An Indifference-zone Selection Procedure with Minimum Switching and Sequential Sampling
نویسندگان
چکیده
Statistical ranking and selection (R&S) is a collection of experiment design and analysis techniques for selecting the “population” with the largest or smallest mean performance from among a finite set of alternatives. R&S procedures have received considerable research attention in the stochastic simulation community, and they have been incorporated in commercial simulation software. One of the ways that R&S procedures are evaluated and compared is via the expected number of samples (often replications) that must be generated to reach a decision. In this paper we argue that sampling cost alone does not adequately characterize the efficiency of ranking-and-selection procedures, and we introduce a new sequential procedure that provides the same statistical guarantees as existing procedures while reducing the expected total cost of application.
منابع مشابه
The tradeoff between sampling and switching: New sequential procedures for indifference-zone selection
Statistical Ranking and Selection (R&S) is a collection of experiment design and analysis techniques for selecting the “population” with the largest or smallest mean performance from among a finite set of alternatives. R&S procedures have received considerable research attention in the stochastic simulation community, and they have been incorporated in commercial simulation software. One of the...
متن کاملA Fully Sequential Elimination Procedure for Indifference-Zone Ranking and Selection with Tight Bounds on Probability of Correct Selection
We consider the indifference-zone (IZ) formulation of the ranking and selection problem with independent normal samples and known sampling variance. In this problem, we must use stochastic simulation to select the best among several noisy simulated systems, with a statistical guarantee on solution quality. Existing IZ procedures sample excessively in problems with many alternatives, in part bec...
متن کاملFully Sequential Indifference-Zone Selection Procedures with Variance-Dependent Sampling
Fully sequential indifference-zone selection procedures have been proposed in the simulation literature to select the system with the best mean performance from a group of simulated systems. However, the existing sequential indifference-zone procedures allocate an equal number of samples to the two systems in comparison even if their variances are drastically different. In this paper we propose...
متن کاملSequential selection procedures: Using sample means to improve efficiency
Two-stage selection procedures have been widely studied and applied to determine appropriate sample sizes for selecting the best of k designs. However, standard “indifference-zone” procedures are derived with a statistically conservative least-favorable-configuration assumption. The Enhanced Two-Stage Selection (ETSS) is a procedure that takes into account not only the variance of samples but a...
متن کاملSimple Procedures for Selecting the Best Simulated System When the Number of Alternatives is Large
In this paper, we address the problem of finding the simulated system with the best (maximum or minimum) expected performance when the number of alternatives is finite, but large enough that ranking-and-selection (R&S) procedures may require too much computation to be practical. Our approach is to use the data provided by the first stage of sampling in an R&S procedure to screen out alternative...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003