Near-optimal solutions and large integrality gaps for almost all instances of single-machine precedence-constrained scheduling

We consider the problem of minimizing the weighted sum of completion times on a single machine subject to bipartite precedence constraints in which all minimal jobs have unit processing time and zero weight, and all maximal jobs have zero processing time and unit weight. For various probability dist...

Full description

Bibliographic Details
Main Authors: Uhan, Nelson A., Schulz, Andreas S
Other Authors: Massachusetts Institute of Technology. Operations Research Center
Format: Article
Language:en_US
Published: INFORMS 2011
Online Access:http://hdl.handle.net/1721.1/67660
https://orcid.org/0000-0002-9595-459X