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Partitioned Random Search for Global Optimization with Sampling Cost and Discounting Factor

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  • H. Q. Ye
  • Z. B. Tang

Abstract

The method of partitioned random search has been proposed in recent years to obtain an as good as possible solution for the global optimization problem (1). A practical algorithm has been developed and applied to real-life problems. However, the design of this algorithm was based mainly on intuition. The theoretical foundation of the method is an important issue in the development of efficient algorithms for such problems. In this paper, we generalize previous theoretical results and propose a sequential sampling policy for the partitioned random search for global optimization with sampling cost and discounting factor. A proof of the optimality of the proposed sequential sampling policy is given by using the theory of optimal stopping.

Suggested Citation

  • H. Q. Ye & Z. B. Tang, 2001. "Partitioned Random Search for Global Optimization with Sampling Cost and Discounting Factor," Journal of Optimization Theory and Applications, Springer, vol. 110(2), pages 445-455, August.
  • Handle: RePEc:spr:joptap:v:110:y:2001:i:2:d:10.1023_a:1017539732327
    DOI: 10.1023/A:1017539732327
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    References listed on IDEAS

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    1. Z. B. Tang, 1998. "Optimal Sequential Sampling Policy of Partitioned Random Search and Its Approximation," Journal of Optimization Theory and Applications, Springer, vol. 98(2), pages 431-448, August.
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