Einführung in die lineare optimierung

26R

J.

Book

PIEHLER,

Einfiihrung

Leipzig,

1962.

in die

reviews

Lineare

Optimierung,

B.G. Teubner Verlag,

This book gives a brief explanation of the basic concepts and methods of linear programming - one of the new spheres of modern mathematics. The author was moved to write this book by the absence of such literature in German. The book is primarily intended for mathematicians, practical workers have also been taken into account.

but the demands of

In the account of the material a number of theoretical subtleties are omitted. A point worth noticing is that the author has succeeded in explaining the material without reference to other literature. The methods are explained in such a way that the book can serve as a practical manual in the solution of problems. The reader is required to have a preliminary knowledge of the basic concepts of vector and matrix algebra and certain facts of multidimensional Euclidean geometry which belong to a first-year course in the mathematics faculty. The material

is dealt

with as follows.

The preface and Chapter 1 are of an introductory nature. They give some examples of problems of linear programming and its basic concepts.

of

Chapter 2 gives the simplex method as a basic linear programming problems.

Chapter 3 is devoted to the modified simplex this in which the inverse matrix is represented receiving brief mention. Chapter 4 gives simplex method. Chapter

the theory

5 describes

Chapter 6 brieflv ment problem. Chapter ‘7 discusses

of

duality

method for

the solution

method, the variant of in multiplicative form

and a description

of

the dual

the method of pivots. explains

integer

the transportation

problem and the assign-

programming.

U. lib.

Xlalkov