Bøger i Applied Optimization serien

Parallel and distributed computation has been gaining a great lot of attention in the last decades. Parallel and distributed computation differs from dassical sequential compu tation in some of the following major aspects: the number of processing units, independent local dock for each unit, the number of memory units, and the programming model.

Covers the implications of interior techniques for the field of mathematical programming. This book provides theoretical as well as computational results, explains the intuition behind the main ideas, gives examples as well as proofs, and contains a bibliography.

At the same time, we try to present a quick overview of the impact of extensions of IPMs on smooth nonlinear optimization and to demonstrate the potential of IPMs for solving difficult practical problems.

Contains fourteen chapters on developments in theory, computation, and practice in a wide variety of areas in transportation research such as the reliability of transportation networks, parking management policies, fuzzy traffic signal control, and the workings of a demand-responsive park and ride transport system.

A basic problem for the interconnection of communications media is to design interconnection networks for specific needs. Chapter 3 addresses Bruijn digraphs, Kautz digraphs, and their generalizations, which are candidates for networks of minimum diameter and maximum connectivity with given degree and number of nodes.

Starts with the basic concepts of Fuzzy Logic: the membership function, the intersection and the union of fuzzy sets, fuzzy numbers, and the extension principle underlying the algorithmic operations. This book includes chapters devoted to applications of Fuzzy Logic in Operations Research.

In this respect, the course built further on the achievements of the "Nordic Network in Mathematical Programming" , which has been running during the last three years with the support ofthe Nordic Council for Advanced Studies (NorFA).

The first elementary exposition of core ideas of complexity theory for convex optimization, this book explores optimal methods and lower complexity bounds for smooth and non-smooth convex optimization. Also covers polynomial-time interior-point methods.

Because of the rapidly developing and interdisciplinary nature of the subject, there are only a few edited volumes consisting of research papers on intelligent control systems but little is known and published about the fundamentals and the general know-how in designing, implementing and operating intelligent control systems.

Presents the fundamentals of the Parameter Space Investigation method for the statement and solution of optimization problems, a tool for multicriteria optimization in engineering. This title is intended for research workers and graduate students who work in the field of aerospace engineering, mechanics, electrical and electronic engineering.

A wide range of applications is included: manpower planning * production planning * job sequencing and scheduling * manufacturing layout design * facility planning * vehicle scheduling and routing * retail seasonal planning * I!

Contains the edited texts of the lectures presented at the Workshop on Nonlinear Optimization held in 1998. The main purpose was to review and discuss various advances and research trends concerning theory, algorithms and innovative applications in the field of nonlinear optimization, and of related topics such as convex optimization.

Since the book addresses the theory and design of computer-based scheduling algorithms, applied mathematicians and computer software specialists engaged in developing scheduling software for industrial engineering and management problems will find that the methods developed here can be embedded very efficiently in large applications.

THE PROCESS OF HUMAN JUDGMENT Human judgment is a process through which an individual uses social infonnation to make decisions. The social infonnation is obtained from an individual's environment and is interpreted through the individual's cognitive image of the environment.

Decomposition methods aim to reduce large-scale problems to simpler problems. For fixed weights, successively simpler aggregated problems are solved and the convergence of their solution to that of the original problem is analyzed. Block problems in which the coupling variables do not enter the binding constraints are studied.

Though the volume covers 22 papers by 36 authors from 12 countries, the history in the background is bound to Hungary where, in 1973 Andras Pnkopa started to lay the foundation of a scientific forum, which can be a regular meeting spot for experts of the world in the field.

At present, concerning intensive development of computer hardware and software, computer-based methods for modeling of difficult problems have become the main technique for theoretical and applied investigations.

This book provides a new point of view on the field of financial engineering, through the application of multicriteria intelligent decision aiding systems.

Transportation problems belong to the domains mathematical program ming and operations research. Numerous concrete problems (for example, assignment and distribution problems, maximum-flow problem, etc. In this problem, supply and demand points are given, and it is required to minimize the transportation cost.

Multicriteria analysis is a rapidly growing aspect of operations research and management science, with numerous practical applications in a wide range of fields. This book presents all the recent advances in multicriteria analysis, including multicriteria optimization, goal programming, outranking methods, and disaggregation techniques.

Since the volume may be of interest to a broad variety of people, it is arranged in parts that require different levels of mathematical background. Part III is written for readers in applied mathematics interested in the theoretical basis of modern optimization.

Formal Design Theory (PDT) is a mathematical theory of design. FDT explores issues such as: algebraic representation of design artifacts, idealized design process cycle, and computational analysis and measurement of design process complexity and quality.

This book contains selected papers from the presentations given at the 7th EURO-Working Group Meeting on 'Iransportation, which took place at the Helsinki University of Technology (HUT), Finland, during August 2-4, 1999.

These interests span the areas of Traffic Assignment, Network Equilibrium, Shortest Paths, Railroad problems, De mand models, Variational Inequalities, Intelligent Transportation Systems, etc.

Since I started working in the area of nonlinear programming and, later on, variational inequality problems, I have frequently been surprised to find that many algorithms, however scattered in numerous journals, monographs and books, and described rather differently, are closely related to each other.

In February 2002, the Industrial and Systems Engineering (ISE) De partment at the University of Florida hosted a National Science Founda tion Workshop on Collaboration and Negotiation in Supply Chain Man agement and E Commerce.

Industrial Mathematics is a relatively recent discipline. Hence, to be a good "industrial mathematician" you need to know a good deal of mathematics as well as ideas already common in engineering and modern mathematics with tremen dous potential for application.

This book presents a unified optimal control approach to a large class of problems arising in the field of production planning and scheduling. This book also introduces the reader to analytical and numerical methods of the maximum principle, used here as a mathematical instrument in modeling and solving production planning and scheduling problems.

Computing has become essential for the modeling, analysis, and optimization of systems. This book is devoted to algorithms, computational analysis, and decision models. The chapters are organized in two parts: optimization models of decisions and models of pricing and equilibria.