Boundary value for data gathering time in distributed control systems with sporadic accidents

We consider a distributed WSNs with event-based reporting. A data gathering time is an important attribute for such systems. Due to that fact, a lot of media access protocols have been designed to meet special demands of particular applied application. To analyze and compare the variety of protocols the lower bound of data gathering time is required. In the paper we propose a special technique to determine a boundary value for mean data gathering time. The obtained general result takes into account an information on operating conditions of the system and system algorithms as well. We also derive some exact expressions for the particular most used models.