A computer-automated system orders a list of elements according to multiple criteria. Each element in a data set may have any number of attributes. Attributes may have corresponding weights which differ from each other. The system orders the elements based on the weight of the attributes and the attributes associated the elements. In particular, the system may combine the weights of all attributes associated with a particular element to produce a combined weight for the element. The system may tend to place elements having relatively high combined weights closer to the beginning of the list than elements having relatively low combined weights. The system may be used in a variety of applications, such as coordinating the schedules of multiple workers in a hospital or other workplace, based on multiple needs of the workplace and multiple preferences of the workers.