Heuristic solution for optimal hysteretic policy in a queue with a reserve unreliable service facility

Description

We study a Markovian queueing system supplied with main and reserve unre- liable service facility. Usage of the reserve facility 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 pro- cess of type quasi-birth-and-death (QBD). For the cost structure we provide a heuristic solution for the optimal hysteretic control policy prescribing the activation of a reserve service facility with the aim to minimize the long-run average cost per unit of time. Numerical examples illustrate the efficiency of the theoretical results.

Period	05 Jun 2019
Event title	11th International Conference on Mathematical Models in Reliability
Event type	Conference
Location	Hong KongShow on map