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Titlebook: Stochastic Systems: Modeling, Identification and Optimization II; Roger J.- B. Wets Book 1976Latest edition Springer-Verlag Berlin Heidelb

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发表于 2025-3-21 18:19:10 | 显示全部楼层 |阅读模式
书目名称Stochastic Systems: Modeling, Identification and Optimization II
编辑Roger J.- B. Wets
视频video
丛书名称Mathematical Programming Studies
图书封面Titlebook: Stochastic Systems: Modeling, Identification and Optimization II;  Roger J.- B. Wets Book 1976Latest edition Springer-Verlag Berlin Heidelb
出版日期Book 1976Latest edition
关键词approximation; modeling; optimal control; optimization; programming
版次1
doihttps://doi.org/10.1007/BFb0120739
isbn_ebook978-3-642-00786-6Series ISSN 0303-3929 Series E-ISSN 2364-8201
issn_series 0303-3929
copyrightSpringer-Verlag Berlin Heidelberg 1976
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Nonanticipativity and ,,-martingales in stochastic optimization problems,on and is shown to be related to the more familiar concept—in stochastic programming—of relatively complete recourse. It is also shown that this restriction renders possible the justification of the dynamic programming technique.
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Monotone optimal policies for Markov decision processes,s for monotone transition probabilities. These play an important role in establishing the existence of monotone optimal policies. We illustrate this for controlled random walks and a multi-machine maintenance model.
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The structure of jump processes and related control problems,cription” of jump times and locations. This formulation enables us to derive in an elementary way the representation of all local martingales on the σ-fields generated by such a process as integrals with respect to a certain fundamental family of martingales. Two applications of this result are stud
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Regenerative Markov decision models, the existence of stationary optimal policies with respect to discounted expected and average expected return is shown. Also sensitive discount optimal policies do exist and limit decision rules, as the discount-factor tends to one, of discounted optimal rules are bias or equivalently average-overta
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Discretizations of multistage stochastic programming problems,he problem can be solved approximately, or in the limit, by solving a sequence of linear programming problems in ... Each of these problems is obtained by approximating the given random vectors by simple random vectors.
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Nonanticipativity and ,,-martingales in stochastic optimization problems,regularity conditions and a condition of “nonanticipative feasibility”, a system of Lagrange multipliers, characterized by a martingale property, can be associated with the constraints of the problem. Nonanticipative feasibility is expressed in terms of the nonanticipativity of a certain multifuncti
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