In-Depth Analysis of Linear Programming

Name: In-Depth Analysis of Linear Programming
Brand: Springer Netherlands
SKU: 9789048158515
Price: 99.88 EUR
Availability: InStock

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

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer Netherlands

Dostupnosť: Skladom u dodávateľa

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99.88 €

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

Informácie o knihe

Autor

F.P. Vasilyev, A.Y. Ivanitskiy

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2010

Stránok

312

EAN

9789048158515

ISBN

9048158516

Enbook ID

01974357

Vydavateľ

Springer Netherlands

Hmotnosť

504

Rozmery

160 x 240 x 17

Kompletný popis

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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In-Depth Analysis of Linear Programming

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