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

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