The present paper deals with the performance evaluation of an $M/M/1$ retrial queue with collisions, transmission errors and unreliable server. To the best of our knowledge, there are no works that have dealt with retrial queues by considering all the above-mentioned aspects (collisions, transmission errors and unreliable server). This queue can be used as a mathematical model of several computer systems and telecommunication networks. We apply the generating function method to derive the joint distribution of the server state and the orbit length in the steady state, and we obtain some performance measures. Finally, we provide numerical illustrations to show the effectiveness and the applicability of the model.

本文主要探讨了 $\mathrm{中号}/\mathrm{中号}/\mathrm{1个}$冲突，传输错误和服务器不可靠的重试队列。据我们所知，没有考虑到上述所有方面（冲突，传输错误和服务器不可靠）来处理重试队列的作品。该队列可以用作几个计算机系统和电信网络的数学模型。应用生成函数方法推导稳态下服务器状态与轨道长度的联合分布，并获得一些性能指标。最后，我们提供了数值说明来显示该模型的有效性和适用性。