AN M/M/2 QUEUEING SYSTEM WITH HETEROGENEOUS SERVERS INCLUDING ONE VACATIONING SERVER

摘要

This paper analyzes an M/M/2 queueing system with heterogeneous servers, one of which is always available but the other goes on vacation in the absence of customers waiting for service. The system is analyzed in the steady state using matrix geometric method. Busy period of the system is analyzed and mean waiting time in the stationary regime computed. Conditional stochastic decomposition of stationary queue length is obtained. An illustrative example is also provided.