Mathematical Programs With Equilibrium Constraints PDF Download
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Author | : Zhi-Quan Luo |
Publisher | : Cambridge University Press |
Total Pages | : 432 |
Release | : 1996-11-13 |
Genre | : Mathematics |
ISBN | : 9780521572903 |
Download Mathematical Programs with Equilibrium Constraints Book in PDF, ePub and Kindle
An extensive study for an important class of constrained optimisation problems known as Mathematical Programs with Equilibrium Constraints.
Author | : William E. Hart |
Publisher | : Springer Science & Business Media |
Total Pages | : 245 |
Release | : 2012-02-15 |
Genre | : Mathematics |
ISBN | : 146143226X |
Download Pyomo – Optimization Modeling in Python Book in PDF, ePub and Kindle
This book provides a complete and comprehensive reference/guide to Pyomo (Python Optimization Modeling Objects) for both beginning and advanced modelers, including students at the undergraduate and graduate levels, academic researchers, and practitioners. The text illustrates the breadth of the modeling and analysis capabilities that are supported by the software and support of complex real-world applications. Pyomo is an open source software package for formulating and solving large-scale optimization and operations research problems. The text begins with a tutorial on simple linear and integer programming models. A detailed reference of Pyomo's modeling components is illustrated with extensive examples, including a discussion of how to load data from data sources like spreadsheets and databases. Chapters describing advanced modeling capabilities for nonlinear and stochastic optimization are also included. The Pyomo software provides familiar modeling features within Python, a powerful dynamic programming language that has a very clear, readable syntax and intuitive object orientation. Pyomo includes Python classes for defining sparse sets, parameters, and variables, which can be used to formulate algebraic expressions that define objectives and constraints. Moreover, Pyomo can be used from a command-line interface and within Python's interactive command environment, which makes it easy to create Pyomo models, apply a variety of optimizers, and examine solutions. The software supports a different modeling approach than commercial AML (Algebraic Modeling Languages) tools, and is designed for flexibility, extensibility, portability, and maintainability but also maintains the central ideas in modern AMLs.
Author | : Zhi-Quan Luo |
Publisher | : Cambridge University Press |
Total Pages | : 430 |
Release | : 1996-11-13 |
Genre | : Mathematics |
ISBN | : 1316582612 |
Download Mathematical Programs with Equilibrium Constraints Book in PDF, ePub and Kindle
This book provides a solid foundation and an extensive study for an important class of constrained optimization problems known as Mathematical Programs with Equilibrium Constraints (MPEC), which are extensions of bilevel optimization problems. The book begins with the description of many source problems arising from engineering and economics that are amenable to treatment by the MPEC methodology. Error bounds and parametric analysis are the main tools to establish a theory of exact penalisation, a set of MPEC constraint qualifications and the first-order and second-order optimality conditions. The book also describes several iterative algorithms such as a penalty-based interior point algorithm, an implicit programming algorithm and a piecewise sequential quadratic programming algorithm for MPECs. Results in the book are expected to have significant impacts in such disciplines as engineering design, economics and game equilibria, and transportation planning, within all of which MPEC has a central role to play in the modelling of many practical problems.
Author | : Jiri Outrata |
Publisher | : Springer Science & Business Media |
Total Pages | : 281 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 1475728255 |
Download Nonsmooth Approach to Optimization Problems with Equilibrium Constraints Book in PDF, ePub and Kindle
In the early fifties, applied mathematicians, engineers and economists started to pay c10se attention to the optimization problems in which another (lower-Ievel) optimization problem arises as a side constraint. One of the motivating factors was the concept of the Stackelberg solution in game theory, together with its economic applications. Other problems have been encountered in the seventies in natural sciences and engineering. Many of them are of practical importance and have been extensively studied, mainly from the theoretical point of view. Later, applications to mechanics and network design have lead to an extension of the problem formulation: Constraints in form of variation al inequalities and complementarity problems were also admitted. The term "generalized bi level programming problems" was used at first but later, probably in Harker and Pang, 1988, a different terminology was introduced: Mathematical programs with equilibrium constraints, or simply, MPECs. In this book we adhere to MPEC terminology. A large number of papers deals with MPECs but, to our knowledge, there is only one monograph (Luo et al. , 1997). This monograph concentrates on optimality conditions and numerical methods. Our book is oriented similarly, but we focus on those MPECs which can be treated by the implicit programming approach: the equilibrium constraint locally defines a certain implicit function and allows to convert the problem into a mathematical program with a nonsmooth objective.
Author | : Michel Thera |
Publisher | : Springer Science & Business Media |
Total Pages | : 281 |
Release | : 2012-12-06 |
Genre | : Business & Economics |
ISBN | : 3642457800 |
Download Ill-posed Variational Problems and Regularization Techniques Book in PDF, ePub and Kindle
This book presents recent developments in the field of ill-posed variational problems and variational inequalities, covering a large range of theoretical, numerical and practical aspects. The main topics are: - Regularization techniques for equilibrium and fixed point problems, variational inequalities and complementary problems, - Links between approximation, penalization and regularization, - Bundle methods, nonsmooth optimization and regularization, - Error Bounds for regularized optimization problems.
Author | : Aram Arutyunov |
Publisher | : Springer Science & Business Media |
Total Pages | : 318 |
Release | : 2000-10-31 |
Genre | : Mathematics |
ISBN | : 9780792366553 |
Download Optimality Conditions: Abnormal and Degenerate Problems Book in PDF, ePub and Kindle
This book is devoted to one of the main questions of the theory of extremal problems, namely, to necessary and sufficient extremality conditions. The book consists of four parts. First, the abstract minimization problem with constraints is studied. The next chapter is devoted to one of the most important classes of extremal problems, the optimal control problem. Next, one of the main objects of the calculus of variations is studied, the integral quadratic form. Finally, local properties of smooth nonlinear mappings in a neighborhood of an abnormal point will be discussed. Audience: The book is intended for researchers interested in optimization problems. The book may also be useful for advanced students and postgraduate students.
Author | : Stephan Dempe |
Publisher | : Springer Science & Business Media |
Total Pages | : 281 |
Release | : 2006-09-19 |
Genre | : Mathematics |
ISBN | : 0387342214 |
Download Optimization with Multivalued Mappings Book in PDF, ePub and Kindle
This book focuses on the tremendous development that has taken place recently in the field of of nondifferentiable nonconvex optimization. Coverage includes the formulation of optimality conditions using different kinds of generalized derivatives for set-valued mappings (such as, for example, the co-derivative of Mordukhovich), the opening of new applications (the calibration of water supply systems), and the elaboration of new solution algorithms (e.g., smoothing methods).
Author | : Brian Baumrucker |
Publisher | : |
Total Pages | : 0 |
Release | : 2009 |
Genre | : |
ISBN | : |
Download Mathematical Programs with Equilibrium Constraints (MPECs) in Process Systems Engineering Book in PDF, ePub and Kindle
Author | : Hoai An Le Thi |
Publisher | : Springer |
Total Pages | : 1164 |
Release | : 2019-06-15 |
Genre | : Technology & Engineering |
ISBN | : 3030218031 |
Download Optimization of Complex Systems: Theory, Models, Algorithms and Applications Book in PDF, ePub and Kindle
This book contains 112 papers selected from about 250 submissions to the 6th World Congress on Global Optimization (WCGO 2019) which takes place on July 8–10, 2019 at University of Lorraine, Metz, France. The book covers both theoretical and algorithmic aspects of Nonconvex Optimization, as well as its applications to modeling and solving decision problems in various domains. It is composed of 10 parts, each of them deals with either the theory and/or methods in a branch of optimization such as Continuous optimization, DC Programming and DCA, Discrete optimization & Network optimization, Multiobjective programming, Optimization under uncertainty, or models and optimization methods in a specific application area including Data science, Economics & Finance, Energy & Water management, Engineering systems, Transportation, Logistics, Resource allocation & Production management. The researchers and practitioners working in Nonconvex Optimization and several application areas can find here many inspiring ideas and useful tools & techniques for their works.
Author | : Arvind Uppili Raghunathan |
Publisher | : |
Total Pages | : 0 |
Release | : 2004 |
Genre | : |
ISBN | : |
Download Mathematical Programs with Equilibrium Constraints (MPECs) in Process Engineering Book in PDF, ePub and Kindle