Analysis of Overflow Traffic from Mixed Delay and Non-delay Systems

Zhisheng NIU  Haruo AKIMARU  Masaaki KATAYAMA  

IEICE TRANSACTIONS (1976-1990)   Vol.E73   No.9   pp.1503-1510
Publication Date: 1990/09/25
Online ISSN: 
Print ISSN: 0000-0000
Type of Manuscript: PAPER
Category: Communication Networks and Services

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In recent communications systems, various kinds of traffic are transmitted all together. The mixed delay and non-delay system, which integrates loss-sensitive delay (data) traffic and delay-sensitive realtime (voice) traffic, is a typical example of these systems. In the mixed delay and non-delay systems, the non-delay traffic generally suffers loss with a relatively large probability due to the existence of the delay traffic. In order to improve the GOS (Grade of Service) of the non-delay traffic and to increase the efficiency of the overall systems, the alternative routing scheme is introduced. In design of the alternative routing systems, analysis of overflow traffic essential. This paper focuses on the moments of the number of the overflow calls from the mixed delay and non-delay systems with Poisson inputs and exponential service times. In the case of same mean service time, explicit formulas are presented for the moments, whereas a recursion formula and its calculating algorithm are derived in the case of different mean service times. Through the numerical results, a limiting property of the moments is discussed. An example is given to show the application of the obtained formulas.