We consider the problem of packing two-dimensional rectangles into the minimum number of unit squares, when 90 rotations are allowed. Our main contribution is a polynomial-time al...
We consider a natural resource allocation problem in which we are given a set of items, where each item has a list of pairs associated with it. Each pair is a configuration of an a...
It is well known that the two simple algorithms for the classic bin packing problem, NF and WF both have an approximation ratio of 2. However, WF seems to be a more reasonable alg...
We consider a one dimensional storage system where each container can store a bounded amount of capacity as well as a bounded number of items k ≥ 2. This defines the (standard)...
We follow the work of [7] and study the online bin packing problem, where every item has one of two possible sizes which are known in advance. We focus on the parametric case, whe...