The problem of on-line bin packing restricted to instances with only two item sizes (known in advance) has a well-known lower bound of 4/3 for its asymptotic competitive ratio. We...
Abstract. In order to verify and test the performance of new packing algorithms relative to existing algorithms, test problems are needed. The scope of published test instances for...
Given a set Q of squares with positive pro ts, the square packing problem is to select and pack a subset of squares of maximum pro t into a rectangular bin R. We present a polynomi...
We present an asymptotic fully polynomial time approximation scheme for two-dimensional strip packing with rotations. In this problem, a set of rectangles need to be packed into a...
We introduce a new problem that was motivated by a (more complicated) problem arising in a robotized assembly environment. The bin coloring problem is to pack unit size colored it...