The prolonged service time at non-dedicated servers has been observed in [1]. Motivated by such real problems, we propose a stylized model which characterizes the feature of the prolonged service time at non-dedicated servers in an asymmetric system. We study the independent system, the full flexibility system and the partial flexibility system when the occupation rate of the system, the degree of the prolonged service time and the degree of the asymmetry are allowed to change. We show that under certain circumstances, the partial flexibility scheme outperforms the full flexibility system and the independent system in such a model. Our results also provide instructions on how to introduce flexibility when the service time at non-dedicated servers is prolonged in an asymmetric system.

翻译：[1] 在非专用服务器上的长期服务时间在[1]中已经观察到[1]。出于这种实际问题的考虑,我们提出了一个标准化模式,其特点是非专用服务器在不对称系统中的长期服务时间的特点;当允许系统占用率、长期服务时间和不对称程度发生变化时,我们研究独立系统、全面灵活系统和部分灵活系统;我们表明,在某些情况下,部分灵活计划优于完全灵活系统和这种模式中的独立系统;我们的结果还就如何在非专用服务器服务时间在不对称系统中被延长时引入灵活性提供指导。