Broadcast Propagation Time in SpaceFibre Networks with Various Types of Spatial Redundancy

Various methods of spatial redundancy can be used in local networks based on the SpaceFibre standard for fault mitigation of network hardware and physical communication channels. Usually, a network developer chooses the method of spatial redundancy according to the number of failures that have to be mitigated, the time required for restoring the normal operation of the network, required overheads and hardware costs. The use of different spatial redundancy mechanisms can cause changes in the structure of the links between network nodes, in case of failure and subsequent mitigation. In turn, this may cause changes in the broadcast transmission paths and the temporal characteristics of their delivery from the source to the receivers. This article focuses on the change in the propagation time of broadcasts in SpaceFibre networks with spatial redundancy. Broadcast propagation rules significantly differ from data-packet propagation rules. Broadcast distribution time is very important for many applications, because broadcasts are generally used to send urgent messages, in particular for time synchronization. Various formal methods have been used to evaluate the propagation characteristics of the broadcast. A method for estimating broadcast propagation time along the shortest routes is proposed. In addition, we provide a formal method to estimate the number of failures, which occurred in the network during the broadcast propagation. This method is based on timed Petri nets; one of its features is the ability to calculate broadcast transmission delays. In addition, as an alternative solution, we propose a method for estimating delays based on time automata theory.