  Recently multiserver queues with setup times have been extensively studied
because they have applications in power-saving data centers. The most
challenging model is the M/M/$c$/Setup queue where a server is turned off when
it is idle and is turned on if there are some waiting jobs. Recently, Gandhi et
al.~(SIGMETRICS 2013, QUESTA 2014) present the recursive renewal reward
approach as a new mathematical tool to analyze the model. In this paper, we
derive exact solutions for the same model using two alternative methodologies:
generating function approach and matrix analytic method. The former yields
several theoretical insights into the systems while the latter provides an
exact recursive algorithm to calculate the joint stationary distribution and
then some performance measures so as to give new application insights.
