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Optimization

Structure and Applications

  • Book
  • © 2009

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Editors:
  1. Charles Pearce
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    You can also search for this editor in PubMed   Google Scholar

  2. Emma Hunt
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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Springer Optimization and Its Applications (SOIA, volume 32)

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-xx
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  2. Optimization: Structure

    1. Front Matter

      Pages 1-1
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    2. On the nondifferentiability of cone-monotone functions in Banach spaces

      • Jonathan Borwein, Rafal Goebel
      Pages 3-14

    3. Duality and a Farkas lemma for integer programs

      • Jean B. Lasserre
      Pages 15-39

    4. Some nonlinear Lagrange and penalty functions for problems with a single constraint

      • J.S. Giri, A.M. Rubinov†
      Pages 41-54

    5. Convergence of truncates in l 1 optimal feedback control 61

      • Robert Wenczel, Andrew Eberhard, Robin Hill
      Pages 55-93

    6. Asymptotical stability of optimal paths in nonconvex problems

      • Musa A. Mamedov
      Pages 95-134

    7. Pontryagin principle with a PDE: a unified approach

      • B. D. Craven
      Pages 135-141

    8. A turnpike property for discrete–time control systems in metric spaces

      • Alexander J. Zaslavski
      Pages 143-156

    9. Mond–Weir duality

      • B. Mond
      Pages 157-165

    10. Computing the fundamental matrix of an M/G/1–type Markov chain

      • Emma Hunt
      Pages 167-188

    11. A comparison of probabilistic and invariant subspace methods for the block M/G/1 Markov chain

      • Emma Hunt
      Pages 189-205

    12. Interpolating maps, the modulus map and Hadamardard’s inequality

      • S. S. Dragomir, Emma Hunt, C. E. M. Pearce
      Pages 207-223

  3. Optimization: Applications

    1. Front Matter

      Pages 225-225
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    2. Estimating the size of correcting codes using extremal graph problems

      • Sergiy Butenko, Panos Pardalos, Ivan Sergienko, Vladimir Shylo, Petro Stetsyuk
      Pages 227-243

    3. New perspectives on optimal transforms of random vectors

      • P. G. Howlett, C. E. M. Pearce, A. P. Torokhti
      Pages 245-259

    4. Optimal capacity assignment in general queueing networks

      • P.K. Pollett
      Pages 261-272

    5. Analysis of a simple control policy for stormwater management in two connected dams

      • Julia Piantadosi, Phil Howlett
      Pages 273-306

    6. Optimal design of linear consecutive–k–out–of–n systems

      • MaÅ‚gorzata O’Reilly
      Pages 307-326

    7. The (k+1)-th component of linear consecutive–k–out–of–n systems

      • MaÅ‚gorzata O’Reilly
      Pages 327-342
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Keywords

About this book

Optimization: Structure and Applications presents selected contributions from renowned researchers in the fields of operations research and industrial engineering. The book is divided into two parts; the first focuses on mathematical structure, and the second, on real-world applications. The work includes recent developments in several optimization-related topics such as decision theory, linear programming, turnpike theory, duality theory, convex analysis, and queuing theory. The applications presented include, but are not limited to, data imaging, network capacity allocation, water system management, and materials design.

The 21 self-contained chapters in this volume are devoted to the examination of modern trends and open problems in the field of optimization. This book will be a valuable tool not only to specialists interested in the technical detail and various applications presented, but also to researchers interested in building upon the book’s theoretical results.

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