A spectral approach to compute the mean performance measures of the queue with low-order BMAP input

作     者：Lee, Ho Woo Moon, Jong Min Park, Jong Keun Kim, Byung Kyu 

作者机构：Sung Kyun Kwan University Dept. of Systems Management Engineering Su Won 440-746 South Korea SE Application Prog. Info Tech. Group Division LG CNS Good Morning Bldg. Seoul 150-712 Yeo Eui Do South Korea I/O System Team Computer System Department Computer and Software Research Laboratory Dae Jon 305-350 South Korea Itsweb CRM Team R and D Center 789-4 Young Bldg. Seoul 135-080 Yok Sam Dong Kang Nam South Korea 

出 版 物：《Journal of Applied Mathematics and Stochastic Analysis》 (J. Appl. Math. Stoch. Anal.)

年 卷 期：1997年第16卷第4期

页      面：349-360页

主　　题：BMAP/G/1 Queue Spectral Approach 

摘      要：This paper targets engineers and practitioners who want a simple procedure to compute the mean performance measures of the Batch Markovian Arrival process (BMAP/G/1) queueing system when the parameter matrices order is very low. We develop a set of system equations and derive the vector generating function of the queue length. Starting from the generating function, we propose a spectral approach that can be understandable to those who have basic knowledge of M/G/1 queues and eigenvalue algebra. ©2003 by North Atlantic Science Publishing Company.