038X
Total Pages : 139 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Multi-level Mixed-Integer Optimization by : Styliani Avraamidou

Download or read book Multi-level Mixed-Integer Optimization written by Styliani Avraamidou and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-06-06 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the fundamental underlying mathematical theory, numerical algorithms and effi cient computational tools for the solution of multi-level mixedinteger optimization problems. It can enable a vast array of decision makers and engineers (e.g. process engineers, bioengineers, chemical and civil engineers, and economists) to model, formulate and solve hierarchical decision making problems. The book gives detailed insights on multi-level optimization by comprehensive explanations, step-by-step numerical examples and case studies, plots, and diagrams.

Uncertainty-aware Integration of Control with Process Operations and Multi-parametric Programming Under Global Uncertainty

Author : Vassilis M. Charitopoulos
Publisher : Springer Nature
ISBN 13 : 3030381374
Total Pages : 285 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Uncertainty-aware Integration of Control with Process Operations and Multi-parametric Programming Under Global Uncertainty by : Vassilis M. Charitopoulos

Download or read book Uncertainty-aware Integration of Control with Process Operations and Multi-parametric Programming Under Global Uncertainty written by Vassilis M. Charitopoulos and published by Springer Nature. This book was released on 2020-02-05 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces models and methodologies that can be employed towards making the Industry 4.0 vision a reality within the process industries, and at the same time investigates the impact of uncertainties in such highly integrated settings. Advances in computing power along with the widespread availability of data have led process industries to consider a new paradigm for automated and more efficient operations. The book presents a theoretically proven optimal solution to multi-parametric linear and mixed-integer linear programs and efficient solutions to problems such as process scheduling and design under global uncertainty. It also proposes a systematic framework for the uncertainty-aware integration of planning, scheduling and control, based on the judicious coupling of reactive and proactive methods. Using these developments, the book demonstrates how the integration of different decision-making layers and their simultaneous optimisation can enhance industrial process operations and their economic resilience in the face of uncertainty.

Explicit Nonlinear Model Predictive Control

Author : Alexandra Grancharova
Publisher : Springer
ISBN 13 : 3642287808
Total Pages : 241 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Explicit Nonlinear Model Predictive Control by : Alexandra Grancharova

Download or read book Explicit Nonlinear Model Predictive Control written by Alexandra Grancharova and published by Springer. This book was released on 2012-03-22 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Model Predictive Control (NMPC) has become the accepted methodology to solve complex control problems related to process industries. The main motivation behind explicit NMPC is that an explicit state feedback law avoids the need for executing a numerical optimization algorithm in real time. The benefits of an explicit solution, in addition to the efficient on-line computations, include also verifiability of the implementation and the possibility to design embedded control systems with low software and hardware complexity. This book considers the multi-parametric Nonlinear Programming (mp-NLP) approaches to explicit approximate NMPC of constrained nonlinear systems, developed by the authors, as well as their applications to various NMPC problem formulations and several case studies. The following types of nonlinear systems are considered, resulting in different NMPC problem formulations: ؠ Nonlinear systems described by first-principles models and nonlinear systems described by black-box models; - Nonlinear systems with continuous control inputs and nonlinear systems with quantized control inputs; - Nonlinear systems without uncertainty and nonlinear systems with uncertainties (polyhedral description of uncertainty and stochastic description of uncertainty); - Nonlinear systems, consisting of interconnected nonlinear sub-systems. The proposed mp-NLP approaches are illustrated with applications to several case studies, which are taken from diverse areas such as automotive mechatronics, compressor control, combustion plant control, reactor control, pH maintaining system control, cart and spring system control, and diving computers.

Mixed-integer Multi-level Optimization Through Multi-parametric Programming

Author : Styliani Avraamidou
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (11 download)

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Book Synopsis Mixed-integer Multi-level Optimization Through Multi-parametric Programming by : Styliani Avraamidou

Download or read book Mixed-integer Multi-level Optimization Through Multi-parametric Programming written by Styliani Avraamidou and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multi-Parametric Model-Based Control

Author :
Publisher : Wiley-VCH
ISBN 13 : 9783527316922
Total Pages : 0 pages
Book Rating : 4.3/5 (169 download)

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Book Synopsis Multi-Parametric Model-Based Control by :

Download or read book Multi-Parametric Model-Based Control written by and published by Wiley-VCH. This book was released on 2007-04-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers theoretical advances and developments, computational challenges and tools as well as applications in the area of multi-parametric model based control. Part I is concerned with the presentation of algorithms for parametric model based control focusing on: - novel frameworks for the derivation of explicit optimal control policies for continuous time-linear dynamic systems - new theoretical developments on hybrid model based control - methods for obtaining the explicit robust model-based tracking control - theoretical frameworks for parametric dynamic optimization and - recent developments for continuous-time systems Part II presents a series of application in the following areas: - the incorporation of advanced model based controllers in a simultaneous process design and control framework for complex separation systems - the development of advanced model based control techniques for regulating the blood glucose for patients with Type 1 diabetes - the design of model predictive and parametric controllers for anesthesia. - the development of optimal control policies in a pilot plant exothermic reactor The volume is intended for academics and researchers that carry out model based control research, industrial practitioners involved in the control of new and existing processes and products, policy makers, as well as for educational purposes both in academia and industry.

Predictive Control for Linear and Hybrid Systems

Author : Francesco Borrelli
Publisher : Cambridge University Press
ISBN 13 : 1107016886
Total Pages : 447 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Predictive Control for Linear and Hybrid Systems by : Francesco Borrelli

Download or read book Predictive Control for Linear and Hybrid Systems written by Francesco Borrelli and published by Cambridge University Press. This book was released on 2017-06-22 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a simple approach that includes real-time applications and algorithms, this book covers the theory of model predictive control (MPC).

Model-based Multi-parametric Programming Strategies Towards the Integration of Design, Control and Operational Optimization

Author : Nikolaos Diangelakis
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Model-based Multi-parametric Programming Strategies Towards the Integration of Design, Control and Operational Optimization by : Nikolaos Diangelakis

Download or read book Model-based Multi-parametric Programming Strategies Towards the Integration of Design, Control and Operational Optimization written by Nikolaos Diangelakis and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Simulation-Based Optimization

Author : Abhijit Gosavi
Publisher : Springer
ISBN 13 : 1489974911
Total Pages : 530 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Simulation-Based Optimization by : Abhijit Gosavi

Download or read book Simulation-Based Optimization written by Abhijit Gosavi and published by Springer. This book was released on 2014-10-30 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simulation-Based Optimization: Parametric Optimization Techniques and Reinforcement Learning introduce the evolving area of static and dynamic simulation-based optimization. Covered in detail are model-free optimization techniques – especially designed for those discrete-event, stochastic systems which can be simulated but whose analytical models are difficult to find in closed mathematical forms. Key features of this revised and improved Second Edition include: · Extensive coverage, via step-by-step recipes, of powerful new algorithms for static simulation optimization, including simultaneous perturbation, backtracking adaptive search and nested partitions, in addition to traditional methods, such as response surfaces, Nelder-Mead search and meta-heuristics (simulated annealing, tabu search, and genetic algorithms) · Detailed coverage of the Bellman equation framework for Markov Decision Processes (MDPs), along with dynamic programming (value and policy iteration) for discounted, average, and total reward performance metrics · An in-depth consideration of dynamic simulation optimization via temporal differences and Reinforcement Learning: Q-Learning, SARSA, and R-SMART algorithms, and policy search, via API, Q-P-Learning, actor-critics, and learning automata · A special examination of neural-network-based function approximation for Reinforcement Learning, semi-Markov decision processes (SMDPs), finite-horizon problems, two time scales, case studies for industrial tasks, computer codes (placed online) and convergence proofs, via Banach fixed point theory and Ordinary Differential Equations Themed around three areas in separate sets of chapters – Static Simulation Optimization, Reinforcement Learning and Convergence Analysis – this book is written for researchers and students in the fields of engineering (industrial, systems, electrical and computer), operations research, computer science and applied mathematics.

Multi-parametric Optimization and Control

Author : Efstratios N. Pistikopoulos
Publisher : John Wiley & Sons
ISBN 13 : 1119265150
Total Pages : 320 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Multi-parametric Optimization and Control by : Efstratios N. Pistikopoulos

Download or read book Multi-parametric Optimization and Control written by Efstratios N. Pistikopoulos and published by John Wiley & Sons. This book was released on 2020-11-02 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in multi-parametric optimization and control Multi-Parametric Optimization and Control provides comprehensive coverage of recent methodological developments for optimal model-based control through parametric optimization. It also shares real-world research applications to support deeper understanding of the material. Researchers and practitioners can use the book as reference. It is also suitable as a primary or a supplementary textbook. Each chapter looks at the theories related to a topic along with a relevant case study. Topic complexity increases gradually as readers progress through the chapters. The first part of the book presents an overview of the state-of-the-art multi-parametric optimization theory and algorithms in multi-parametric programming. The second examines the connection between multi-parametric programming and model-predictive control—from the linear quadratic regulator over hybrid systems to periodic systems and robust control. The third part of the book addresses multi-parametric optimization in process systems engineering. A step-by-step procedure is introduced for embedding the programming within the system engineering, which leads the reader into the topic of the PAROC framework and software platform. PAROC is an integrated framework and platform for the optimization and advanced model-based control of process systems. Uses case studies to illustrate real-world applications for a better understanding of the concepts presented Covers the fundamentals of optimization and model predictive control Provides information on key topics, such as the basic sensitivity theorem, linear programming, quadratic programming, mixed-integer linear programming, optimal control of continuous systems, and multi-parametric optimal control An appendix summarizes the history of multi-parametric optimization algorithms. It also covers the use of the parametric optimization toolbox (POP), which is comprehensive software for efficiently solving multi-parametric programming problems.

Parameterized Algorithms

Author : Marek Cygan
Publisher : Springer
ISBN 13 : 3319212753
Total Pages : 618 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Parameterized Algorithms by : Marek Cygan

Download or read book Parameterized Algorithms written by Marek Cygan and published by Springer. This book was released on 2015-07-20 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook presents a clean and coherent account of most fundamental tools and techniques in Parameterized Algorithms and is a self-contained guide to the area. The book covers many of the recent developments of the field, including application of important separators, branching based on linear programming, Cut & Count to obtain faster algorithms on tree decompositions, algorithms based on representative families of matroids, and use of the Strong Exponential Time Hypothesis. A number of older results are revisited and explained in a modern and didactic way. The book provides a toolbox of algorithmic techniques. Part I is an overview of basic techniques, each chapter discussing a certain algorithmic paradigm. The material covered in this part can be used for an introductory course on fixed-parameter tractability. Part II discusses more advanced and specialized algorithmic ideas, bringing the reader to the cutting edge of current research. Part III presents complexity results and lower bounds, giving negative evidence by way of W[1]-hardness, the Exponential Time Hypothesis, and kernelization lower bounds. All the results and concepts are introduced at a level accessible to graduate students and advanced undergraduate students. Every chapter is accompanied by exercises, many with hints, while the bibliographic notes point to original publications and related work.

Gröbner Bases and Applications

Author : Bruno Buchberger
Publisher : Cambridge University Press
ISBN 13 : 9780521632980
Total Pages : 566 pages
Book Rating : 4.6/5 (329 download)

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Book Synopsis Gröbner Bases and Applications by : Bruno Buchberger

Download or read book Gröbner Bases and Applications written by Bruno Buchberger and published by Cambridge University Press. This book was released on 1998-02-26 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive account of theory and applications of Gröbner bases, co-edited by the subject's inventor.

Multi-parametric Linear Programming

Author : Abdel Kader Hamza
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (841 download)

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Book Synopsis Multi-parametric Linear Programming by : Abdel Kader Hamza

Download or read book Multi-parametric Linear Programming written by Abdel Kader Hamza and published by . This book was released on 1983 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fuzzy Linear Programming: Solution Techniques and Applications

Author : Seyed Hadi Nasseri
Publisher : Springer
ISBN 13 : 3030174212
Total Pages : 232 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Fuzzy Linear Programming: Solution Techniques and Applications by : Seyed Hadi Nasseri

Download or read book Fuzzy Linear Programming: Solution Techniques and Applications written by Seyed Hadi Nasseri and published by Springer. This book was released on 2019-05-29 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the necessary and essential backgrounds of fuzzy set theory and linear programming, particularly a broad range of common Fuzzy Linear Programming (FLP) models and related, convenient solution techniques. These models and methods belong to three common classes of fuzzy linear programming, namely: (i) FLP problems in which all coefficients are fuzzy numbers, (ii) FLP problems in which the right-hand-side vectors and the decision variables are fuzzy numbers, and (iii) FLP problems in which the cost coefficients, the right-hand-side vectors and the decision variables are fuzzy numbers. The book essentially generalizes the well-known solution algorithms used in linear programming to the fuzzy environment. Accordingly, it can be used not only as a textbook, teaching material or reference book for undergraduate and graduate students in courses on applied mathematics, computer science, management science, industrial engineering, artificial intelligence, fuzzy information processes, and operations research, but can also serve as a reference book for researchers in these fields, especially those engaged in optimization and soft computing. For textbook purposes, it also includes simple and illustrative examples to help readers who are new to the field.

Lectures on Stochastic Programming

Author : Alexander Shapiro
Publisher : SIAM
ISBN 13 : 0898718759
Total Pages : 447 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Lectures on Stochastic Programming by : Alexander Shapiro

Download or read book Lectures on Stochastic Programming written by Alexander Shapiro and published by SIAM. This book was released on 2009-01-01 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization problems involving stochastic models occur in almost all areas of science and engineering, such as telecommunications, medicine, and finance. Their existence compels a need for rigorous ways of formulating, analyzing, and solving such problems. This book focuses on optimization problems involving uncertain parameters and covers the theoretical foundations and recent advances in areas where stochastic models are available. Readers will find coverage of the basic concepts of modeling these problems, including recourse actions and the nonanticipativity principle. The book also includes the theory of two-stage and multistage stochastic programming problems; the current state of the theory on chance (probabilistic) constraints, including the structure of the problems, optimality theory, and duality; and statistical inference in and risk-averse approaches to stochastic programming.