Functional large deviations for Cox processes and $\mathit{Cox}/G/\infty$ queues, with a biological application
Functional large deviations for Cox processes and $\mathit{Cox}/G/\infty$ queues, with a biological application
We consider an infinite-server queue into which customers arrive according to a Cox process and have independent service times with a general distribution. We prove a functional large deviations principle for the equilibrium queue length process. The model is motivated by a linear feed-forward gene regulatory network, in which the …