“…In [20,18,19], the conflict detection is based on a Spatial Data Structure (SDS), avoiding non-efficient pairwise trajectory comparisons, and using a simplified wake vortex modeling through 4D tubes to detect time-based separation infringements between aircraft. Here, in our research, a snapshot mode is applied to dynamically capture the arrival flows over time, a Multi-Map Structure (MMS), also named multi-hash, which is a generalization of a map or associative array abstract data type in which more than one value may be associated with and returned for a given key, is used to store the 4D trajectories information with multiple events for the conflict detection problem † , see Figure 5.…”