A Traffic Overflow System With A Large Primary Queue

In this paper, a particular traffic overflow system with queueing is analyzed. The same system has been investigated previously where techniques were developed for reducing the dimensions of the system of equations to be solved in order to calculate various steady-state quantities of interest.1'2 This analysis is a considerable improvement over the earlier study for the case when the number of waiting spaces in the primary queue is large compared to the corresponding number * The work of this author was performed during the summer of 1981, while he was a Summer Research Associate at Bell Laboratories, Murray Hill, New Jersey.