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Optimization and Related Topics

  • Book
  • © 2001

Overview

Editors:
  1. Alexander Rubinov

    1. School of Information Technology & Mathematical Sciences, University of Ballarat, Victoria, Australia

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    You can also search for this editor in PubMed   Google Scholar

  2. Barney Glover

    1. School of Mathematics and Statistics, Curtin University of Technology, Australia

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Applied Optimization (APOP, volume 47)

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Numerical Methods and Applications

    1. Front Matter

      Pages 1-1
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    2. An Approach to Constructing Generalized Penalty Functions

      • Mikhail Andramonov
      Pages 3-14

    3. An Exact Method for Solving the Subproblem of the Cutting Angle Method of Global Optimization

      • Djangir A. Babayev
      Pages 15-26

    4. On Modeling Risk in Markov Decision Processes

      • Steve Levitt, Adi Ben-Israel
      Pages 27-40

    5. Multiplicative Programming and beyond Via C-Programming

      • Leonid Churilov, Moshe Sniedovich
      Pages 41-60

    6. Computing Optimal Control on MATLAB — The SCOM Package and Economic Growth Models

      • B. D. Craven, S. M. N. Islam
      Pages 61-70

    7. Stochastic Optimal Control of a Solar Car

      • John Boland, Vladimir Gaitsgory, Phil Howlett, Peter Pudney
      Pages 71-81

    8. On Optimal Algorithms in Emergent Computation

      • Victor Korotkich
      Pages 83-102

    9. Optimal Estimation of Signal Parameters Using Bilinear Observations

      • Panos M. Pardalos, Pavel S. Knopov, Stanislav P. Uryasev, Vitaliy A. Yatsenko
      Pages 103-117

    10. On an Extremal Problem Arising in Queueing Theory and Telecommunications

      • Michael Peake, Charles E. M. Pearce
      Pages 119-134

    11. Level Functions of Some Optimal Value Functions

      • Huifu Xu
      Pages 135-152

    12. Regularized Gap Functions and D-Gap Functions for Nonsmooth Variational Inequalities

      • Huifu Xu
      Pages 153-176

  3. Theory of Optimization and Related Topics

    1. Front Matter

      Pages 177-177
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    2. Convex Spectral Functions of Compact Operators, Part II: Lower Semicontinuity and Rearrangement Invariance

      • Jonathan M. Borwein, Adrian S. Lewis, Qiji J. Zhu
      Pages 179-196

    3. Some Inequalities for Riemann-Stieltjes Integral and Applications

      • S. S. Dragomir
      Pages 197-235

    4. Prox-Regularity and Subjets

      • Andrew Eberhard
      Pages 237-313

    5. Concerning Differentiability Properties of Locally Lipschitz Functions

      • J. R. Giles, Scott Sciffer
      Pages 315-323

    6. Laurent Series for the Inversion of Perturbed Linear Operators on Hilbert Space

      • Phil Howlett, Kostya Avrachenkov
      Pages 325-342

    7. The Extremal Principle and its Applications to Optimization and Economics

      • Boris S. Mordukhovich
      Pages 343-369
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Keywords

About this book

This volume contains, in part, a selection of papers presented at the sixth Australian Optimization Day Miniconference (Ballarat, 16 July 1999), and the Special Sessions on Nonlinear Dynamics and Optimization and Operations Re­ search - Methods and Applications, which were held in Melbourne, July 11-15 1999 as a part of the Joint Meeting of the American Mathematical Society and Australian Mathematical Society. The editors have strived to present both con­ tributed papers and survey style papers as a more interesting mix for readers. Some participants from the meetings mentioned above have responded to this approach by preparing survey and 'semi-survey' papers, based on presented lectures. Contributed paper, which contain new and interesting results, are also included. The fields of the presented papers are very large as demonstrated by the following selection of key words from selected papers in this volume: • optimal control, stochastic optimal control, MATLAB, economic models, implicit constraints, Bellman principle, Markov process, decision-making under uncertainty, risk aversion, dynamic programming, optimal value function. • emergent computation, complexity, traveling salesman problem, signal estimation, neural networks, time congestion, teletraffic. • gap functions, nonsmooth variational inequalities, derivative-free algo­ rithm, Newton's method. • auxiliary function, generalized penalty function, modified Lagrange func­ tion. • convexity, quasiconvexity, abstract convexity.

Editors and Affiliations

  • School of Information Technology & Mathematical Sciences, University of Ballarat, Victoria, Australia

    Alexander Rubinov

  • School of Mathematics and Statistics, Curtin University of Technology, Australia

    Barney Glover

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