Title
Mean and variance optimization of non---linear systems and worst---case analysis
Abstract
In this paper, we consider expected value, variance and worst–case optimization of nonlinear models. We present algorithms for computing optimal expected value, and variance policies, based on iterative Taylor expansions. We establish convergence and consider the relative merits of policies based on expected value optimization and worst–case robustness. The latter is a minimax strategy and ensures optimal cover in view of the worst–case scenario(s) while the former is optimal expected performance in a stochastic setting. Both approaches are used with a small macroeconomic model to illustrate relative performance, robustness and trade-offs between the alternative policies.
Year
DOI
Venue
2009
10.1007/s10589-007-9136-7
Computational Optimization and Applications
Keywords
Field
DocType
iterative taylor expansion,case robustness,relative performance,variance policy,relative merit,alternative policy,expected value optimization,case optimization,case analysis,expected value · worst-case analysis · policy design,variance optimization,linear system,case scenario,optimal expected value,expected value,taylor expansion
Convergence (routing),Mathematical optimization,Minimax,Macroeconomic model,Nonlinear system,Robustness (computer science),Expected value,Mathematics,Case analysis,Taylor series
Journal
Volume
Issue
ISSN
43
2
0926-6003
Citations 
PageRank 
References 
0
0.34
3
Authors
4
Name
Order
Citations
PageRank
Panos Parpas110715.45
B. Rustem2275.64
volker wieland300.34
S. Žaković4328.91