On Sojourn Time of M/G/1 Queueing System with Fixed Times of Feedback

doi:10.13190/jbupt.200506.61.261

JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM ›› 2005, Vol. 28 ›› Issue (6): 61-64.doi: 10.13190/jbupt.200506.61.261

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On Sojourn Time of M/G/1 Queueing System with Fixed Times of Feedback

ZHANG Qizhi1,2 ,LIAO Jianxin1,XU Tong1

1State Key Laboratory of Networking and Switching, Beijing University of Posts and Telecommunications, Beijing 100876, China; 2School of Computer, South China Normal University, Guangzhou 510631, China

Online:2005-12-28 Published:2005-12-28

Abstract

Abstract:

The M/G/1 queueing system with fixed times of feedbacks was expanded to a genera lized situation, i.e., every customer accepted total m times of services, and the distribution function of every service time was different from each other. A customer on hisith service was regarded as a classCicustomer. The Laplace Stieltjes Transform of the total sojourn time of a customer defined as the duration from the customer arrival until the departure from the system was presented. Therefore, a useful tool is provided for modeling analysis of communication systems.

Key words: M/G/1 queueing system, feedback, sojourn time, Laplace Stieltjes transform

CLC Number:

TN91501

ZHANG Qizhi1,2 ,LIAO Jianxin1,XU Tong1. On Sojourn Time of M/G/1 Queueing System with Fixed Times of Feedback[J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2005, 28(6): 61-64.

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On Sojourn Time of M/G/1 Queueing System with Fixed Times of Feedback

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