Deadlock Detection Scheduling for Distributed Processes in the Presence of System Failures

The occurrence of deadlocks should be controlled effectively by their detection and resolution, but may sometimes lead to a serious system failure. This fact implies that deadlock detection scheduling should be designed from the view points of not only the performance trade-off between overall message usage and deadlock persistence time but also the prevention of the system failure. In this paper, we reformulate the Ling et al.´s deadlock detection scheduling problem (2006) in the presence of system failures, and derive the optimal deadlock detection time minimizing the long-run average cost per unit time. By introducing the message complexities of the deadlock detection and resolution algorithms being used, we investigate the asymptotically optimal frequency of deadlock detection scheduling in terms of the number of distributed processes through the wellknown Landau notation.