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

作　　者：Xin ZHANG Zhaopeng DING Yanxia LIU 

机构地区：[1]Institute of Mathematics and Physics,Beijing Union University,Beijing 100101,China [2]Institute of Fundamental and Interdisciplinary Sciences,Beijing Union University,Beijing 100101,China [3]College of Architecture,Yanching Institute of Technology,Sanhe 065201,China

出　　处：《Journal of Systems Science and Information》2021年第2期192-202,共11页系统科学与信息学报（英文）

基　　金：Premium Funding Project for Academic Human Resources Development in Beijing Union University(BPHR2020CZ06)。

摘　　要：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 C_(0)-semigroup.We prove that the system operator generates C_(0)-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.

关 键 词：supply chain resolvent positive operator cofinal operator exponential stability 

分 类 号：F274[经济管理—企业管理]