Multi-objective optimization aided to allocation of vertices in aesthetic drawings of special graphs

A problem of drawing specific graphs is considered emphasizing aesthetic appeal of the visualization. We focus on graphs related to the management of business processes. A particular problem of the aesthetic drawing is considered where the aesthetic allocation of vertices is aimed. The problem is stated as a problem of bi-objective optimization where the objectives are the length of connectors and the compatibility of the sequence flows with the favorable top-down, left-right direction. An algorithm based on the branch-and-bound approach is proposed

On the multi-objective optimization aided drawing of connectors for graphs related to business process management

A problem of drawing aesthetically looking graphs is considered. We focus on graphs related to management of business processes. Vertices of a graph are visualized as rectangles (flow objects), and edges are visualized as rectangular connectors (sequence flow). A particular problem of aesthetic drawing is considered where location of vertices is fixed, and the lines representing the edges should be drawn. The latter problem is restated as a graphs oriented multi-objective combinatorial optimization problem. The generally recognized criteria of aesthetic presentation, such as the general length of lines, the number of crossings, and the number of bends, are considered as the objectives to be minimized. The attitude of the potential users of the supposed algorithms towards the relative importance of the considered criteria is elicited by a psychological experiment. The elicited information is used in the development of domain-specific multi-objective optimization algorithms. We propose for that problem a version of the metaheuristics of ant colony optimization. The efficiency is evaluated experimentally using randomized test problems of different complexityTaikomosios informatikos katedraVilniaus universitetasVytauto Didžiojo universiteta