On Network Maintenance Problem. Open Markovian Queuing System with Bifurcation of Arrivals

摘要

In the present paper a multi-component redundant system with unreliable, repairable units is considered. Two types of maintenance operations are performed in the system: 1) the replacement of the failed main unit by the redundant one; 2) the repair of the failed unit. The numbers of redundant units, replacement and repair facilities in the system are arbitrary. The open exponential queuing model for the system dependability and performability analysis is constructed in the form of infinite system of ordinary linear differential equations. In steady state, it is reduced to the infinite system of linear algebraic equations. At present the system is still being investigated.