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An optimal control method for fuzzy supplier switching problem

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Abstract

In a very recent paper, we have established a fuzzy supplier switching model with asymmetric information and apply the variational method to solve the proposed model. In this paper, we further investigate the proposed fuzzy supplier switching model and convert it into a common optimal control problem. Then the optimal supplier switching strategy can be derived by a new method called Pontryagin’s maximum principle which is an efficient tool to deal with the optimal control problem. The optimal supplier switching strategy can be obtained without considering the inflection point of the constraint condition and the formations of distribution function and density function.

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Acknowledgments

This work was supported by National Nature Science Foundation of China No. 71401158, Nature Science Foundation of Hubei province in China No. 2014CFB625, and Foundation of Hubei University of Automotive Technology (No. BK201301, No. 2014XY01).

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Authors and Affiliations

  1. H.T. College of Mathematics and Information Technology, Xingtai University, Xingtai, 054001, China

    Liu Haitao

  2. Department of Mechanical Engineering, Hubei University of Automotive Technology, Shiyan, 442002, China

    Gong Aihong & Hu Mingmao

Authors
  1. Liu Haitao
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  2. Gong Aihong
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  3. Hu Mingmao
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Correspondence to Gong Aihong.

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Haitao, L., Aihong, G. & Mingmao, H. An optimal control method for fuzzy supplier switching problem. Int. J. Mach. Learn. & Cyber. 6, 651–654 (2015). https://doi.org/10.1007/s13042-015-0392-z

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  • DOI: https://doi.org/10.1007/s13042-015-0392-z

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