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Nested Partitions Method for Stochastic Optimization

Author

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  • Leyuan Shi

    (University of Wisconsin–Madison)

  • Sigurdur O´lafsson

    (Iowa State University)

Abstract

The nested partitions (NP) method is a recently proposed new alternative for global optimization. Primarily aimed at problems with large but finite feasible regions, the method employs a global sampling strategy that is continuously adapted via a partitioning of the feasible region. In this paper we adapt the original NP method to stochastic optimization where the performance is estimated using simulation. We prove asymptotic convergence of the new method and present a numerical example to illustrate its potential.

Suggested Citation

  • Leyuan Shi & Sigurdur O´lafsson, 2000. "Nested Partitions Method for Stochastic Optimization," Methodology and Computing in Applied Probability, Springer, vol. 2(3), pages 271-291, September.
    • Handle: RePEc:spr:metcap:v:2:y:2000:i:3:d:10.1023_a:1010081212560
    DOI: 10.1023/A:1010081212560
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    References listed on IDEAS

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    1. Pierre L'Ecuyer & Peter W. Glynn, 1994. "Stochastic Optimization by Simulation: Convergence Proofs for the GI/G/1 Queue in Steady-State," Management Science, INFORMS, vol. 40(11), pages 1562-1578, November.
    2. Reuven Rubinstein, 1999. "The Cross-Entropy Method for Combinatorial and Continuous Optimization," Methodology and Computing in Applied Probability, Springer, vol. 1(2), pages 127-190, September.
    3. Stephen M. Robinson, 1996. "Analysis of Sample-Path Optimization," Mathematics of Operations Research, INFORMS, vol. 21(3), pages 513-528, August.
    4. Leyuan Shi & Sigurdur Ólafsson, 2000. "Nested Partitions Method for Global Optimization," Operations Research, INFORMS, vol. 48(3), pages 390-407, June.
    5. Rubinstein, Reuven Y. & Shapiro, Alexander, 1990. "Optimization of static simulation models by the score function method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 32(4), pages 373-392.
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    Cited by:

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    2. Michael Macgregor Perry, 2021. "Fisheries Management in Congested Waters: A Game-Theoretic Assessment of the East China Sea," Papers 2110.13966, arXiv.org, revised Feb 2022.

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