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portada Stochastic Programming
Type
Physical Book
Author
Translated by
Publisher
Language
English
Pages
196
Format
Paperback
Dimensions
23.4 x 15.6 x 1.1 cm
Weight
0.30 kg.
ISBN13
9789401011693
Categories

Stochastic Programming

V. V. Kolbin (Author) · I. P. Grigoryev (Translated by) · Springer · Paperback

Stochastic Programming - Kolbin, V. V. ; Grigoryev, I. P.

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Synopsis "Stochastic Programming"

This book is devoted to the problems of stochastic (or probabilistic) programming. The author took as his basis the specialized lectures which he delivered to the graduates from the economic cybernetics department of Leningrad University beginning in 1967. Since 1971 the author has delivered a specialized course on Stochastic Programming to the gradu- ates from the faculty of applied mathematics/management processes at Leningrad University. The present monograph consists of seven chapters. In Chapter I, which is of an introductory character, consideration is given to the problems of uncertainty and probability, used for modelling complicated systems. Fundamental indications for the classification of stochastic pro- gramming problems are given. Chapter II is devoted to the analysis of various models of chance-constrained stochastic programming problems. Examples of technological and applied economic problems of management with chance-constraints are given. In Chapter III two-stage stochastic programming problems are investigated, various models are given, and these models are qualitatively analyzed. In the conclusion of the chapter consideration is given to: the transport problem with random data, the problem of the determination of production volume, and the problem of planning the flights of aircraft as two-stage stochastic programming problems. Multi-stage stochastic programming problems are investigated in Chapter IV. The dependencies between prior and posterior decision rules and decision distributions are given. Dual problems are investigated.

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