Belief degree of optimal models for uncertain single-period supply chain problem
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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.
KeywordsUncertainty theory Uncertain demand Uncertain variable Newsboy problem
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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Conflict of interest
The authors declare that they have no conflict of interest.
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This article does not contain any studies with human participants or animals performed by any of the authors.
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