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Progress in Mathematics: Probability Theory, Mathematical Statistics, and Theoretical Cybernetics: 11 (Progress in Mathematics, 11) - Softcover
Synopsis
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 . . . . . . . . . . . . . . . . . . . . . . . . . . .
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- PublisherSpringer
- Publication date2012
- ISBN 10 1468433113
- ISBN 13 9781468433111
- BindingPaperback
- LanguageEnglish
- Number of pages132
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Progress in Mathematics: Probability Theory, Mathematical Statistics, and Theoretical Cybernetics
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Progress in Mathematics : Probability Theory, Mathematical Statistics, and Theoretical Cybernetics
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11. The Geometry of Stochastic Linear Programming Problems. . . . . . . . . . . . . . . . . . . . 52. Chance-Constrained Problems . . . . . . . . . 83. Rigorous Statement of stochastic Linear Programming Problems . . . . . . . . . . 164. Game-Theoretic Statement of Stochastic Linear Programming Problems. . . . . . . . 185. Nonrigorous Statement of SLP Problems . . . 196. Existence of Domains of Stability of the Solutions of SLP Problems . . . . . . . . . 297. Stability of a Solution in the Mean. . . . . . . . . . . . 308. Dual Stochastic Linear Programming Problems. . . 379. Some Algorithms for the Solution of Stochastic Linear Programming Problems . . . . . . . . . . 4010. Stochastic Nonlinear Programming: Some First Results . . . . . . . . . . . . . . . . . . . . . . 4211. The Two-Stage SNLP Problem. . . . . . . . . . . . 4712. Optimality and Existence of a Plan in Stochastic Nonlinear Programming Problems. 58 Literature Cited . . . . . . . . . . . . . . . . . . . . . . . . . . Seller Inventory # 9781468433111
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 . . . . . . . . . . . . . . . . . . . . . . . . . . . 136 pp. Englisch. Seller Inventory # 9781468433111
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