Title
A Note on Gradient Estimation for Maintenance Systems
Abstract
This technical note addresses gradient estimation for the cost performance of a two-component maintenance system with respect to the threshold parameter of an age replacement policy. We derive a new gradient estimator based on the measure-valued differentiation (MVD) approach. The performance of the phantom estimator is compared with that of the known smoothed perturbation analysis (SPA) estimator. We show that the phantom estimator has a lower variance, and requires less computational effort than the SPA estimator.
Year
DOI
Venue
2007
10.1109/TAC.2007.908333
Automatic Control, IEEE Transactions
Keywords
Field
DocType
gradient methods,maintenance engineering,perturbation techniques,age replacement policy,gradient estimation,measure-valued differentiation approach,phantom estimator,smoothed perturbation analysis estimator,two-component maintenance system,Gradient estimation,maintenance,measure-valued differentiation (MVD),simulation,smoothed perturbation analysis (SPA)
Efficient estimator,Minimum-variance unbiased estimator,Mathematical optimization,Stein's unbiased risk estimate,Mean squared error,Bias of an estimator,Trimmed estimator,Mathematics,Estimator,Consistent estimator
Journal
Volume
Issue
ISSN
52
11
0018-9286
Citations 
PageRank 
References 
1
0.36
2
Authors
2
Name
Order
Citations
PageRank
Bernd Heidergott112723.31
Taoying Farenhorst-Yuan2293.21