Patent Document ID: 8234138
Application ID: 12574898
Patent Status: 1

Claim One:
1. A system for identifying print devices having a utilization within a utilization band, the system comprising: a processor; and a non-transitory processor-readable memory in operable communication with the processor, wherein the non-transitory processor-readable memory comprises one or more programming instructions for performing the following: receiving a selection for a utilization band comprising a minimum utilization and a maximum utilization, receiving print device information for each of a plurality of accounts, wherein the print device information for each account comprises a print device model and utilization information for each print device associated with the account, for each print device, determining a utilization based on the utilization information, for each print device model in each account, determining a number of print devices in the account having the print device model and for which the utilization is in the utilization band, wherein each combination of print device model and account comprises a print device model-account pair, identifying a plurality of clusters for the print device model-account pairs by: for each of a plurality of numbers of clusters: determining a probability that each print device model-account pair occurs, determining a maximum log likelihood value equal to a sum, over all print device model-account pairs, of a product of the number of print devices in a print device model-account pair having the print device model and for which the utilization is in the utilization band and the log of the probability that the print device model-account pair occurs, and determining a penalized likelihood value based on at least the number of clusters and the maximum log likelihood value for the number of clusters, and selecting a number of clusters from the plurality of numbers of clusters corresponding to the smallest penalized likelihood value, and assigning at least one print device model-account pair to a cluster.