عنوان

In-Depth Analysis of Linear Programming

شابک

9048158516

شابک

9401597596

شابک

9789048158515

شابک

9789401597593

شماره

b592013

عنوان اصلي

In-Depth Analysis of Linear Programming

نام عام مواد

[Book]

نام نخستين پديدآور

by F. P. Vasilyev, A. Yu. Ivanitskiy.

محل نشرو پخش و غیره

Dordrecht

نام ناشر، پخش کننده و غيره

Springer Netherlands : Imprint: Springer

تاریخ نشرو بخش و غیره

2001

نام خاص و کميت اثر

(XIV, 312 p. :)

متن يادداشت

Bibliographic Level Mode of Issuance: Monograph.

متن يادداشت

1. 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.

متن يادداشت

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.

موضوع مستند نشده

Computer science -- Mathematics.

موضوع مستند نشده

Computers.

موضوع مستند نشده

Mathematics.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

by F. P. Vasilyev, A. Yu. Ivanitskiy.

مستند نام اشخاص تاييد نشده

A Yu Ivanitskiy

مستند نام اشخاص تاييد نشده

F P Vasilyev

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y