摘要
对多级适应性休假的M/G/1排队系统,若休假时间服从位相型(PH)分布,我们证明了随机分解中的附加队长和附加延迟分别是离散和连续的PH随机变量,并给出其不可约PH表示,作为特例,国内外广泛研究的多重休假和单重休假系统,随机分解中的附加随机变量对PH分布都是封闭的。
For queueing systems M/G/l with adaptive multistage vacations, we prove that if vacation time is PH variable, then the additional delay and the additional queuelengty arising in stochastic delay and additional queuelength arising in stochastic decompoition are also PH varialbes. Furthermore, we present their PH representations. The M/G/l queues with multipe or single vacation is considered is considered as particular cases of this pape.
出处
《应用数学与计算数学学报》
1999年第1期85-90,共6页
Communication on Applied Mathematics and Computation
基金
国家自然科学基金资助项目
