Research Catalog

Title

Optimization : theory and practice / Gordon S.G. Beveridge and Robert S. Schechter.

Author

Beveridge, Gordon S. G.

Publication

New York : McGraw-Hill, 1970.

Items in the Library & Off-site

Details

Additional Authors

Schechter, Robert S. (Robert Samuel)

Description

xix, 773 pages : illustrations; 23 cm

Summary

"In general, this presentation demonstrates the interrelationships between the various facets of optimization. These aspects range from the differential calculus through direct search and mathematical programming techniques to the more specialized game theory and decision theory required when competition is present. The integrated approach is seen, for instance, in the discussion of multidimensional numerical search techniques . Each search may be characterized by the two essential features of a distance and direction of movement. These, together with a further classification based on whether or not the gradient is required, have provided the framework within which search methods are presented. In this context the similarities and differences, the advantages and disadvantages, and the range of applicabilities and failures of all search techniques can be clearly understood. Thus such well-known search methods as Rosen's gradient projection and Zoutendijk's feasible directions are seen to stem from the same basic concept, namely, local linearization. A second example of the interrelationship of methods is the evolution from the Lagrangian formulation of such diverse techniques as the so-called discrete maximum principle, the maximum principle of Pontryagin, duals in linear problems, the Kuhn-Tucker conditions, steepest ascent, the gradient projection, and other important techniques."--Preface.

Series Statement

McGraw-Hill chemical engineering series

Uniform Title

McGraw-Hill chemical engineering series.

Subject

• Mathematical optimization
• Optimierung
• Chemische technologie
• Optimaliseren
• Wiskundige modellen
• Lineaire programmering

Genre/Form

Festschriften.

Note

• Includes indexes.

Bibliography (note)

• Bibliography: p. 735-756.

Contents

pt. I. The organization for optimization. 1. An introduction to optimization -- 2. Organization of optimization problems -- 3. System models -- pt. II. Optimization techniques. 4. Functions, regions, and optimization -- 5. Functions of a single variable--analytical methods -- 6. Functions of a single variable--numerical methods -- 7. Multivariable search--analytical methods -- 8. Multivariable functions--numerical methods -- 9. Functions of a continuous variable--analytical methods -- 10. Functions of a continuous variable--numerical methods -- pt. III. Optimization in practice. 11. A critique of techniques and their application -- 12. Systems with partial knowledge of some variables -- 13. The approach to optimization of complex systems -- Epilogue -- Appendix 1: Some notes on determinants -- Appendix 2: Optimization of nonlinear objective functions subject to equality and inequality constraints--a comparison.

ISBN

• 0070051283
• 9780070051287

LCCN

69013596

OCLC

• ocm00060572
• 60572
• SCSB-9197795

Owning Institutions

Princeton University Library