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This volume, Systems and Management Science by Extremal Methods, is the second in a series dedicated to honoring and extending the work of Abraham Charnes. The first volume, entitled Extremal Methods and Systems Analysis (Springer Verlag, Berlin, 1980), was edited by A.V. Fiacco and K.O. Kortanek. Subtitled "An International Symposium on the Occasion of Abraham Charnes' Sixtieth Birthday," this first volume consisted of a selection from papers presented at a conference in honor of Professor Charnes held at The University of Texas at Austin in September 1977. This second volume consists of papers, to be described more fully below, that were presented in a similar 2 conference held at the IC Institute of The University of Texas at Austin, Texas, in October of 1987, to honor Dr. Charnes on his seventieth birthday. All these papers were written by scholars and scientists whose own work has been affected by the contributions of this distinguished scholar and educator over a long period of time.




The invited contributions which make up this book are vigorous and relevant papers across a range of interconnected topics in management science. This volume consists of papers which were presented in a conference held at the IC2 Institute of the University of Texas at Austin in October of 1987. All of the papers have been written by excellent scholars whose work in areas ranging from engineering, through economics, management and many of the other social, managerial and natural sciences has been influenced by Dr. Abraham Charnes. In addition to the excellent theoretical contributions a number of applied papers are included in the volume.
The first section of the book contains papers which provide insight and perspective on the educational and administrative topics they address. Two describes and interprets Dr. Charnes' contributions to marketing, human resource planning, statistics and engineering. Succeeding sections contain more technical-mathematical papers. Dr. Charnes' research has influenced a variety of mathematical areas; the volume contains papers in semi-infinite programming, linear and nonlinear programming and game theory.



The invited contributions which make up this book are vigorous and relevant papers across a range of interconnected topics in management science. This volume consists of papers which were presented in a conference held at the IC2 Institute of the University of Texas at Austin in October of 1987. All of the papers have been written by excellent scholars whose work in areas ranging from engineering, through economics, management and many of the other social, managerial and natural sciences has been influenced by Dr. Abraham Charnes. In addition to the excellent theoretical contributions a number of applied papers are included in the volume.
The first section of the book contains papers which provide insight and perspective on the educational and administrative topics they address. Two describes and interprets Dr. Charnes' contributions to marketing, human resource planning, statistics and engineering. Succeeding sections contain more technical-mathematical papers. Dr. Charnes' research has influenced a variety of mathematical areas; the volume contains papers in semi-infinite programming, linear and nonlinear programming and game theory.

Content:
Front Matter....Pages i-xxv
Front Matter....Pages 1-1
A Dean’s Perspective on Abraham Charnes: The Nature of Creative and Innovative Research and Teaching....Pages 3-9
On Learning from Outliers....Pages 11-17
Abraham Charnes as Teacher and Educator: A Student’s Perspective....Pages 19-25
Front Matter....Pages 27-27
Contributions to Marketing....Pages 29-45
Contributions to Human Resource Planning....Pages 47-68
Contributions to Statistics....Pages 69-88
Contributions to Engineering....Pages 89-112
Front Matter....Pages 113-113
m Applications of M-Matrices....Pages 115-126
Applications of Generalized Inverses....Pages 127-147
Variational Inequalities and Related Projections....Pages 149-159
An Implementation and Computational Evaluation of New Criteria for the Simplex Method....Pages 161-179
Using the Charnes et al. LP Problem Generator to Test Two Linear Programming Codes....Pages 181-191
On the Charnes-Lemke Algorithm for Linear Programming Problems with Multipage Structure....Pages 193-202
Front Matter....Pages 203-203
A Tutorial on Parametric Nonlinear Programming Sensitivity and Stability Analysis....Pages 205-223
Topics in Input Optimization....Pages 225-243
Posterior Convergence Under Incomplete Information....Pages 245-254
On ?-Divergence and Its Applications....Pages 255-273
Spectral Estimation Via Convex Programming....Pages 275-289
On Random Payoff Matrix Games....Pages 291-308
Front Matter....Pages 309-309
Homomonotone Games and Monocore Solutions....Pages 311-326
Front Matter....Pages 309-309
Efficiency Evaluation Games....Pages 327-347
Rating Players in a Tournament: An mth-Generation Approach....Pages 349-360
The Analytic Hierarchy Process: Structure of the Problem and Its Solutions....Pages 361-371
Simplified von Neumann-Morgenstern Axioms for the Subjective Valuation of Risky Assets....Pages 373-393
A Review of Policy-Bounding Techniques in Fisheries Management....Pages 395-408
Spot Pricing of Electricity: An Appraisal of the Mit Model....Pages 409-426
A Survey of Cost and Revenue Allocation Problems....Pages 427-459
Front Matter....Pages 461-461
Semi-Infinite Programming: Recent Trends of Development....Pages 463-478
A Recursive, Volume-Reducing Algorithm for Semi-Infinite Linear Programming....Pages 479-490
First-and Second-Order Convex Programming Scaling Algorithms Applied to Geometric Programming....Pages 491-511
An Optimal Stopping Game in a Restricted Market....Pages 513-520
A Mixing Routine for the Design of Hierarchical Communications Networks....Pages 521-537
Back Matter....Pages 539-580


The invited contributions which make up this book are vigorous and relevant papers across a range of interconnected topics in management science. This volume consists of papers which were presented in a conference held at the IC2 Institute of the University of Texas at Austin in October of 1987. All of the papers have been written by excellent scholars whose work in areas ranging from engineering, through economics, management and many of the other social, managerial and natural sciences has been influenced by Dr. Abraham Charnes. In addition to the excellent theoretical contributions a number of applied papers are included in the volume.
The first section of the book contains papers which provide insight and perspective on the educational and administrative topics they address. Two describes and interprets Dr. Charnes' contributions to marketing, human resource planning, statistics and engineering. Succeeding sections contain more technical-mathematical papers. Dr. Charnes' research has influenced a variety of mathematical areas; the volume contains papers in semi-infinite programming, linear and nonlinear programming and game theory.

Content:
Front Matter....Pages i-xxv
Front Matter....Pages 1-1
A Dean’s Perspective on Abraham Charnes: The Nature of Creative and Innovative Research and Teaching....Pages 3-9
On Learning from Outliers....Pages 11-17
Abraham Charnes as Teacher and Educator: A Student’s Perspective....Pages 19-25
Front Matter....Pages 27-27
Contributions to Marketing....Pages 29-45
Contributions to Human Resource Planning....Pages 47-68
Contributions to Statistics....Pages 69-88
Contributions to Engineering....Pages 89-112
Front Matter....Pages 113-113
m Applications of M-Matrices....Pages 115-126
Applications of Generalized Inverses....Pages 127-147
Variational Inequalities and Related Projections....Pages 149-159
An Implementation and Computational Evaluation of New Criteria for the Simplex Method....Pages 161-179
Using the Charnes et al. LP Problem Generator to Test Two Linear Programming Codes....Pages 181-191
On the Charnes-Lemke Algorithm for Linear Programming Problems with Multipage Structure....Pages 193-202
Front Matter....Pages 203-203
A Tutorial on Parametric Nonlinear Programming Sensitivity and Stability Analysis....Pages 205-223
Topics in Input Optimization....Pages 225-243
Posterior Convergence Under Incomplete Information....Pages 245-254
On ?-Divergence and Its Applications....Pages 255-273
Spectral Estimation Via Convex Programming....Pages 275-289
On Random Payoff Matrix Games....Pages 291-308
Front Matter....Pages 309-309
Homomonotone Games and Monocore Solutions....Pages 311-326
Front Matter....Pages 309-309
Efficiency Evaluation Games....Pages 327-347
Rating Players in a Tournament: An mth-Generation Approach....Pages 349-360
The Analytic Hierarchy Process: Structure of the Problem and Its Solutions....Pages 361-371
Simplified von Neumann-Morgenstern Axioms for the Subjective Valuation of Risky Assets....Pages 373-393
A Review of Policy-Bounding Techniques in Fisheries Management....Pages 395-408
Spot Pricing of Electricity: An Appraisal of the Mit Model....Pages 409-426
A Survey of Cost and Revenue Allocation Problems....Pages 427-459
Front Matter....Pages 461-461
Semi-Infinite Programming: Recent Trends of Development....Pages 463-478
A Recursive, Volume-Reducing Algorithm for Semi-Infinite Linear Programming....Pages 479-490
First-and Second-Order Convex Programming Scaling Algorithms Applied to Geometric Programming....Pages 491-511
An Optimal Stopping Game in a Restricted Market....Pages 513-520
A Mixing Routine for the Design of Hierarchical Communications Networks....Pages 521-537
Back Matter....Pages 539-580
....
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