2013 Winter Simulations Conference (WSC) 2013
DOI: 10.1109/wsc.2013.6721442
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A subset selection procedure under input parameter uncertainty

Abstract: This paper considers a stochastic system simulation with unknown input distribution parameters and assumes the availability of a limited amount of historical data for parameter estimation. We investigate how to account for parameter uncertainty -the uncertainty that is due to the estimation of the input distribution parameters from historical data of finite length -in a subset selection procedure that identifies the stochastic system designs whose sample means are within a user-specified distance of the best m… Show more

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Cited by 27 publications
(11 citation statements)
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“…Although input uncertainty quantification for point estimation has been an active area of research, little has been done on the implications of input uncertainty for other analysis problems. An exception is Corlu and Biller (2013) who consider a subset selection problem in the presence of input uncertainty. We expect that many "solved" problems in stochastic simulation output analysis will be revisited taking input uncertainty into account.…”
Section: Discussionmentioning
confidence: 99%
“…Although input uncertainty quantification for point estimation has been an active area of research, little has been done on the implications of input uncertainty for other analysis problems. An exception is Corlu and Biller (2013) who consider a subset selection problem in the presence of input uncertainty. We expect that many "solved" problems in stochastic simulation output analysis will be revisited taking input uncertainty into account.…”
Section: Discussionmentioning
confidence: 99%
“…A common objective is to identify all systems whose means are within a specified distance from the mean of the best system. Corlu and Biller (2013) consider this problem while using historical data to quantify input uncertainty associated with each system. Many algorithms exist for performing multiple comparisons with a standard to determine the best system, where special consideration is given to some standard system.…”
Section: Literature Reviewmentioning
confidence: 99%
“…However, they are important building blocks for studying simulation optimization under input uncertainty. Recently, Corlu and Biller (2013) investigated a ranking-and-selection problem and develops a subset selection procedure by accounting for parameter uncertainty in the input distribution; to evaluate ranking-and-selection procedures, Waeber, Frazier, and Henderson (2010) proposed a performance analysis process that takes into account three layers of risk: the loss of decision, the configuration-specific risk (which is similar to the risk associated with input distribution in our context), and the overall risk. On the other hand, distributionally robust optimization (ORO) was first introduced by Scarf, Arrow, and Karlin (1958) in an inventory control problem and provides a nice framework for stochastic optimization under input uncertainty.…”
Section: Literature Reviewmentioning
confidence: 99%