Cover image for Introduction to optimization
Title:
Introduction to optimization
Author:
Beale, E. M. L. (Evelyn Martin Lansdowne) (Evelyn Martin Landsdowne)
Publication Information:
Chichester [England] ; New York : Wiley, [1988]

©1988
Physical Description:
ix, 121 pages : illustrations ; 25 cm.
General Note:
"A Wiley-Interscience publication."

Includes index.
Language:
English
Added Author:
ISBN:
9780471917601

9780471917618
Format :
Book

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QA402.5 .B42 1988 Adult Non-Fiction Central Closed Stacks
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Summary

Summary

An accessible introduction to the many aspects of optimization, written by an eminent figure in the field. Covers both unconstrained and constrained optimization, the latter being divided into a section on linear programming, and one on non-linear and discrete methods. Treatment is self-contained, requiring no detailed mathematical knowledge. Concentrates on practical use of techniques, rather than on mathematical proofs (although many mathematical details are included) and illustrates many applications to industry. Provides numerous examples, explaining how each method works and where to apply it.


Summary

Intended as an introduction to the many topics covered by the term optimization, this text places special emphasis on applications in industry. The first part of the book covers unconstrained optimization, describing the main techniques for solving problems both for functions of only one variable, and for multi-variable functions, with emphasis placed on the practical problems of why and how methods succeed or fail, rather than on rigorous proofs. The second part describes the methods used to solve linear programming problems, giving applications in industry and outlining the simplex and dual simplex methods. The third part covers nonlinear programming, integer programming and dynamic programming, showing how the techniques of linear programming can be extended to deal with nonlinearity and discrete entities. Intended for senior undergraduate and graduate students studying optimization, it assumes no detailed mathematical knowledge.


Reviews 1

Choice Review

In the preface that explains the Sussmayrian process, the means by which this book was put together, it is nowhere specifically stated that the late Beale was engaged in writing a book at the time of his death. The volume is based on a set of notes for an undergraduate course that Beale taught supplemented by other selections from his work, both published and unpublished; the editor, Mackley, has succeeded in retaining a diffident, rather charming conversational tone. Beale's contributions to the field are important, and he will be remembered for them, but the question remains: should this book have been published at all? This reviewer cannot understand the omission of any mention of at least the possible significance of N. Karmarkar's work in a volume published after November 1984 and pertaining (inter alia) to linear programming. Its organization is the usual one. The book would be suitable as a midlevel text if exercises were added; there is an adequate bibliography. However, the engineer, scientist, economist, or manager seeking a general introduction to the subject of optimization will find a much more complete one in P.E. Gill, W. Murray, and M.H. Wright's Practical Optimization (1981). -R. J. Wernick, San Francisco State University