ANALYSIS OF AN N DUPLICATE-SERVER SYSTEM

N개의 이중 서어버를 가진 시스팀의 해석

We consider an N duplicate-server system, where each server consists of two reconfigurable duplicated units which are subject to breakdowns. This system is studied analytically using generating functions, and also numerically using the matrix-geometric procedure. Using the generating function approach we obtain a recursive expression of the queuelength distribution for N=1. This expression in difficult to generalize to N>1. The numerical method is applicable for any value of N. For any N, we also obtain the condition for stability and the availability of the system.