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9781000673340, 1000673340
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ISBN 10: 1000673340
ISBN 13: 9781000673340
Author: Santosh Kumar
This work is concerned with theoretical developments in the area of mathematical programming, development of new algorithms and software and their applications in science and industry. It aims to expose recent mathematical developments to a larger audience in science and industry.
Recent Developments in Mathematical Programming 1st Table of contents:
Part 1: Review Articles in Mathematical Programming
1 Recent Advances in Global Optimization: A Tutorial Survey
2 Two-level Resource Control Preemptive Hierarchical Linear Programming Problem: A Review
3 Some Recent Developments in Infinite Programming
4 Recent Developments in Mathematical Programming Software for the Microcomputer
5 C-Programming: Its Theory and Applications
Part 2: Multicriteria Optimization
6 Aspects of Multicriteria Optimization
7 A Duality Theorem for a Fractional Multiobjective Problem with Square Root Terms
8 Efficiency and Duality Theory for a Class of Differentiable Multiobjective Programming Problems with Invexity
9 Efficiency and Duality Theory for a Class of Nondifferentiable Multiobjective Programs
10 Symmetric Duality for Nonlinear Multiobjective Programming
Part 3: System Optimization and Heuristics
11 Data Envelopment Analysis: A Comparative Tool
12 A Study of Protean Systems — Some Heuristic Strategies for Redundancy Optimization
Part 4: Interior-Point Approach and Quadratic Programming
13 Nearest Points in Nonsimplicial Cones and LCP’s with PSD Symmetric Matrices
14 A Study on Monotropic Piecewise Quadratic Programming
15 Interior-Point Algorithms for Quadratic Programming
Part 5: Computational Efficiency, Methods and Software
16 Problems in Protean Systems — Computer Programs for Some Solution Methods
17 Alternative Methods for Representing the Inverse of Linear Programming Basis Matrices
18 Toward Parallel Computing on Personal Computers in Mathematical Programming
Part 6: Mathematical Programming Applications
19 A Mixed Integer Model of Petroleum Fields with Moving Platforms
20 Optimal Stochastic Hydrothermal Scheduling Using Nonlinear Programming Technique
21 Nonlinear Programming Applied to the Dynamic Rescheduling of Trains
22 Network Routing Applications in National and Regional Planning
23 An Application of the Lagrangean Relaxation Based Approach to the Bulk Commodity Production Distribution Problem
Part 7: Algorithms, Games and Paradox
24 Flow Truncation in a Four Axial Sums’ Transportation Problem
25 Continuous Linear Programs and Continuous Matrix Game Equivalence
26 A Short Note on a Path-following Interpretation of the Primal-dual Algorithm
27 On a Paradox in Linear Fractional Transportation Problems
28 Nash Equilibrium Points of Stochastic N-uels
Appendices
Subject Index
Author Index
List of Referees
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Santosh Kumar,Recent Developments,Mathematical Programming