I. Introduction
Fixed-order event sequence is a type of sequence data that exists in various scenarios, such as industrial logs of products in assembly lines [1], [2], [3], [4], [5], traveling records of vehicles in public transportation [6], [7], [8], [9], cascading effects of disaster [10], and biological process like apoptosis [11]. In these event sequences, the order of events is predefined and usually remains consistent in each sequence. This stands different from sequences where events occur in an unpredictable order [12], [13], [14], [15], [16], [17]. To illustrate, consider a scenario of manufacturing a particular product within an industrial workflow. Each stage in this process can be considered as an event that needs to be carried out in a predefined order to complete the manufacturing. In this context, the production process of an individual product is a fixed-order event sequence. Despite the fixed order, the identical steps in different sequences happen at different timestamps and last for different durations. Visualizing such event sequences can provide valuable insights into understanding, troubleshooting, and optimizing production processes.