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Provably improving the optimal computing budget allocation algorithm

Published: 09 December 2018 Publication History

Abstract

We boost the performance of the Optimal Computing Budget Allocation (OCBA) algorithm, a widely used and studied algorithm for Ranking and Selection (as known as Best Arm Identification) under a fixed budget. The proposed fully sequential algorithms, OCBA+ and OCBAR, are shown to have better performance both theoretically and numerically. Surprisingly, we reveal that in a two-design setting, a constant initial sample size in a family of OCBA-type algorithms (including the original OCBA) only amounts to a sub-exponential or even polynomial convergence rate of the probability of false selection (PFS). In contrast, our algorithms are guaranteed to converge exponentially fast, as is shown by a finite-sample bound on the PFS.

References

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Chen, C.-H., D. He, and M. Fu. 2006. "Efficient Dynamic Simulation Allocation in Ordinal Optimization". IEEE Transactions on Automatic Control 51(12):2005--2009.
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Chen, C.-H., and L. H. Lee. 2010. Stochastic Simulation Optimization: An Optimal Computing Budget Allocation. 1st ed. River Edge, NJ, USA: World Scientific Publishing Co., Inc.
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Frazier, P. I. 2014. "A Fully Sequential Elimination Procedure for Indifference-Zone Ranking and Selection with Tight Bounds on Probability of Correct Selection". Operations Research 62(4):926--942.
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Glynn, P., and S. Juneja. 2004. "A Large Deviations Perspective on Ordinal Optimization". In Proceedings of the 2004 Winter Simulation Conference, edited by J. Smith et al., 577--585. Piscataway, New Jersey: IEEE.
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Glynn, P., and S. Juneja. 2015. "Ordinal Optimization-Empirical Large Deviations Rate Estimators, and Stochastic Multi-Armed Bandits". arXiv preprint arXiv:1507.04564.
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Jacobovic, R., and O. Zuk. 2017. "On the Asymptotic Efficiency of Selection Procedures for Independent Gaussian Populations". Electronic Journal of Statistics 11(2):5375--5405.
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Kim, S.-H., and B. L. Nelson. 2001. "A Fully Sequential Procedure for Indifference-Zone Selection in Simulation". ACM Transactions on Modeling and Computer Simulation (TOMACS) 11(3):251--273.
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Lee, L. H., E. P. Chew, S. Teng, and D. Goldsman. 2004. "Optimal Computing Budget Allocation for Multi-Objective Simulation Models". In Proceedings of the 2004 Winter Simulation Conference, edited by J. Smith et al., 586--594. Piscataway, New Jersey: IEEE.
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Pasupathy, R., S. R. Hunter, N. A. Pujowidianto, L. H. Lee, and C.-H. Chen. 2015. "Stochastically Constrained Ranking and Selection via SCORE". ACM Transactions on Modeling and Computer Simulation (TOMACS) 25(1):1.

Cited By

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  • (2021)On the convergence of optimal computing budget allocation algorithmsProceedings of the Winter Simulation Conference10.5555/3522802.3523026(1-12)Online publication date: 13-Dec-2021
  • (2021)Dynamic sampling policy for subset selectionProceedings of the Winter Simulation Conference10.5555/3522802.3522957(1-12)Online publication date: 13-Dec-2021

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cover image ACM Conferences
WSC '18: Proceedings of the 2018 Winter Simulation Conference
December 2018
4298 pages
ISBN:978153866570

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IEEE Press

Publication History

Published: 09 December 2018

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WSC '18
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WSC '18: Winter Simulation Conference
December 9 - 12, 2018
Gothenburg, Sweden

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WSC '18 Paper Acceptance Rate 183 of 260 submissions, 70%;
Overall Acceptance Rate 3,413 of 5,075 submissions, 67%

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View all
  • (2021)On the convergence of optimal computing budget allocation algorithmsProceedings of the Winter Simulation Conference10.5555/3522802.3523026(1-12)Online publication date: 13-Dec-2021
  • (2021)Dynamic sampling policy for subset selectionProceedings of the Winter Simulation Conference10.5555/3522802.3522957(1-12)Online publication date: 13-Dec-2021

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