Reliability Analysis of Supply Chain System with the Multi-Suppliers and Single Demander

Zhang Xin (), Ding Zhaopeng () and Liu Yanxia
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Zhang Xin: Institute of Mathematics and Physics, Beijing Union University, Beijing100101, China
Ding Zhaopeng: Institute of Mathematics and Physics, Beijing Union University, Beijing100101, China
Liu Yanxia: College of Architecture, Yanching Institute of Technology, Sanhe065201, China

Journal of Systems Science and Information, 2021, vol. 9, issue 2, 192-202

Abstract: The time-dependent solution of a kind of supply chain system with the multi-suppliers and single demander is investigated in this paper. By choosing state space and defining operator of system, we transfer model into an abstract Cauchy problem. We are devoted to studying the unique existence of the system solution and its exponential stability by using the theory of C0-semigroup. We prove that the system operator generates C0-semigroup by the theory of cofinal operator and resolvent positive operator. We derive that the system has a unique nonnegative dynamic solution exponentially converging to its steady-state one which is the eigenfunction corresponding eigenvalue 0 of the system operator.

Keywords: supply chain; resolvent positive operator; cofinal operator; exponential stability (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:bpj:jossai:v:9:y:2021:i:2:p:192-202:n:1

DOI: 10.21078/JSSI-2021-192-11

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