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A Guide to Sample Average Approximation

Sujin Kim (), Raghu Pasupathy () and Shane G. Henderson ()
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Sujin Kim: National University of Singapore
Raghu Pasupathy: Purdue University
Shane G. Henderson: Cornell University

Chapter Chapter 8 in Handbook of Simulation Optimization, 2015, pp 207-243 from Springer

Abstract: Abstract This chapter reviews the principles of sample average approximation (SAA) for solving simulation optimization problems. We provide an accessible overview of the area and survey interesting recent developments. We explain when one might want to use SAA and when one might expect it to provide good-quality solutions. We also review some of the key theoretical properties of the solutions obtained through SAA. We contrast SAA with stochastic approximation (SA) methods in terms of the computational effort required to obtain solutions of a given quality, explaining why SA “wins” asymptotically. However, an extension of SAA known as retrospective optimization can match the asymptotic convergence rate of SA, at least up to a multiplicative constant.

Keywords: Sample Average Approximation (SAA); Retrospective Optimization; Stochastic Approximation (SA); Infinitesimal Perturbation Analysis (IPA); SAA Problem (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (36)

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DOI: 10.1007/978-1-4939-1384-8_8

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