{"title":"Nonconvex Optimization And Its Applications","description":null,"products":[{"product_id":"if-god-spare-my-life-book-brian-moynahan-9780316860925","title":"If God Spare My Life","description":"William Tyndale, translator of the New Testament in 1525, is one of history's most famous martyrs, burned for heresy in 1536. This account ties Sir Thomas More, newly named patron saint of politicians, to the betrayal and burning of Tyndale, examining in detail the feud between the two men.","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49520206807313,"sku":"GOR002693602","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ GOOD \/ INTERNAL","offer_id":49637663998225,"sku":"GOR002806221","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ GOOD \/ SBYB","offer_id":50349132874001,"sku":"CIN0316860921G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50889317777681,"sku":"CIN0316860921VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0316860921.jpg?v=1751071481"},{"product_id":"convexification-and-global-optimization-in-continuous-and-mixed-integer-nonlinea-book-mohit-tawarmalani-9781402010316","title":"Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming","description":"Interest in constrained optimization originated with the simple linear pro­ gramming model since it was practical and perhaps the only computationally tractable model at the time. Constrained linear optimization models were soon adopted in numerous application areas and are perhaps the most widely used mathematical models in operations research and management science at the time of this writing. Modelers have, however, found the assumption of linearity to be overly restrictive in expressing the real-world phenomena and problems in economics, finance, business, communication, engineering design, computational biology, and other areas that frequently demand the use of nonlinear expressions and discrete variables in optimization models. Both of these extensions of the linear programming model are NP-hard, thus representing very challenging problems. On the brighter side, recent advances in algorithmic and computing technology make it possible to re­ visit these problems with the hope of solving practically relevant problems in reasonable amounts of computational time. Initial attempts at solving nonlinear programs concentrated on the de­ velopment of local optimization methods guaranteeing globality under the assumption of convexity. On the other hand, the integer programming liter­ ature has concentrated on the development of methods that ensure global optima. The aim of this book is to marry the advancements in solving nonlinear and integer programming models and to develop new results in the more general framework of mixed-integer nonlinear programs (MINLPs) with the goal of devising practically efficient global optimization algorithms for MINLPs.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50372174348561,"sku":"CIN1402010311G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52433975607569,"sku":"NLS9781402010316","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1402008694.jpg?v=1751083747"},{"product_id":"neural-networks-in-optimization-book-xiang-sun-zhang-9780792365150","title":"Neural Networks in Optimization","description":"People are facing more and more NP-complete or NP-hard problems of a combinatorial nature and of a continuous nature in economic, military and management practice. There are two ways in which one can enhance the efficiency of searching for the solutions of these problems. The first is to improve the speed and memory capacity of hardware. We all have witnessed the computer industry's amazing achievements with hardware and software developments over the last twenty years. On one hand many computers, bought only a few years ago, are being sent to elementary schools for children to learn the ABC's of computing. On the other hand, with economic, scientific and military developments, it seems that the increase of intricacy and the size of newly arising problems have no end. We all realize then that the second way, to design good algorithms, will definitely compensate for the hardware limitations in the case of complicated problems. It is the collective and parallel computation property of artificial neural net­ works that has activated the enthusiasm of researchers in the field of computer science and applied mathematics. It is hard to say that artificial neural networks are solvers of the above-mentioned dilemma, but at least they throw some new light on the difficulties we face. We not only anticipate that there will be neural computers with intelligence but we also believe that the research results of artificial neural networks might lead to new algorithms on von Neumann's computers.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51007225200913,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51007227592977,"sku":"NIN9780792365150","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52147611205905,"sku":"NLS9780792365150","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0792365151.jpg?v=1751137913"},{"product_id":"minimax-and-applications-book-ding-zhu-du-9781461335597","title":"Minimax and Applications","description":"Techniques and principles of minimax theory play a key role in many areas of research, including game theory, optimization, and computational complexity. In general, a minimax problem can be formulated as min max f(x, y) (1) \",EX !lEY where f(x, y) is a function defined on the product of X and Y spaces. There are two basic issues regarding minimax problems: The first issue concerns the establishment of sufficient and necessary conditions for equality minmaxf(x,y) = maxminf(x,y). (2) \"'EX !lEY !lEY \"'EX The classical minimax theorem of von Neumann is a result of this type. Duality theory in linear and convex quadratic programming interprets minimax theory in a different way. The second issue concerns the establishment of sufficient and necessary conditions for values of the variables x and y that achieve the global minimax function value f(x*, y*) = minmaxf(x, y). (3) \"'EX !lEY There are two developments in minimax theory that we would like to mention.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51027543720209,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51027547029777,"sku":"NIN9781461335597","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52340607320337,"sku":"NLS9781461335597","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1461335590.jpg?v=1751306250"},{"product_id":"reformulation-linearization-technique-for-solving-discrete-and-continuous-noncon-book-hanif-d-sherali-9780792354871","title":"A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems","description":"This book deals with the theory and applications of the Reformulation- Linearization\/Convexification Technique (RL T) for solving nonconvex optimization problems. A unified treatment of discrete and continuous nonconvex programming problems is presented using this approach. In essence, the bridge between these two types of nonconvexities is made via a polynomial representation of discrete constraints. For example, the binariness on a 0-1 variable x . can be equivalently J expressed as the polynomial constraint x . (1-x . ) = 0. The motivation for this book is J J the role of tight linear\/convex programming representations or relaxations in solving such discrete and continuous nonconvex programming problems. The principal thrust is to commence with a model that affords a useful representation and structure, and then to further strengthen this representation through automatic reformulation and constraint generation techniques. As mentioned above, the focal point of this book is the development and application of RL T for use as an automatic reformulation procedure, and also, to generate strong valid inequalities. The RLT operates in two phases. In the Reformulation Phase, certain types of additional implied polynomial constraints, that include the aforementioned constraints in the case of binary variables, are appended to the problem. The resulting problem is subsequently linearized, except that certain convex constraints are sometimes retained in XV particular special cases, in the Linearization\/Convexijication Phase. This is done via the definition of suitable new variables to replace each distinct variable-product term. The higher dimensional representation yields a linear (or convex) programming relaxation.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51141444960529,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51141447581969,"sku":"NIN9780792354871","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52425702310161,"sku":"NLS9780792354871","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0792354877.jpg?v=1751297103"},{"product_id":"vector-variational-inequalities-and-vector-equilibria-book-f-giannessi-9780792360261","title":"Vector Variational Inequalities and Vector Equilibria","description":"In the fifties and sixties, several real problems, old and new, especially in Physics, Mechanics, Fluidodynamics, Structural Engi- neering, have shown the need of new mathematical models for study- ing the equilibrium of a system. This has led to the formulation of Variational Inequalities (by G. Stampacchia), and to the develop- ment of Complementarity Systems (by W.S. Dorn, G.B. Dantzig, R.W. Cottle, O.L. Mangasarian et al.) with important applications in the elasto-plastic field (initiated by G. Maier). The great advan- tage of these models is that the equilibrium is not necessarily the extremum of functional, like energy, so that no such functional must be supposed to exist. In the same decades, in some fields like Control Theory, Net- works, Industrial Systems, Logistics, Management Science, there has been a strong request of mathmatical models for optimizing situa- tions where there are concurrent objectives, so that Vector Optimiza- tion (initiated by W. Pareto) has received new impetus. With regard to equilibrium problems, Vector Optimization has the above - mentioned drawback of being obliged to assume the exis- tence of a (vector) functional. Therefore, at the end of the seventies the study of Vector Variational Inequalities began with the scope of exploiting the advantages of both variational and vector models. This volume puts together most of the recent mathematical results in Vector Variational Inequalities with the purpose of contributing to further research.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51141447418129,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51141450465553,"sku":"NIN9780792360261","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52414520262929,"sku":"NLS9780792360261","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0792360265.jpg?v=1751395195"},{"product_id":"introduction-to-global-optimization-book-r-horst-9780792365747","title":"Introduction to Global Optimization","description":"In this edition, the scope and character of the monograph did not change with respect to the first edition. Taking into account the rapid development of the field, we have, however, considerably enlarged its contents. Chapter 4 includes two additional sections 4.4 and 4.6 on theory and algorithms of D.C. Programming. Chapter 7, on Decomposition Algorithms in Nonconvex Optimization, is completely new. Besides this, we added several exercises and corrected errors and misprints in the first edition. We are grateful for valuable suggestions and comments that we received from several colleagues. R. Horst, P.M. Pardalos and N.V. Thoai March 2000 Preface to the First Edition Many recent advances in science, economics and engineering rely on nu­ merical techniques for computing globally optimal solutions to corresponding optimization problems. Global optimization problems are extraordinarily di­ verse and they include economic modeling, fixed charges, finance, networks and transportation, databases and chip design, image processing, nuclear and mechanical design, chemical engineering design and control, molecular biology, and environment al engineering. Due to the existence of multiple local optima that differ from the global solution all these problems cannot be solved by classical nonlinear programming techniques. During the past three decades, however, many new theoretical, algorith­ mic, and computational contributions have helped to solve globally multi­ extreme problems arising from important practical applications.","brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":51141452628241,"sku":"NIN9780792365747","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52589919568145,"sku":"NLS9780792365747","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0792365747.jpg?v=1750913822"},{"product_id":"foundations-of-bilevel-programming-book-stephan-dempe-9781402006319","title":"Foundations of Bilevel Programming","description":"Bilevel programming problems are hierarchical optimization  problems where the constraints of one problem (the so-called upper  level problem) are defined in part by a second parametric optimization  problem (the lower level problem). If the lower level problem has a  unique optimal solution for all parameter values, this problem is  equivalent to a one-level optimization problem having an implicitly  defined objective function. Special emphasize in the book is on  problems having non-unique lower level optimal solutions, the  optimistic (or weak) and the pessimistic (or strong) approaches are  discussed. The book starts with the required results in parametric  nonlinear optimization. This is followed by the main theoretical  results including necessary and sufficient optimality conditions and  solution algorithms for bilevel problems. Stationarity conditions can  be applied to the lower level problem to transform the optimistic  bilevel programming problem into a one-level problem. Properties of  the resulting problem are highlighted and its relation to the bilevel  problem is investigated. Stability properties, numerical complexity,  and problems having additional integrality conditions on the variables  are also discussed.   Audience: Applied mathematicians and economists working in  optimization, operations research, and economic modelling. Students  interested in optimization will also find this book useful.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51142420824337,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51142423052561,"sku":"NIN9781402006319","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52414643044625,"sku":"NLS9781402006319","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1402006314.jpg?v=1751272386"},{"product_id":"reformulation-linearization-technique-for-solving-discrete-and-continuous-noncon-book-hanif-d-sherali-9781441948083","title":"A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems","description":"This book deals with the theory and applications of the Reformulation- Linearization\/Convexification Technique (RL T) for solving nonconvex optimization problems. A unified treatment of discrete and continuous nonconvex programming problems is presented using this approach. In essence, the bridge between these two types of nonconvexities is made via a polynomial representation of discrete constraints. For example, the binariness on a 0-1 variable x . can be equivalently J expressed as the polynomial constraint x . (1-x . ) = 0. The motivation for this book is J J the role of tight linear\/convex programming representations or relaxations in solving such discrete and continuous nonconvex programming problems. The principal thrust is to commence with a model that affords a useful representation and structure, and then to further strengthen this representation through automatic reformulation and constraint generation techniques. As mentioned above, the focal point of this book is the development and application of RL T for use as an automatic reformulation procedure, and also, to generate strong valid inequalities. The RLT operates in two phases. 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If the lower level problem has a  unique optimal solution for all parameter values, this problem is  equivalent to a one-level optimization problem having an implicitly  defined objective function. Special emphasize in the book is on  problems having non-unique lower level optimal solutions, the  optimistic (or weak) and the pessimistic (or strong) approaches are  discussed. The book starts with the required results in parametric  nonlinear optimization. This is followed by the main theoretical  results including necessary and sufficient optimality conditions and  solution algorithms for bilevel problems. Stationarity conditions can  be applied to the lower level problem to transform the optimistic  bilevel programming problem into a one-level problem. Properties of  the resulting problem are highlighted and its relation to the bilevel  problem is investigated. Stability properties, numerical complexity,  and problems having additional integrality conditions on the variables  are also discussed.   Audience: Applied mathematicians and economists working in  optimization, operations research, and economic modelling. 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This has led to the formulation of Variational Inequalities (by G. Stampacchia), and to the develop- ment of Complementarity Systems (by W.S. Dorn, G.B. Dantzig, R.W. Cottle, O.L. Mangasarian et al.) with important applications in the elasto-plastic field (initiated by G. Maier). The great advan- tage of these models is that the equilibrium is not necessarily the extremum of functional, like energy, so that no such functional must be supposed to exist. In the same decades, in some fields like Control Theory, Net- works, Industrial Systems, Logistics, Management Science, there has been a strong request of mathmatical models for optimizing situa- tions where there are concurrent objectives, so that Vector Optimiza- tion (initiated by W. Pareto) has received new impetus. With regard to equilibrium problems, Vector Optimization has the above - mentioned drawback of being obliged to assume the exis- tence of a (vector) functional. Therefore, at the end of the seventies the study of Vector Variational Inequalities began with the scope of exploiting the advantages of both variational and vector models. This volume puts together most of the recent mathematical results in Vector Variational Inequalities with the purpose of contributing to further research.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51142469910801,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51142471713041,"sku":"NIN9781461379850","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52404010287377,"sku":"NLS9781461379850","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1461379857.jpg?v=1751020230"},{"product_id":"topological-methods-in-complementarity-theory-book-g-isac-9780792362746","title":"Topological Methods in Complementarity Theory","description":"Complementarity theory is a new domain in applied mathematics  and is concerned with the study of complementarity problems. These  problems represent a wide class of mathematical models related to  optimization, game theory, economic engineering, mechanics, fluid  mechanics, stochastic optimal control etc. The book is dedicated to  the study of nonlinear complementarity problems by topological  methods.    Audience: Mathematicians, engineers, economists, specialists  working in operations research and anybody interested in applied  mathematics or in mathematical modeling.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52088896684305,"sku":"NLS9780792362746","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780792362746.jpg?v=1756904627"},{"product_id":"nonsmooth-nonconvex-mechanics-book-david-yang-gao-9781461379737","title":"Nonsmooth\/Nonconvex Mechanics","description":"Nonsmoothness and nonconvexity arise in numerous applications of mechan- ics and modeling due to the need for studying more and more complicated phe- nomena and real life applications. Mathematicians have started to provide the necessary tools and theoretical results underpinning these applications. Ap- plied mathematicians and engineers have begun to realize the benefits of this new area and are adopting, increasingly, these new tools in their work. New computational tools facilitate numerical applications and enable the theory to be tested, and the resulting feedback poses new theoretical questions. Because of the upsurge in activity in the area of nonsmooth and noncon- vex mechanics, Professors Gao and Ogden, together with the late Professor P.D. Panagiotopoulos, had planned to organize a Minisymposium with the title Nonsmooth and Nonconvex Mechanics within the ASME 1999 Mechanics \u0026amp; Materials Conference, June 27-30 1999, Blacksburg, Virginia. After the unex- pected death of Professor Panagiotopoulos the first two editors invited the third editor (Professor Stavroulakis) to join them. A large number of mathematical and engineering colleagues supported our efforts by presenting lectures at the Minisymposium in which the available mathematical methods were described and many problems of nonsmooth and nonconvex mechanics were discussed. The interest of the many participants encourages us all to continue our research efforts.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52089105350929,"sku":"NLS9781461379737","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781461379737.jpg?v=1756905771"},{"product_id":"stochastic-adaptive-search-for-global-optimization-book-zb-zabinsky-9781402075261","title":"Stochastic Adaptive Search for Global Optimization","description":"The field of global optimization has been developing at a rapid pace. There is a journal devoted to the topic, as well as many publications and notable books discussing various aspects of global optimization. This book is intended to complement these other publications with a focus on stochastic methods for global optimization. Stochastic methods, such as simulated annealing and genetic algo- rithms, are gaining in popularity among practitioners and engineers be- they are relatively easy to program on a computer and may be cause applied to a broad class of global optimization problems. However, the theoretical performance of these stochastic methods is not well under- stood. In this book, an attempt is made to describe the theoretical prop- erties of several stochastic adaptive search methods. Such a theoretical understanding may allow us to better predict algorithm performance and ultimately design new and improved algorithms. This book consolidates a collection of papers on the analysis and de- velopment of stochastic adaptive search. The first chapter introduces random search algorithms. Chapters 2-5 describe the theoretical anal- ysis of a progression of algorithms. A main result is that the expected number of iterations for pure adaptive search is linear in dimension for a class of Lipschitz global optimization problems. Chapter 6 discusses algorithms, based on the Hit-and-Run sampling method, that have been developed to approximate the ideal performance of pure random search. The final chapter discusses several applications in engineering that use stochastic adaptive search methods.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52089335283985,"sku":"NLS9781402075261","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ GOOD \/ SBYB","offer_id":52836710449425,"sku":"CIN140207526XG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ NEW \/ INGRAM","offer_id":53558397534481,"sku":"NIN9781402075261","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781402075261.jpg?v=1756906797"},{"product_id":"deterministic-global-optimization-book-daniel-scholz-9781461419501","title":"Deterministic Global Optimization","description":"This monograph deals with a general class of solution approaches in deterministic global optimization, namely the geometric branch-and-bound methods which are popular algorithms, for instance, in Lipschitzian optimization, d.c. programming, and interval analysis.It also introduces a new concept for the rate of convergence and analyzes several bounding operations reported in the literature, from the theoretical as well as from the empirical point of view. Furthermore, extensions of the prototype algorithm for multicriteria global optimization problems as well as mixed combinatorial optimization problems are considered. Numerical examples based on facility location problems support the theory. Applications of geometric branch-and-bound methods, namely the circle detection problem in image processing, the integrated scheduling and location makespan problem, and the median line location problem in the three-dimensional space are also presented.    The book is intended for both researchers and students in the areas of mathematics, operations research, engineering, and computer science.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52122084442385,"sku":"NLS9781461419501","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781461419501.jpg?v=1757437497"},{"product_id":"global-optimization-book-jnos-pintr-9780387304083","title":"Global Optimization","description":"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.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52122129891601,"sku":"NLS9780387304083","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780387304083.jpg?v=1757437999"},{"product_id":"nondifferentiable-optimization-and-polynomial-problems-book-nz-shor-9780792349976","title":"Nondifferentiable Optimization and Polynomial Problems","description":"Polynomial extremal problems (PEP) constitute one of the most important subclasses of nonlinear programming models. Their distinctive feature is that an objective function and constraints can be expressed by polynomial functions in one or several variables. 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Each polynomial in n variables can be written as sum of monomials with nonzero coefficients: P(:e) = L caR[a](:e), aEA{P) IX x Nondifferentiable optimization and polynomial problems where A(P) is the set of monomials contained in polynomial P.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52124739862801,"sku":"NLS9780792349976","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52740067098897,"sku":"NIN9780792349976","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780792349976.jpg?v=1757458705"},{"product_id":"convexification-and-global-optimization-in-continuous-and-mixed-integer-nonlinea-book-mohit-tawarmalani-9781441952356","title":"Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming","description":"Interest in constrained optimization originated with the simple linear pro- gramming model since it was practical and perhaps the only computationally tractable model at the time. Constrained linear optimization models were soon adopted in numerous application areas and are perhaps the most widely used mathematical models in operations research and management science at the time of this writing. Modelers have, however, found the assumption of linearity to be overly restrictive in expressing the real-world phenomena and problems in economics, finance, business, communication, engineering design, computational biology, and other areas that frequently demand the use of nonlinear expressions and discrete variables in optimization models. Both of these extensions of the linear programming model are NP-hard, thus representing very challenging problems. On the brighter side, recent advances in algorithmic and computing technology make it possible to re- visit these problems with the hope of solving practically relevant problems in reasonable amounts of computational time. Initial attempts at solving nonlinear programs concentrated on the de- velopment of local optimization methods guaranteeing globality under the assumption of convexity. On the other hand, the integer programming liter- ature has concentrated on the development of methods that ensure global optima. The aim of this book is to marry the advancements in solving nonlinear and integer programming models and to develop new results in the more general framework of mixed-integer nonlinear programs (MINLPs) with the goal of devising practically efficient global optimization algorithms for MINLPs.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52126622056721,"sku":"NLS9781441952356","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781441952356.jpg?v=1757477447"},{"product_id":"bi-level-strategies-in-semi-infinite-programming-book-oliver-stein-9781402075674","title":"Bi-Level Strategies in Semi-Infinite Programming","description":"Semi-infinite optimization is a vivid field of active research. Recently semi- infinite optimization in a general form has attracted a lot of attention, not only because of its surprising structural aspects, but also due to the large number of applications which can be formulated as general semi-infinite programs. The aim of this book is to highlight structural aspects of general semi-infinite programming, to formulate optimality conditions which take this structure into account, and to give a conceptually new solution method. In fact, under certain assumptions general semi-infinite programs can be solved efficiently when their bi-Ievel structure is exploited appropriately. After a brief introduction with some historical background in Chapter 1 we be- gin our presentation by a motivation for the appearance of standard and general semi-infinite optimization problems in applications. Chapter 2 lists a number of problems from engineering and economics which give rise to semi-infinite models, including (reverse) Chebyshev approximation, minimax problems, ro- bust optimization, design centering, defect minimization problems for operator equations, and disjunctive programming.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52127797870865,"sku":"NLS9781402075674","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":53558397632785,"sku":"NIN9781402075674","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781402075674.jpg?v=1757488156"},{"product_id":"quadratic-programming-and-affine-variational-inequalities-book-gue-myung-lee-9780387242774","title":"Quadratic Programming and Affine Variational Inequalities","description":"Quadratic programs and affine variational inequalities represent two fundamental, closely-related classes of problems in the t,heories of mathematical programming and variational inequalities, resp- tively.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52131121791249,"sku":"NLS9780387242774","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780387242774.jpg?v=1757507672"},{"product_id":"introduction-to-global-optimization-book-r-horst-9780792367567","title":"Introduction to Global Optimization","description":"In this edition, the scope and character of the monograph did not change with respect to the first edition. Taking into account the rapid development of the field, we have, however, considerably enlarged its contents. Chapter 4 includes two additional sections 4.4 and 4.6 on theory and algorithms of D.C. Programming. Chapter 7, on Decomposition Algorithms in Nonconvex Optimization, is completely new. Besides this, we added several exercises and corrected errors and misprints in the first edition. We are grateful for valuable suggestions and comments that we received from several colleagues. R. Horst, P.M. Pardalos and N.V. Thoai March 2000 Preface to the First Edition Many recent advances in science, economics and engineering rely on nu- merical techniques for computing globally optimal solutions to corresponding optimization problems. Global optimization problems are extraordinarily di- verse and they include economic modeling, fixed charges, finance, networks and transportation, databases and chip design, image processing, nuclear and mechanical design, chemical engineering design and control, molecular biology, and environment al engineering. Due to the existence of multiple local optima that differ from the global solution all these problems cannot be solved by classical nonlinear programming techniques. During the past three decades, however, many new theoretical, algorith- mic, and computational contributions have helped to solve globally multi- extreme problems arising from important practical applications.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52135606780177,"sku":"NLS9780792367567","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780792367567.jpg?v=1757549947"},{"product_id":"equilibrium-problems-and-variational-models-book-p-daniele-9781402074707","title":"Equilibrium Problems and Variational Models","description":"The volume, devoted to variational analysis and its applications, collects selected and refereed contributions, which provide an outline of the field. The meeting of the title Equilibrium Problems and Variational Models, which was held in Erice (Sicily) in the period June 23 - July 2 2000, was the occasion of the presentation of some of these papers; other results are a consequence of a fruitful and constructive atmosphere created during the meeting. New results, which enlarge the field of application of variational analysis, are presented in the book; they deal with the vectorial analysis, time dependent variational analysis, exact penalization, high order deriva- tives, geometric aspects, distance functions and log-quadratic proximal methodology. The new theoretical results allow one to improve in a remarkable way the study of significant problems arising from the applied sciences, as continuum model of transportation, unilateral problems, multicriteria spatial price models, network equilibrium problems and many others. As noted in the previous book Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models, edited by F. Giannessi, A. Maugeri and P.M. Pardalos, Kluwer Academic Publishers, Vol. 58 (2001), the progress obtained by variational analysis has permitted to han- dle problems whose equilibrium conditions are not obtained by the mini- mization of a functional. These problems obey a more realistic equilibrium condition expressed by a generalized orthogonality (complementarity) con- dition, which enriches our knowledge of the equilibrium behaviour. 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These  problems represent a wide class of mathematical models related to  optimization, game theory, economic engineering, mechanics, fluid  mechanics, stochastic optimal control etc. The book is dedicated to  the study of nonlinear complementarity problems by topological  methods.    Audience: Mathematicians, engineers, economists, specialists  working in operations research and anybody interested in applied  mathematics or in mathematical modeling.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52142437269777,"sku":"NLS9781441948281","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781441948281.jpg?v=1757580154"},{"product_id":"large-scale-nonlinear-optimization-book-gianni-pillo-9781441940148","title":"Large-Scale Nonlinear Optimization","description":"This book reviews and discusses recent advances in the development of methods and algorithms for nonlinear optimization and its applications, focusing on the large-dimensional case, the current forefront of much research.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52145734353169,"sku":"NLS9781441940148","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781441940148.jpg?v=1757594913"},{"product_id":"topics-in-nonconvex-optimization-book-shashi-k-mishra-9781461428893","title":"Topics in Nonconvex Optimization","description":"This contributed volume consists of papers in the area of nonconvex optimization from researchers practicing in India. 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Invexity in multiobjective programming problems and Kuhn-Tucker optimality conditions are given for a multiobjecive programming problem, Wolfe and Mond-Weir type dual models are given for a multiobjective programming problem and usual duality results are presented in presence of invex functions. Continuous-time multiobjective problems are also discussed. Quadratic and fractional programming problems are given for invex functions. 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The authors discuss the use of complementarity theory in the study of equilibrium of economic systems and present results they have obtained. In addition the authors present several new results in complementarity theory and several numerical methods for solving complementarity problems associated with the study of economic equilibrium. The most important notions of Pareto efficiency are also presented.  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Moreover, this borderline is frequently modified in light of what is found from the study itself. 2) In many real-world problems, the decision maker D does not really exist as a person truly able to make adecision. Usually, several people (actors or stakeholders) take part in the decision process, and it is important not to confuse the one who ratifies adecision with the so-called decision maker in the decision ai ding process. 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For such environments, we suggest the use of the robustness ap proach to decision making, which assumes inadequate knowledge of the decision maker about the random state of nature and develops a decision that hedges against the worst contingency that may arise. The main motivating factors for a decision maker to use the robustness approach are: It does not ignore uncertainty and takes a proactive step in response to the fact that forecasted values of uncertain parameters will not occur in most environments; It applies to decisions of unique, non-repetitive nature, which are common in many fast and dynamically changing environments; It accounts for the risk averse nature of decision makers; and It recognizes that even though decision environments are fraught with data uncertainties, decisions are evaluated ex post with the realized data. For all of the above reasons, robust decisions are dear to the heart of opera tional decision makers. This book takes a giant first step in presenting decision support tools and solution methods for generating robust decisions in a variety of interesting application environments. Robust Discrete Optimization is a comprehensive mathematical programming framework for robust decision making.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52148836172049,"sku":"NLS9780792342915","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780792342915.jpg?v=1757604811"},{"product_id":"introduction-to-the-theory-of-games-book-ferenc-szidarovszky-9780792357759","title":"Introduction to the Theory of Games","description":"Approach your problems from the right It isn't that they can't see the solution. end and begin with the answers. Then It is that they can't see the problem. one day, perhaps you will find the final question. G. K. Chesterton. The Scandal of Father Brown 'The Point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the tree of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Min- kowsky lemma, coding theory and the structure of water meet one another in packing and covering theory: quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52149012365585,"sku":"NLS9780792357759","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52740074602769,"sku":"NIN9780792357759","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780792357759.jpg?v=1757605416"},{"product_id":"multivalued-analysis-and-nonlinear-programming-problems-with-perturbations-book-b-luderer-9781402010590","title":"Multivalued Analysis and Nonlinear Programming Problems with Perturbations","description":"This book is concerned with topological and differential properties of multivalued mappings and marginal functions. Beside this applica- tions to the sensitivity analysis of optimization problems, in particular nonlinear programming problems with perturbations, are studied. The elaborated methods are primarily obtained by theories and concepts of two former Soviet Union researchers, Demyanov and Rubinov. Con- sequently, a significant part of the presented results have never been published in English before. Based on the use of directional derivatives as a key tool in studying nonsmooth functions and multifunctions, these results can be considered as a further development of quasidifferential calculus created by Demyanov and Rubinov. In contrast to other research in this field, especially the recent publica- tion by Bonnans and Shapiro, this book analyses properties of marginal functions associated with optimization problems under quite general con- straints defined by means of multivalued mappings. 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In many decision processes there is a hierarchy of decision makers, and decisions are made at different levels in this hierarchy. One way to handle such hierar- chies is to focus on one level and include other levels' behaviors as assumptions. Multilevel programming is the research area that focuses on the whole hierar- chy structure. In terms of modeling, the constraint domain associated with a multilevel programming problem is implicitly determined by a series of opti- mization problems which must be solved in a predetermined sequence. 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The five  sections of the book cover: methodology; problem structuring; utility  assessment; multi-objective optimisation; real world applications.     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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. 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Stampacchia\" International School of Mathematics of the \"E. Majorana\" Centre for Scientific Cul­ ture in Erice (Italy) . The main theme of the workshop was minimax theory in its most classical meaning. That is to say, given a real-valued function f on a product space X x Y , one tries to find conditions that ensure the validity of the equality sup inf f(x,y) = inf sup f(x, y). yEY xEX xEX yEY This is not an appropriate place to enter into the technical details of the proofs of minimax theorems, or into the history of the contribu­ tions to the solution of this basic problem in the last 7 decades. But we do want to stress its intrinsic interest and point out that, in spite of its extremely simple formulation, it conceals a great wealth of ideas. This is clearly shown by the large variety of methods and tools that have been used to study it. The applications of minimax theory are also extremely interesting. 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The author uses the topological approach and topological invariants of corresponding feasible sets are investigated. Moreover, the critical point theory in the sense of Morse is presented and parametric and stability issues are considered. The material progresses systematically and establishes a comprehensive theory for a rather broad class of optimization problems tailored to their particular type of nonsmoothness.      Topological Aspects of Nonsmooth Optimization will benefit researchers and graduate students in applied mathematics, especially those working in optimization theory, nonsmooth analysis, algebraic topology and singularity theory. ​  ​","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52337216815377,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52337217306897,"sku":"NLS9781461418962","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781461418962.jpg?v=1758165930"},{"product_id":"global-optimization-in-action-book-jnos-pintr-9780792337577","title":"Global Optimization in Action","description":"In science, engineering and economics, decision problems are  frequently modelled by optimizing the value of a (primary) objective  function under stated feasibility constraints. 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The present monograph is constructed on the results obtained by the authors through their direct cooperation or due to the authors separately or in cooperation with other mathematicians. All these results fit in a unitary scheme giving the structure of this work. The book is mainly addressed to researchers and scholars in Pure and Applied Mathematics, Mechanics, Physics and Engineering. We are greatly indebted to Viorica Venera Motreanu for the careful reading of the manuscript and helpful comments on important issues. We are also grateful to our Editors of Kluwer Academic Publishers for their professional assistance. Our deepest thanks go to our numerous scientific collaborators and friends, whose work was so important for us. D. Motreanu and V. Radulescu IX Introduction The present monograph is based on original results obtained by the authors in the last decade. 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