The M/M/c Retrial Queueing System with Impatient Customers and Server Working Breakdown.

This paper analyzes the M/M/c queueing system with server working breakdown and impatient customers under the classical truncated retry strategy. The steady-state equilibrium conditions of the system are obtained using the matrixgeometric solution method. Then the steady-state probabilities and the performance indicators of the system in the steadystate case are obtained using the Markov process theory and Gauss-Seidel iterative algorithm. Numerical experiments are conducted to assess the system’s steady-state performance indicators. Finally, we developed an optimization model for the system and derived the optimal parameters from the analysis of the optimization function. [ABSTRACT FROM AUTHOR]