Metrics for Solution Variety
نویسنده
چکیده
The word “optimization” is cropping up in a wide variety of settings, especially advertisements for decision support and enterprise resources planning software. The problems being addressed are extremely complex and consequently the models being optimized can be at best an approximation of the goals of the organization and its shareholders. In such an environment, a decision maker would often be more interested in seeing a diverse collection of good solutions rather than the one solution that is in some mathematical sense the optimal solution to an approximate problem with imprecise data. However, very little research as been done on methods to characterize solution diversity. For example, if the decision maker has been shown a few solutions and there are a few more good solutions that could be shown, the next solution to be displayed must be selected based on some criteria. The solution with the best objective function may well be extremely similar to one that has already been displayed and hence would waste the time of the decisions maker. It would be better to find a solution that would diversify the set that has been displayed.
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