Probability Theory, Mathematical Statistics, and Theoretical Cybernetics. Progress in Mathematics, 11

Gamkrelidze, R. V.:

ISBN 10: 0306392119 / ISBN 13: 9780306392115

Editore: Plenum Press, 1971

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124 Seiten Der Erhaltungszustand des hier angebotenen Werks ist trotz seiner Bibliotheksnutzung sehr sauber. Es befindet sich neben dem Rückenschild lediglich ein Bibliotheksstempel im Buch; ordnungsgemäß entwidmet. In ENGLISCHER Sprache. Sprache: Englisch Gewicht in Gramm: 320. Codice articolo 2086496

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Titolo: Probability Theory, Mathematical Statistics,...

Casa editrice: Plenum Press

Data di pubblicazione: 1971

Legatura: gebundene Ausgabe

Condizione: Gut

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Riassunto:

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 ...

Contenuti:

Stochastic Programming.- Application of Queueing-Theoretic Methods in Operations Research.