数学杂志2025，Vol.45Issue(5)：456-470,15.
一类具有两种故障状态的M/M/1可修排队系统的一个特征值及其应用
AN EIGENVALUE OF THE REPAIRABLE M/M/1 QUEUEING SYSTEM WITH TWO KINDS OF BREAKDOWN STATES AND ITS APPLICATION
摘要
Abstract
The asymptotic property of the time-dependent solution corresponding to a repairable M/M/1 queueing system with two kinds of breakdown states has been studied.We prove that 0 is an eigenvalue of the main operator and its conjugate operator with geometric multiplicity one corresponding to the queueing system by using the probability generating function.Based on certain constraints,the time-dependent solution of the system strongly converges to the steady-state solution of the system is obtained.Some conclusions of the dynamic analysis of the queuing system are extended.关键词
具有两种故障状态的M/M/1可修排队系统/共轭算子/几何重数/特征值Key words
the repairable queueing system with two kinds of breakdown states/adjoint operator/geometric multiplicity/eigenvalue分类
数理科学引用本文复制引用
周学良,张庆红..一类具有两种故障状态的M/M/1可修排队系统的一个特征值及其应用[J].数学杂志,2025,45(5):456-470,15.基金项目
国家社会科学基金资助(24XTJ003). （24XTJ003）
