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Belief degree of optimal models for uncertain single-period supply chain problem

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Abstract

Mathematical model formulations for single-period supply chain problem depend on how to describe the demand. This paper applies uncertainty theory, which is a branch of axiomatic mathematics for dealing with human uncertainty, to model demand distribution. Uncertain decentralized management model and uncertain centralized management model are developed. Unique closed-form solutions for the two models are derived. The belief degree of “order quantity being less than the supply chain optimal order quantity” is proposed and the lower bound of the belief degree is obtained and carefully analyzed. Finally, some examples are presented to illustrate our method.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. U1404701), the Scholarship Programm of China Scholarship Council (Grant No. 201509895007), the Soft Science Research Program of Henan Province (Grant No. 152400410447), the Science Foundation of Henan University of Technology (Grant No. 2017RCJH11) and the Key Research Base of Humanities and Social Sciences for Universities in Henan Province.

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  1. Henan University of Technology, Zhengzhou, Henan Province, China

    Sibo Ding

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  1. Sibo Ding
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Correspondence to Sibo Ding.

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Communicated by V. Loia.

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Ding, S. Belief degree of optimal models for uncertain single-period supply chain problem. Soft Comput 22, 5879–5887 (2018). https://doi.org/10.1007/s00500-017-2736-y

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