State Probabilities in Congestion Problems Characterized by Constant Holding Times

Abstract

This paper presents an alternative method for determining the state probabilities in the multiple-channel case with fixed holding times and random arrivals. This method is considerably less mathematically sophisticated than that given in [Polleczek, F. 1934. Math. Zeits. 38 492–537.] and [Crommelin, C. D. 1932. P. O. E. E. J. 25 (1, April).], but it possesses practical advantages from the point of view of simplicity and convenience. Operations Research , ISSN 0030-364X, was published as Journal of the Operations Research Society of America from 1952 to 1955 under ISSN 0096-3984.