LINEAR PROGRAMMING AND GAME THEORY-------PHI
Description:
This compact book
is an excellent elucidation of the basics of optimization theory in the
areas of linear programming and game theory. The theory has been
developed in a systematic manner with a recapitulation of the necessary
mathematical preliminaries including in good measure the elements of
convexity theory. All the essential topics such as simplex algorithm,
duality, revised simplex method, two-phase method and dual simplex
method have been discussed lucidly. The age-old transportation and
assignment problems have been treated thoroughly to manifest all the
dimensions of the problems. Finally, the game theory comes with grandeur
of reality of conflicts.
This user-friendly text is designed
for the undergraduate students in mathematics. Besides, it will be
useful to students pursuing courses in engineering, management and
economics.
Contents:
Preface.
1. Mathematical Programming.
2. Mathematical Preliminaries.
3. Simplex Method.
4. Duality.
5. Dual Simplex Method.
6. Revised Simplex Method.
7. Integer Programming.
8. Sensitivity Analysis.
9. Transportation Problems.
10. Assignment Problems.
11. Theory of Games.
Appendix.
Bibliography.
Index.
