I am working on an engineering problem. I need to implement an algorithm that looks like a certain variant of bin packing. Specifically, in this variant of the bin packing, the size of a certain item i to be packed in bin j is a function of already packed items in the bin j. Does that variant of the bin packing exist/studied in the literature already? its name? Otherwise do you think that this problem better fits another well known algorithm studied in the literature.
Thank you.