Title
Sequest: A Sequential Procedure for Estimating Quantiles in Steady-State Simulations
Abstract
AbstractSequest is an automated sequential simulation-analysis procedure designed to provide improved point and confidence-interval (CI) estimators for a designated steady-state quantile by the use of batching and sectioning. The procedure incorporates techniques to do the following: (i) reduce the absolute bias of the sectioning-based point estimator caused by atypical simulation initialization or an inadequate sample size, (ii) adjust the batching-based CI half-length to compensate for correlation or skewness of the batch quantile estimators used in computing the CI half-length, and (iii) obtain a sample size sufficient to yield a CI satisfying user-specified requirements on the CI’s coverage probability and its absolute or relative precision. In a set of difficult test problems, Sequest compared favorably with its competitors, requiring smaller average sample sizes while delivering better CI conformance to the given coverage and precision requirements.
Year
DOI
Venue
2019
10.1287/opre.2018.1829
Periodicals
Keywords
Field
DocType
quantile estimation,method of batching,method of sectioning,sequential procedure,steady-state simulation
Mathematical optimization,Steady state simulation,Quantile,Steady state,Mathematics,Estimator
Journal
Volume
Issue
ISSN
67
4
0030-364X
Citations 
PageRank 
References 
1
0.35
0
Authors
5
Name
Order
Citations
PageRank
Christos Alexopoulos142677.68
David Goldsman2904159.71
Anup C. Mokashi372.94
Kai-Wen Tien451.83
James R. Wilson5840143.42