This paper concerns the cost optimisation analysis of a discrete-time finite-capacity multiserver queueing system with Bernoulli feedback, synchronous multiple and single working vacations, balking, and reneging during both busy and working vacation periods. A reneged customer can be retained in the system by employing certain persuasive mechanism for completion of service. Using recursive method, the explicit expressions for the stationary state probabilities are obtained. Various system performance measures are presented. Further, a cost model is formulated. Then, the optimization of the model is carried out using quadratic fit search method (QFSM). Finally, the impact of various system parameters on the performance measures of the queueing system is shown numerically.

中文翻译：

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在同步工作休假和急躁的客户下，针对Geo / Geo / c / N反馈队列的最佳成本分析

本文涉及离散时间有限容量多服务器排队系统的成本优化分析，该系统具有伯努利反馈，同步的多个和单个工作休假，停工以及在繁忙和工作休假期间的退位。通过使用某些说服机制来完成服务，可以在系统中留住老客户。使用递归方法，获得了稳态概率的显式表达式。介绍了各种系统性能指标。此外，制定了成本模型。然后，使用二次拟合搜索方法（QFSM）进行模型的优化。最后，以数字方式显示了各种系统参数对排队系统性能指标的影响。