具有剩余寿命的M/G/1/K排队模型非负解的存在唯一性
Existence and Uniqueness of Nonnegative Solution of M/G/1/K Queuing System with Remaining Service Time as the Supplementary Variable
摘要
研究了以剩余寿命作为增补变量的M/G/1/K排队模型.利用泛函分析中线性算子半群的积分半群理论讨论了该模型的瞬态解的存在唯一性问题.
In this paper, a M/G/1/K queue model with the remaining life as a supplementary variable is discussed. By using integrated semigroup theory in functional analysis the existence and uniqueness of positive solution of this mode is obtained.
出处
《应用泛函分析学报》
CSCD
2011年第4期413-415,424,共4页
Acta Analysis Functionalis Applicata
基金
国家自然科学青年基金(11001013)
参考文献7
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二级参考文献4
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共引文献3
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1王守印,赵国喜.M^n/G/1/N(E,MV)排队系统的解[J].河南师范大学学报（自然科学版）,2009,37(3):19-21.
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2杨利娟,赵志欣,朱广田.具有剩余寿命且排队空间有限的M/G/1排队模型非负解的存在唯一性[J].数学的实践与认识,2012,24(7):163-169.
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3钟立楠,杨渊平.剩余时间增补变量法在可修复系统中的应用[J].黑龙江大学自然科学学报,2012,29(5):623-625. 被引量：1
