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 |
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引用本文: | 周学良. 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[J]. 数学的实践与认识, 2017, 0(3): 151-164 |
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作者姓名: | 周学良 |
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作者单位: | 新疆工业职业技术学院公共教学部,新疆乌鲁木齐,830022 |
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摘 要: | 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.
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关 键 词: | 时间依赖解 拟紧算子 特征值 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 |
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Abstract: | 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. |
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Keywords: | Time-dependent solution quasi-compact operator eigenvalue exponentially stable |
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