Title
Rectangular Sets of Probability Measures
Abstract
AbstractIn this paper we consider the notion of rectangularity of a set of probability measures from a somewhat different point of view. We define rectangularity as a property of dynamic decomposition of a distributionally robust stochastic optimization problem and show how it relates to the modern theory of coherent risk measures. Consequently, we discuss robust formulations of multistage stochastic optimization problems in frameworks of stochastic programming, stochastic optimal control, and Markov decision processes.
Year
DOI
Venue
2016
10.1287/opre.2015.1466
Periodicals
Keywords
Field
DocType
multistage stochastic optimization,rectangularity,risk-averse optimization,robust optimal control and Markov decision processes,dynamic programming,coherent risk measures,time consistency
Dynamic programming,Stochastic optimization,Mathematical optimization,Time consistency,Probability measure,Markov decision process,Stochastic programming,Mathematics,Stochastic control
Journal
Volume
Issue
ISSN
64
2
0030-364X
Citations 
PageRank 
References 
5
0.44
6
Authors
1
Name
Order
Citations
PageRank
Alexander Shapiro11273147.62