For a GI/G/c queue, a full busy period is a period commencing when an arrival finds c-1 customers in the system and ending when, for the first time after that, a departure leaves behind c-1 customers in the system. The paper shows that given a full busy period is found to be in progress at a random epoch, the remaining full busy period has the equilibrium distribution. Moreover, it demonstrates that this property is typical for a broad class of stationary random processes.
