BMAP_1、BMAP_2/PH/g，c重结晶体系的研究
On the BMAP_1, BMAP_2/PH/g, c retrial queueing system
摘要：
本文分析了一类具有批马尔可夫到达过程和两类顾客的重试排队系统。根据马尔可夫调制泊松过程调制从轨道的个人重复尝试的速率。利用多维渐近拟Toeplitz马尔可夫链理论，得到了系统稳定性条件和计算定态分布的算法。提出了主要的性能指标。此外，我们还研究了一些最优化问题。详细阐述了确定最优守护服务器数和最优总服务器数的算法。最后，将该系统应用于蜂窝无线网络中。数值结果来说明的最优化问题和性能措施的重试的影响。研究发现，两类顾客的到来和服务模式对服务绩效指标的影响较大，而重试率的影响较小。
英文摘要：
In this paper, we analyze a retrial queueing system with Batch Markovian Arrival Processes and two types of customers. The rate of individual repeated attempts from the orbit is modulated according to a Markov Modulated Poisson Process. Using the theory of multi-dimensional asymptotically quasi-Toeplitz Markov chain, we obtain the stability condition and the algorithm for calculating the stationary state distribution of the system. Main performance measures are presented. Furthermore, we investigate some optimization problems. The algorithm for determining the optimal number of guard servers and total servers is elaborated. Finally, this queueing system is applied to the cellular wireless network. Numerical results to illustrate the optimization problems and the impact of retrial on performance measures are provided. We find that the performance measures are mainly affected by the two types of customers' arrivals and service patterns, but the retrial rate plays a less crucial role.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
