Classical principles and optimization problems

B.S. Razumikhin


  • 1. The principle of virtual displacement. Problem of mathematical programming..- 2. The detachment principle and optimization methods.- 3. The energy theorem.- 4. Models for systems of linear equations and inequalities. Alternative theorems. Models for linear programming problems..- 5. Hodograph method for linear programming problems.- 6. Method of shifting elastic constraints for linear programming problems.- 7. Problem of maximum flow in networks.- 8. Models and methods for solving transportation problem of linear programming.- 9. Methods of decomposition of linear programming problems.- 10. Gradient methods.- 11. The method of aggregation of constraints.- 12. Foundations of thermodynamics.- 13. Equilibrium and distribution of resources.- 14. Models of economic equilibrium.- 15. Von Neumann's model of economic growth.- 16. Analytical dynamics.- 17. Dynamics of systems under elastic constraints.- 18. Dynamical problems of optimal control.- References.- Name index.

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書名 Classical principles and optimization problems
著作者等 Razumikhin, Boris Sergeevich
Razumuikhin B.S.
シリーズ名 Mathematics and its applications
出版元 D. Reidel Pub. Co.
Sold and Kluwer Academic
刊行年月 c1987
ページ数 xiv, 513 p.
大きさ 25 cm
ISBN 9027726051
NCID BA01389889
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言語 英語
出版国 オランダ