Equilibrium arrival times to queues with general service times and non-linear utility functions.

•We examine the strategic choice of arrival times by individual customers to a queue.•Customers have non-linear utility functions and general service times.•We present a constructive procedure for finding a symmetric arrival time equilibrium.•We prove that there exists one, and only one, symmetric arrival time equilibrium.•We numerically compute the symmetric equilibrium for a non-linear utility function.