One embodiment is directed to a method of optimally packing items into at least one resource. The method includes receiving at least one of items, resources, and parameters, and setting up a set partitioning mixed integer programming (MIP) using the received items, resources, and parameters. The method further includes solving liner programming (LP) relaxation of the MIP, generating new packings, and checking whether new packings have been generated. When no new packings have been generated, solving the final MIP and creating a model of at least one resource packed according to the final MIP.