A Linear Algebraic Approach In Analyzing the M/GE/1 And GE/M/1 Queuing Systems At Equilibrium

Malaysian Journal of Computer Science

Mohammad Saleh bin Mustafa¹  Abu Talib Othman¹ 

关键词: Queuing systems;    Performance evaluation;    Computer networks;    Linear algebraic approach;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: University of Malaya * Faculty of Computer Science and Information Technology

【 摘 要 】

Uses the algebraic approach in the queuing theory to derive the M/G/1 equilibrium solution for the number of jobs in the system when the probability distribution function representing the general distribution is the generalized exponential (GE-type). Similarly the GE/M/1 system is solved. Furthermore, it has been shown that as expected the solutions are equivalent to the maximum entropy solutions of the M/G/1 and G/M/1 systems respectively at equilibrium.

【 授权许可】

Unknown