摘要
描述单重休假的M/M/1排队模型的主算子的点谱.由此推出:1)该主算子生成的C_0-半群的本质增长界等于0.从而,它不是拟紧算子.2)该C_0-半群的本质谱界等于1.3)该模型的时间依赖解不可能指数收敛于其稳态解.
In this paper, we describe point spectra of the operator which corresponds to the exhaustive-service M/M/1 queueing model with single vacations. Our result implies： 1） The essential growth bound of the C0-semigroup generated by the operator is 0 and therefore it is not quasi-compact. 2） The essential spectral bound of the Co- semigroup is equal to 1. 3） It is impossible that the time-dependent solution of the model exponentially converges to its steady-state solution.
出处
《系统科学与数学》
CSCD
北大核心
2015年第1期49-64,共16页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(11371303)资助课题
关键词
单重休假的M/M/1排队模型
特征值
几何重数
本质增长界
Exhaustive-service M/M/1 queueing model with single vacations, eigen-value, geometric multiplicity, essential growth bound.
