Title
On the expected optimal value and the optimal expected value.
Abstract
Approaches to stochastic optimization have followed a variety of modeling philosophies, but little has been done to systematically compare different models found in the literature. This article is concerned with the basic concepts (and a comparison between them) underlying optimality under uncertainty, which is ubiquitous in all realistic problems of science and engineering. Specifically, it discusses two basic ideas—the minimum (maximum) expected value criterion and the expected minimum (maximum) value criterion—in a theoretical context. Illustrative applications are presented to justify the theoretical results.
Year
DOI
Venue
2006
10.1016/j.amc.2005.12.017
Applied Mathematics and Computation
Keywords
Field
DocType
Uncertainty,Random variable,Probability,Expected value,Optimal point
Random variable,Mathematical optimization,Stochastic optimization,Expected value,Probability distribution,Numerical analysis,Stochastic programming,Mathematics
Journal
Volume
Issue
ISSN
180
1
0096-3003
Citations 
PageRank 
References 
2
0.41
9
Authors
2
Name
Order
Citations
PageRank
Ana-Maria Croicu120.41
M. Yousuff Hussaini218618.73