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

Author

Listed:
  • Zhang Xin
  • Ding Zhaopeng

    (Institute of Mathematics and Physics, Beijing Union University, Beijing100101, China)

  • Liu Yanxia

    (College of Architecture, Yanching Institute of Technology, Sanhe065201, China)

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.

Suggested Citation

  • Zhang Xin & Ding Zhaopeng & Liu Yanxia, 2021. "Reliability Analysis of Supply Chain System with the Multi-Suppliers and Single Demander," Journal of Systems Science and Information, De Gruyter, vol. 9(2), pages 192-202, April.
    • Handle: 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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    References listed on IDEAS

    as
    1. Bruno Bieth & Liang Hong & Jyotirmoy Sarkar, 2010. "A standby system with two types of repair persons," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 26(5), pages 577-594, September.
    2. Beamon, Benita M., 1998. "Supply chain design and analysis:: Models and methods," International Journal of Production Economics, Elsevier, vol. 55(3), pages 281-294, August.
    3. Zhang, Yuan Lin & Wang, Guan Jun, 2009. "A geometric process repair model for a repairable cold standby system with priority in use and repair," Reliability Engineering and System Safety, Elsevier, vol. 94(11), pages 1782-1787.
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