A mathematical model for performability evaluation of heterogeneous multiprocessor systems with reconfiguration and rebooting delays.

Multiprocessor system models are extensively used in modelling transaction processing systems, nodes in communication networks, and flexible machine shops with groups of machines. Processors used in a single system may be identical or non-identical. In the latter case, usually, a faster main processor is used alongside a number of identical processors. Such systems, clearly, are prone to break-downs. Even if cover is provided with some probability c, there will be reconfiguration and/or rebooting delays to resume operation following the break-down of a processor. In this paper, the performance modelling for some heterogeneous multiprocessor systems is presented. For these systems, one main and several identical processors serving the same stream of arriving jobs is considered. To account for delays due to reconfiguration and rebooting, such systems are modelled and solved for exact performability measures for both bounded and unbounded queuing systems