具有N策略和负顾客的反馈抢占型M/G/1重试可修排队模型解的渐近行为

研究具有N策略和负顾客的反馈抢占型M/G/1重试可修排队模型的时间依赖解的渐近行为.当初步服务的失效率函数η(x),主要服务的失效率函数μ(x)和修理时间的失效率函数ψ(x)满足0η≤η(x)≤η∞,0μ≤μ(x)≤μ∞,0ψ≤ψ(x)≤ψ∞并且η(x)是Lipschitz连续函数时,证明模型的时间依赖解指数稳定.

Asymptotic Behavior of the Solution of the M/G/1 Retrial G-Queueing Model with N-policy,Feedback,Preemptive Resume and Unreliable Server

We study asymptotic behavior of the time-dependent solution of the M/G/1 retrial G-queueing model with N-policy,feedback,preemptive resume and unreliable server and prove that if the initial service failure rate η(x),the main service rate μ(x) and repair rate ψ(x) satisfy 0＜（η）≤η(x)≤（η）＜∞,0＜（μ）≤μ(x)≤（μ）＜∞,0＜（ψ）≤ψ(x)≤（ψ）＜∞and η(x) is Lipschitz continuous,then its time-dependent solution is exponentially stable.