 The sustainable supplier selection and order allocation problem is considered.  The issues in establishing long-term buyer-supplier relationships are addressed.  A multi-agent system approach is proposed to address the identified gap.  The applicability of the approach is tested by a real-world case application.

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We report on our findings using a genetic algorithm (GA) as a preprocessing step for force-directed graph drawings to find a smart initial vertex layout (instead of a random initial layout) to decrease the number of edge crossings in the graph. We demonstrate that the initial layouts found by our GA improve the chances of finding better results in terms of the number of edge crossings, especially for sparse graphs and star-shaped graphs. In particular we demonstrate a reduction in edge-crossings for the class of star-shaped graphs by using our GA over random vertex placement in the order of 3:1.

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