AuthorPadberg, Manfred. author
TitleLinear Optimization and Extensions [electronic resource] / by Manfred Padberg
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999
Edition Second, Revised and Expanded Edition
Connect tohttp://dx.doi.org/10.1007/978-3-662-12273-0
Descript XXI, 501 p. online resource

SUMMARY

I was pleasantly surprised when I was asked by Springer-Verlag to prepare a second edition of this volume on Linear Optimization and Extensions, which - not exactly contrary to my personal expectations - has apparently been accepted reasonably weIl by the global optimization community. My objective in putting this book together was originally - and still is - to detail the major algorithmic ideas in linear optimization that have evolved in the past fifty years or so and that have changed the historical optimization "landscape" in substantial ways - both theoretically and computationally. While I may have overlooked the importance of some very recent developments - the work by Farid Alizadeh which generalizes linear programming to "sem i-definite" programming is perhaps a candidate for one of my omissions - I think that major new breakthraughs on those two fronts that interest me - theory and computation - have not occurred since this book was published originally. As a consequence I have restricted myself to a thorough re-working of the original manuscript with the goal of making it more readable. Of course, I have taken this opportunity to correct a few "Schรถnheitsfehler" of the first edition and to add some illustrations. The index to this volume has been extended substantially - to permit a hurried reader a quicker glance at the wealth of topics that were covered nevertheless already in the first edition. As was the case with the first edition, Dr


CONTENT

The Linear Programming Problem -- Basic Concepts -- Five Preliminaries -- Simplex Algorithms -- Primal-Dual Pairs -- Analytical Geometry -- Projective Algorithms -- Ellipsoid Algorithms -- Combinatorial Optimization: An Introduction


SUBJECT

  1. Mathematics
  2. Operations research
  3. Decision making
  4. Mathematical optimization
  5. Calculus of variations
  6. Discrete mathematics
  7. Combinatorics
  8. Economic theory
  9. Mathematics
  10. Optimization
  11. Discrete Mathematics
  12. Economic Theory/Quantitative Economics/Mathematical Methods
  13. Combinatorics
  14. Operation Research/Decision Theory
  15. Calculus of Variations and Optimal Control; Optimization