Linear Programming: Foundations and Extensions: 4 - Rilegato

Vanderbei, Robert J.

 
9780792398042: Linear Programming: Foundations and Extensions: 4
Rilegato
ISBN 10: 0792398041 ISBN 13: 9780792398042
Casa editrice: Kluwer Academic Pub, 1996

Sinossi

This book focuses largely on constrained optimization. It begins with a substantial treatment of linear programming and proceeds to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Along the way, dynamic programming and the linear complementarity problem are touched on as well.
This book aims to be the first introduction to the topic. Specific examples and concrete algorithms precede more abstract topics. Nevertheless, topics covered are developed in some depth, a large number of numerical examples worked out in detail, and many recent results are included, most notably interior-point methods. The exercises at the end of each chapter both illustrate the theory, and, in some cases, extend it.
Optimization is not merely an intellectual exercise: its purpose is to solve practical problems on a computer. Accordingly, the book comes with software that implements the major algorithms studied. At this point, software for the following four algorithms is available:

  • The two-phase simplex method
  • The primal-dual simplex method
  • The path-following interior-point method
  • The homogeneous self-dual methods.£/LIST£.

    • Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

    Recensione

    `Vanderbei's book is thoroughly modern. Vanderbei's book has many novel features. Some nice features. This book has style. Overall, I greatly enjoyed reviewing this book, and I highly recommend it as a textbook for an advanced undergraduate or master's level course in linear programming, particularly for courses in an engineering environment. In addition, it also is a good reference book for interior point methods as well as for implementation and computational aspects of linear programming. This is an excellent new book.'
    Robert Freund, (MIT) in Optima, 56 (1997)
    `In conclusion, Vanderbei's book gives an excellent introduction to linear programminbg, especially the algorithmic side of the subject. The book is highly recommended for both self study and as teaching material.'
    Optima, 58 (1998)

    Contenuti

    Preface. Part 1: Basic Theory - The Simplex Method and Duality. 1. Introduction. 2. The Simplex Method. 3. Degeneracy. 4. Efficiency of the Simplex Method. 5. Duality Theory. 6. The Simplex Method in Matrix Notation. 7. Sensitivity and Parametric Analyses. 8. Implementation Issues. 9. Problems in General Form. 10. Convex Analysis. 11. Game Theory. 12. Regression. Part 2: Network-Type Problems. 13. Network Flow Problems. 14. Applications. 15. Structural Optimization. Part 3: Interior-Point Methods. 16. The Central Path. 17. A Path-Following Method. 18. The KKT System. 19. Implementation Issues. 20. The Affine-Scaling Method. 21. The Homogeneous Self-Dual Method. Part 4: Extensions. 22. Integer Programming. 23. Quadratic Programming. 24. Convex Programming. Appendix A: Source Listings. Answers to Selected Exercises. Bibliography. Index.

    Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

    Editore
    Kluwer Academic Pub
    Data di pubblicazione
    1996
    Lingua
    Inglese
    ISBN 10 
    0792398041
    ISBN 13 
    9780792398042
    Rilegatura
    Copertina rigida
    Numero di pagine
    418
    Contatto del produttore
    non disponibile
    Persona responsabile
    CMN Printpool Inh. Mathis Neumann
    https://www.also.com/ec/cms5/en_6000/6000/index.jsp

    Friedrich-Karl-Str. 9
    Hamburg
    Germania

    Altre edizioni note dello stesso titolo

    9780792381419: Linear Programming: Foundations and Extensions: 4

    Edizione in evidenza

    ISBN 10:  0792381416 ISBN 13:  9780792381419
    Casa editrice: Springer, 2008
    Brossura