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Author : Harold William Kuhn,Albert William Tucker
Publisher : Princeton University Press
Page : 346 pages
File Size : 45,6 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400881987
The description for this book, Linear Inequalities and Related Systems. (AM-38), Volume 38, will be forthcoming.
Author : George Bernard Dantzig
Publisher : Princeton University Press
Page : 352 pages
File Size : 54,5 Mb
Release : 1956-10-21
Category : Mathematics
ISBN : 9780691079998
A classic treatment of linear inequalities from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
Author : Harold William Kuhn,Albert William Tucker
Publisher : Unknown
Page : 322 pages
File Size : 51,6 Mb
Release : 1958
Category : Game theory
ISBN : OCLC:622751825
Author : Donald Keene,George Bernard Dantzig,R. J. Duffin,K. Fan
Publisher : Unknown
Page : 0 pages
File Size : 44,7 Mb
Release : 1956
Category : Mathematics
ISBN : 0608064378
Author : A. S. Solodovnikov
Publisher : University of Chicago Press
Page : 96 pages
File Size : 42,7 Mb
Release : 1980-02
Category : Mathematics
ISBN : 0226767868
This volume describes the relationship between systems of linear inequalities and the geometry of convex polygons, examines solution sets for systems of linear inequalities in two and three unknowns (extension of the processes introduced to systems in any number of unknowns is quite simple), and examines questions of the consistency or inconsistency of such systems. Finally, it discusses the field of linear programming, one of the principal applications of the theory of systems of linear inequalities. A proof of the duality theorem of linear programming is presented in the last section.
Author : George Bernard Dantzig
Publisher : Unknown
Page : 322 pages
File Size : 49,6 Mb
Release : 1956
Category : Game theory
ISBN : OCLC:42518795
Author : Alexander Schrijver
Publisher : John Wiley & Sons
Page : 488 pages
File Size : 40,8 Mb
Release : 1998-06-11
Category : Mathematics
ISBN : 0471982326
Als Ergänzung zu den mehr praxisorientierten Büchern, die auf dem Gebiet der linearen und Integerprogrammierung bereits erschienen sind, beschreibt dieses Werk die zugrunde liegende Theorie und gibt einen Überblick über wichtige Algorithmen. Der Autor diskutiert auch Anwendungen auf die kombinatorische Optimierung; neben einer ausführlichen Bibliographie finden sich umfangreiche historische Anmerkungen.
Author : Keiko Nakayama
Publisher : Springer Nature
Page : 201 pages
File Size : 55,9 Mb
Release : 2024-06-16
Category : Electronic
ISBN : 9789819929436
Author : Ellis L. Johnson
Publisher : SIAM
Page : 72 pages
File Size : 54,7 Mb
Release : 1980-01-01
Category : Mathematics
ISBN : 9780898711622
This monograph considers pure integer programming problems which concern packing, partitioning or covering. For this class of problems, an algorithmic framework using a duality approach is offered. Furthermore, the author proposes for the first time a general framework for both packing and covering problems characterizing the convex whole of integer solutions.
Author : Anonim
Publisher : Unknown
Page : 712 pages
File Size : 47,7 Mb
Release : 1965
Category : Engineering
ISBN : CUB:U183019848651
Author : Melvyn Jeter
Publisher : CRC Press
Page : 364 pages
File Size : 55,7 Mb
Release : 1986-05-01
Category : Business & Economics
ISBN : 0824774787
This book serves as an introductory text in mathematical programming and optimization for students having a mathematical background that includes one semester of linear algebra and a complete calculus sequence. It includes computational examples to aid students develop computational skills.
Author : Joachim R. Daduna,Anthony Wren
Publisher : Springer Science & Business Media
Page : 349 pages
File Size : 49,7 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783642859663
This volume consists of papers presented at the Fourth International Workshop on Computer-Aided Scheduling of Public Transport, which was held in Hamburg from 28th to 31st July 1987. The first of this series of Workshops was held in Chicago in 1975. Papers presented then tended to look forward to what might be done in the future application of computers to problems in transit scheduling. No presentations described systems which had been implemented and were being used on a regular basis, although a few papers discussed apparently successful once-off applications in both bus scheduling and bus crew scheduling (or run-cutting). However, within a few months of the end of that first workshop some systems had been implemented, both in Europe and in North America. By the time of the second Workshop, in Leeds in 1980, several systems were in regular use. Most of the crew scheduling implementations were based on heuristic methods (e.g., RUCUS), although mathematically based methods were being used in Quebec City and in Hamburg, and several papers described further mathematical methods in the course of development. A wide variety of bus scheduling approaches was reported, many of them being in regular use.
Author : Roman A. Polyak
Publisher : Springer Nature
Page : 552 pages
File Size : 46,7 Mb
Release : 2021-04-29
Category : Mathematics
ISBN : 9783030687137
This self-contained monograph presents the reader with an authoritative view of Continuous Optimization, an area of mathematical optimization that has experienced major developments during the past 40 years. The book contains results which have not yet been covered in a systematic way as well as a summary of results on NR theory and methods developed over the last several decades. The readership is aimed to graduate students in applied mathematics, computer science, economics, as well as researchers working in optimization and those applying optimization methods for solving real life problems. Sufficient exercises throughout provide graduate students and instructors with practical utility in a two-semester course in Continuous Optimization. The topical coverage includes interior point methods, self-concordance theory and related complexity issues, first and second order methods with accelerated convergence, nonlinear rescaling (NR) theory and exterior point methods, just to mention a few. The book contains a unified approach to both interior and exterior point methods with emphasis of the crucial duality role. One of the main achievements of the book shows what makes the exterior point methods numerically attractive and why. The book is composed in five parts. The first part contains the basics of calculus, convex analysis, elements of unconstrained optimization, as well as classical results of linear and convex optimization. The second part contains the basics of self-concordance theory and interior point methods, including complexity results for LP, QP, and QP with quadratic constraint, semidefinite and conic programming. In the third part, the NR and Lagrangian transformation theories are considered and exterior point methods are described. Three important problems in finding equilibrium are considered in the fourth part. In the fifth and final part of the book, several important applications arising in economics, structural optimization, medicine, statistical learning theory, and more, are detailed. Numerical results, obtained by solving a number of real life and test problems, are also provided.
Author : Albert G. Holzman
Publisher : CRC Press
Page : 393 pages
File Size : 44,8 Mb
Release : 2020-11-26
Category : Computers
ISBN : 9781000146127
This book covers the fundamentals of linear programming, extension of linear programming to discrete optimization methods, multi-objective functions, quadratic programming, geometric programming, and classical calculus methods for solving nonlinear programming problems.
Author : Miguel Ángel Goberna,Marco A. López
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 47,7 Mb
Release : 2013-11-11
Category : Computers
ISBN : 9781475734034
Semi-infinite programming (SIP) deals with optimization problems in which either the number of decision variables or the number of constraints is finite. This book presents the state of the art in SIP in a suggestive way, bringing the powerful SIP tools close to the potential users in different scientific and technological fields. The volume is divided into four parts. Part I reviews the first decade of SIP (1962-1972). Part II analyses convex and generalised SIP, conic linear programming, and disjunctive programming. New numerical methods for linear, convex, and continuously differentiable SIP problems are proposed in Part III. Finally, Part IV provides an overview of the applications of SIP to probability, statistics, experimental design, robotics, optimization under uncertainty, production games, and separation problems. Audience: This book is an indispensable reference and source for advanced students and researchers in applied mathematics and engineering.
