Level product form QSF processes and an analysis of queues with Coxian interarrival distribution
研究一类准无跳跃过程，其平稳分布具有水平乘积形式，并应用于分析具有Coxian到达间隔的队列，推导了平均队长、平均逗留时间和方差的单调性。
Abstract In this article, we study a class of Quasi‐Skipfree (QSF) processes where the transition rate submatrices in the skipfree direction have a column times row structure. Under homogeneity and irreducibility assumptions we show that the stationary distributions of these processes have a product form as a function of the level. For an application, we will discuss the ‐queue that can be modeled as a QSF process on a two‐dimensional state space. In addition, we study the properties of the stationary distribution and derive monotonicity of the mean number of the customers in the queue, their mean sojourn time and the variance as a function of for fixed mean arrival rate. © 2016 Wiley Periodicals, Inc. Naval Research Logisticsxs 66:57–72, 2019