Extremal Methods and Systems Analysis: An International Symposium on the Occasion of Professor Abraham Charnes’ Sixtieth Birthday Austin, Texas, September 13 – 15, 1977

ISBN-13: 9783540097303 / Angielski / Miękka / 1980 / 550 str.

A. V. Fiacco;K. O. Kortanek

Opis

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."

Spis treści

I Historical Perspectives.- A Biography of Professor A. Charnes and His Scientific Work.- Abraham Charnes—A Strategy for Research and a Record of Results.- Publications of A. Charnes.- II Economic Modeling and Equilibrium.- Multi-page Format Economic Systems.- The Need for Dynamic Extensions of General-Equilibrium Methods.- A Few Words on Application of Optimization Methods to Economic Problems.- III. Planning and Decision Models.- Designing Investment Strategies for Fixed-Income Portfolios.- Multiple Criteria Decision Making for Discrete Alternatives with Ordinal Criteria.- IV. Generalized Inverses and Matrices.- Generalized Inverses of Matrices and Their Applications.- Cost-flow Networks and Generalized Inverses.- The Weighted Generalized Inverse in Nonlinear Programming—Active Set Selection Using a Variablemetric Generalization of the Simplex Algorithm.- Convergence Properties of Powers of Matrices with Applications to Iterative Methods for Solving Linear Systems.- V Transportation and Networks.- A Network Augmenting Path Basis Algorithm for Transshipment Problems.- More on the More for Less Paradox in the Distribution Model.- VI Game Theory.- The Nash Solution as a Model of Rational Bargaining.- Computing the Core of a Market Game.- VII Mathematical Programming Theory.- Second Order Theory of Extremum Problems.- An Elementary Treatment of Lagrange Multipliers.- Representation of Convex Sets.- On One-row Linear Programs.- Duality in Fuzzy Linear Programming.- VIII Mathematical Programming Computations.- Fractional Programming with Zero-one Variables.- Quadratic Termination of Conjugate Gradient Algorithms.- Rectilinear Distance Location-Allocation Problem: A Simplex Based Algorithm.- IX Complementarity and Fixed Point Theory.- Recent and Past Developments in the Simplicial Approximation Approach to Solving Nonlinear Equations—A Subjective View.- Global Continuation Methods for Finding All Solutions to Polynomial Systems of Equations in N Variables.- Worst-case Behavior of Local Fixed-point Algorithms.- X Stochastic, Dynamic, and Markov Models.- Quality Control and Free Boundary Problems.- The Use of Stochastic Programming for the Solution of Some Problems in Statistics and Probability.- Authors, Participants, and Affiliations.- Acting Associate Editors.- The Symposium Committee.