Polynomiality for Bin Packing with a Constant Number of Item Types

We consider the bin packing problem with d different item sizes si and item multiplicities ai, where all numbers are given in binary encoding. This problem formulation is also known as the 1-dimensional cutting stock problem. In this work, we provide an algorithm which, for constant d, solves bin...

Full description

Bibliographic Details
Main Authors: Goemans, Michel X., Rothvoss, Thomas
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Society for Industrial and Applied Mathematics 2015
Online Access:http://hdl.handle.net/1721.1/92865
https://orcid.org/0000-0002-0520-1165