In-Depth Analysis of Linear Programming

Name: In-Depth Analysis of Linear Programming
Brand: Springer Netherlands
SKU: 9789048158515
Price: 551.94 RON
Availability: InStock

Autor: F.P. Vasilyev, A.Y. Ivanitskiy

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Editura: Springer Netherlands

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Along with the traditional material concerning linear programming (the simplex method, the theory of...

Informații despre carte

Autor

F.P. Vasilyev, A.Y. Ivanitskiy

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2010

Pagini

312

EAN

9789048158515

ISBN

9048158516

Enbook ID

01974357

Editura

Springer Netherlands

Greutate

504

Dimensiuni

160 x 240 x 17

Descriere completă

Along with the traditional material concerning linear programming (the simplex method, the theory of duality, the dual simplex method), In-Depth Analysis of Linear Programming contains new results of research carried out by the authors. For the first time, 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.

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