Recent Developments in Mathematical Programming

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Santosh Kumar, Australian Society for Operations Research
CRC Press, 1991 - Mathematics - 457 pages
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This book is concerned with theoretical developments in the area of mathematical programming including new algorithms (analytic and heuristic) and their applications in science and industry. It exposes recent mathematical developments to a larger audience in science and industry who may not be equipped with the necessary research background and provides good references in many branches of mathematical programming. The text includes research and tutorial papers giving details of use of recent developments in applied areas, as well as review and state-of-the-art papers providing a soruce of references to researchers in this field.
 

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Contents

A Mixed Integer Model of Petroleum Fields with Moving
19
Some Recent Developments in Infinite Programming
45
Recent Developments in Mathematical Programming Software
61
Moshe Sniedovich
79
MULTICRITERIA OPTIMIZATION
93
A Duality Theorem for a Fractional Multiobjective Problem with
101
Efficiency and Duality Theory for a Class of Differentiable
115
Multiobjeclive Programs
125
Problems in Protean Systems Computer Programs for Some
263
Alternative Methods for Representing the Inverse of Linear
273
Toward Parallel Computing on Personal Computers
303
Optimal Stochastic Hydrothermal Scheduling Using Nonlinear
335
Nonlinear Programming Applied to the Dynamic Rescheduling
345
Network Routing Applications in National and Regional Planning
359
An Application of the Lagrangean Relaxation Based Approach
369
ALGORITHMS GAMES AND PARADOX
383

Symmetric Duality for Nonlinear Multiobjective Programming
137
SYSTEM OPTIMIZATION AND HEURISTICS
155
A Study of Protean Systems Some Heuristic Strategies
181
Nearest Points in Nonsimplicial Cones and LCPs with
199
A Study on Monotropic Piecewise Quadratic Programming
213
InteriorPoint Algorithms for Quadratic Programming
237
Continuous Linear Programs and Continuous Matrix Game
397
A Short Note on a Pathfollowing Interpretation of the Primal
407
On a Paradox in Linear Fractional Transportation Problems
413
Nash Equilibrium Points of Stochastic Nuels
425
APPENDICES
453
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