portada Progress in Mathematics: Probability Theory, Mathematical Statistics, and Theoretical Cybernetics (en Inglés)

Progress in Mathematics: Probability Theory, Mathematical Statistics, and Theoretical Cybernetics (en Inglés)

Formato

Libro Físico

Autor

R. V. Gamkrelidze

Editorial

Springer

Idioma

Inglés

N° páginas

124

Encuadernación

Tapa Blanda

Dimensiones

22.9x15.2x0.7 cm

Peso

0.19 kg.

ISBN13

9781468433111

Categorías

Álgebra
Cálculo y análisis matemático
Probabilidad y estadística

Progress in Mathematics: Probability Theory, Mathematical Statistics, and Theoretical Cybernetics (en Inglés)

R. V. Gamkrelidze (Autor) · Springer · Tapa Blanda

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Reseña del libro "Progress in Mathematics: Probability Theory, Mathematical Statistics, and Theoretical Cybernetics (en Inglés)"

This volume contains two review articles: "Stochastic Pro- gramming" by Vo V. Kolbin, and "Application of Queueing-Theoretic Methods in Operations Research, " by N. Po Buslenko and A. P. Cherenkovo The first article covers almost all aspects of stochastic programming. Many of the results presented in it have not pre- viously been surveyed in the Soviet literature and are of interest to both mathematicians and economists. The second article com- prises an exhaustive treatise on the present state of the art of the statistical methods of queueing theory and the statistical modeling of queueing systems as applied to the analysis of complex systems. Contents STOCHASTIC PROGRAMMING V. V. Kolbin Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. The Geometry of Stochastic Linear Programming Problems. . . . . . . . . . . . . . . . . . . . 5 2. Chance-Constrained Problems . . . . . . . . . 8 3. Rigorous Statement of stochastic Linear Programming Problems . . . . . . . . . . 16 4. Game-Theoretic Statement of Stochastic Linear Programming Problems. . . . . . . . 18 5. Nonrigorous Statement of SLP Problems . . . 19 6. Existence of Domains of Stability of the Solutions of SLP Problems . . . . . . . . . 29 7. Stability of a Solution in the Mean. . . . . . . . . . . . 30 8. Dual Stochastic Linear Programming Problems. . . 37 9. Some Algorithms for the Solution of Stochastic Linear Programming Problems . . . . . . . . . . 40 10. Stochastic Nonlinear Programming: Some First Results . . . . . . . . . . . . . . . . . . . . . . 42 11. The Two-Stage SNLP Problem. . . . . . . . . . . . 47 12. Optimality and Existence of a Plan in Stochastic Nonlinear Programming Problems. 58 Literature Cited . . . . . . . . . . . . . . . . .. . . . . . . . . .