Title
Optimization via simulation: randomized-direction stochastic approximation algorithms using deterministic sequences
Abstract
We study the convergence and asymptotic normality of a generalized form of stochastic approximation algorithm with deterministic perturbation sequences. Both one-simulation and two-simulation methods are considered. Assuming a special structure of deterministic sequence, we establish sufficient condition on the noise sequence for a.s. convergence of the algorithm. Construction of such a special structure of deterministic sequence follows the discussion of asymptotic normality. Finally we discuss ideas on further research in analysis and design of the deterministic perturbation sequences.
Year
DOI
Venue
2002
10.5555/1030453.1030496
Winter Simulation Conference
Keywords
Field
DocType
sufficient condition,stochastic approximation algorithm,two-simulation method,special structure,deterministic perturbation sequence,noise sequence,generalized form,asymptotic normality,deterministic sequence
Convergence (routing),Stochastic optimization,Algorithm,Stochastic approximation,Mathematics,Perturbation (astronomy),Asymptotic distribution
Conference
ISBN
Citations 
PageRank 
0-7803-7615-3
3
0.55
References 
Authors
6
3
Name
Order
Citations
PageRank
Xiaoping Xiong1313.37
I-Jeng Wang227731.46
Michael C. Fu31161128.16