Extremal Methods and Systems Analysis

1. Front Matter

   Pages I-XI

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2. Historical Perspectives

   1. Front Matter

      Pages 1-1

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   2. A Biography of Professor A. Charnes and His Scientific Work

      • K. O. Kortanek

      Pages 2-9

   3. Abraham Charnes — A Strategy for Research and a Record of Results

      • Anthony V. Fiacco, Kenneth O. Kortanek

      Pages 10-24

3. Economic Modeling and Equilibrium

   1. Front Matter

      Pages 51-51

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   2. Multi-Page Format Economic Systems

      • Sten Thore

      Pages 52-67

   3. The Need for Dynamic Extensions of General-Equilibrium Methods

      • William P. Drews

      Pages 68-84

   4. A Few Words on Application of Optimization Methods to Economic Problems

      • L. V. Kantorovich, J. V. Romanovsky

      Pages 85-95

4. Planning and Decision Models

   1. Front Matter

      Pages 97-97

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   2. Designing Investment Strategies for Fixed-Income Portfolios

      • Morton Lane, Jerome Kreuser

      Pages 98-134

   3. Multiple Criteria Decision Making for Discrete Alternatives with Ordinal Criteria

      • Stanley Zionts

      Pages 135-152

5. Generalized Inverses and Matrices

   1. Front Matter

      Pages 153-153

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   2. Generalized Inverses of Matrices and Their Applications

      • Adi Ben-Israel

      Pages 154-186

   3. Cost-Flow Networks and Generalized Inverses

      • Yuji Ijiri

      Pages 187-196

   4. The Weighted Generalized Inverse in Nonlinear Programming — Active Set Selection Using a Variable-Metric Generalization of the Simplex Algorithm

      • L. Duane Pyle

      Pages 197-230

   5. Convergence Properties of Powers of Matrices with Applications to Iterative Methods for Solving Linear Systems

      • Uriel G. Rothblum

      Pages 231-247

6. Transportation and Networks

   1. Front Matter

      Pages 249-249

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   2. A Network Augmenting Path Basis Algorithm for Transshipment Problems

      • Richard Barr, Joyce Elam, Fred Glover, Darwin Klingman

      Pages 250-274

   3. More on the More for Less Paradox in the Distribution Model

      • Michael J. Ryan

      Pages 275-303

7. Game Theory

   1. Front Matter

      Pages 305-305

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The papers appearing in this Volume were selected from a collec­ tion of papers presented at the Internationa~ Symposium on Extrema~ Methods and Systems Ana~ysis on the Occasion of Professor A. Charnes' 60th Birthday, at the University of Texas in Austin, 13-15 September 1977. As coeditors, we have followed the normal editorial procedures of scholarly journals. We have obtained invaluable assistance from a number of colleagues who essentially performed the duties of associate editors, coordinating most of the reviews. All papers except those appearing in the Historica~ Perspectives section were refereed by at least two individuals with competency in the respective area. Because of the wide range and diversity of the topics, it would have been im­ possible for us to make a consistently rational selection of papers without the help of the associate editors and referees. We are indeed grateful to them. The breadth of extremal methods and systems analysis, suggested by the range of topics covered in these papers, is characteristic of the field and also of the scholarly work of Professor Charnes. Extre­ mal methods and systems analysis has been a pioneering and systematic approach to the development and application of new scientific theories and methods for problems of management and operations in both the pri­ vate and public sectors, spanning all major disciplines from economics to engineering.

• Charnes, Abraham
• Operations Research
• algorithms
• game theory
• linear optimization
• nonlinear optimization
• optimization

• Department of Operations Research Institute for Management Science and Engineering, The Washington University, USA

  Anthony V. Fiacco

• Department of Mathematics, Carnegie-Mellon University, Pittsburgh, USA

  Kenneth O. Kortanek

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