在多重休假M/M/1排队系统驱动的流模型的基础上引入了带有队尾抵消策略的负顾客,通过拟生灭过程和矩阵几何解法得到了驱动过程队长的稳态分布,建立并分析流模型,得到了流模型稳态联合分布函数所满足的微分方程组;引入分布函数的Laplace变换(LT)和Laplace—Stieltjes变换(LST),在微分方程组的基础上得到了稳态库存量的分布函数的Laplace变换结构;基于LT变换和LST变换的关系及其临界条件,进一步得到了平稳库存量的LST、均值及空库概率的简洁表达式.
Baced on the fluid model driven by an M/M/1 queue with multiple vacations, this paper introduce the negative customer with RCE(Removal of Customers in the End) offset policy, by quisi birth- and-death processes and matrix-geometric solution, the differential equations satisfied by the stationary joint distribution of the buffer content is obtained. By introducing the Laplace Transform(LT) and Laplace-stieljes Transfom(LST) of distribution function, the ,;tructure of the buffer content is obtained. Furthermore, the brief expression of LST and mean of the buffer content on the basis of relationship between LT and LST as well as the normalization condition of the LST are given.