摘要
考虑带休假延迟和启动时间的N策略Geom/Geom/1多重休假排队模型,运用QBD过程和矩阵几何解工具,给出模型中稳态队长分布的表达式,得到一系列排队性能指标,并进一步证明了排队主要指标的条件随机分解结构。
This paper considers a queue of Geom/Geom/1 model with delayed vacation,setup time,N-policy and multiple vacation.By applying quasi birth death process and matrix-geometric solution method,the analytic expression of the stationary queue length are obtained.Meanwhile,expressions for some important performance measures are derived.Moreover,the conditional stochastic decomposition structures of the queue length and waiting time are proved.
作者
张杰
高珊
王先超
ZHANG Jie;GAO Shan;WANG Xianchao(School of Mathematics and Statistics,Fuyang Normal University,Fuyang Anhui 236037,China;School of Computer and Information Engineering,Fuyang Normal University,Fuyang Anhui 236037,China)
出处
《阜阳师范学院学报（自然科学版）》
2019年第1期1-5,共5页
Journal of Fuyang Normal University(Natural Science)
基金
国家自然科学基金面上项目(61672006)
安徽省高校自然科学研究重点项目(KJ2017A340)
阜阳师范学院自然科学研究项目(2017FSKJ12)
阜阳师范学院科研团队项目(XDHXTD201703
XDHXTD201709)资助
