Property of the Bubble Gum Operator of a Multi-State Repairable System
Che Ming-zh · Shuxue de shijian yu renshi · 2014
This paper present a multi-state repairable bubble gum production system which consists of fifteen sub-units working in series-parallel configuration.Using Co-semigroup theory,we first prove the system operator is a densely defined resolvent positive operator.Then,we obtain the adjoint operator of the system operator and its domain.Furthermore,we prove that 0 is the growth bound of the system operator.Finally,we show that 0 is also the upper spectral bound of the system operator using the concept of cofinal and relative theory.