In this paper a Markovian queueing system supplied with
main and reserve unreliable service facility which we refer to as pools is
introduced. Usage of the reserve pool is controlled by a hysteretic policy
that depends on upper and lower threshold levels of queue length
to increase and decrease the total service rate. The system is analysed
as a process of type quasi-birth-and-death (QBD), and expressions for
the stationary state probabilities are derived. For the cost structure we
evaluate the long-run average cost per unit of time and determine the
optimal hysteretic policy by implementing genetic algorithm. The sensitivity
analysis to study the effect of system parameters and threshold
levels on the average cost is provided by a number of numerical examples.