Free Delivery Over $100
|
|
|||
|
||||
OverviewAlong with the traditional material concerning linear programming (the simplex method, the theory of duality, the dual simplex method), this text contains results of research carried out by the authors. The criteria of stability (in the geometrical and algebraic forms) of the general linear programming problem are formulated and proved. New regularization methods based on the idea of extension of an admissible set are proposed for solving unstable (ill-posed) linear programming problems. In contrast to the well-known regularization methods, in the methods proposed in this book the initial unstable problem is replaced by a new stable auxiliary problem. This is also a linear programming problem, which can be solved by standard finite methods. In addition, the authors indicate the conditions imposed on the parameters of the auxiliary problem which guarantee its stability, and this circumstance advantageously distinguishes the regularization methods proposed in this book from the existing methods. In these existing methods, the stability of the auxiliary problem is usually only presupposed but is not explicitly investigated. In this book, the traditional material contained in the first three chapters is expounded in much simpler terms than in the majority of books on linear programming, which makes it accessible to beginners as well as those more familiar with the area. Full Product DetailsAuthor: F.P. Vasilyev , A.Y. IvanitskiyPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 2001 ed. Dimensions: Width: 15.50cm , Height: 1.90cm , Length: 23.50cm Weight: 1.400kg ISBN: 9781402000850ISBN 10: 1402000855 Pages: 312 Publication Date: 31 October 2001 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents1. Simplex Method.- 2. The Main Theorems of Linear Programming.- 3. Dual Simplex Method.- 4. Criterion of Stability.- 5. Regularization Methods.- 6. Polynomial Methods in Linear Programming.- Notation.- References.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
||||
