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IPCO
1998
152views Optimization» more  IPCO 1998»
13 years 8 months ago
Approximation Bounds for a General Class of Precedence Constrained Parallel Machine Scheduling Problems
Abstract. A well studied and difficult class of scheduling problems concerns parallel machines and precedence constraints. In order to model more realistic situations, we consider ...
Alix Munier, Maurice Queyranne, Andreas S. Schulz
APPROX
2006
Springer
162views Algorithms» more  APPROX 2006»
13 years 11 months ago
Approximating Precedence-Constrained Single Machine Scheduling by Coloring
Abstract. This paper investigates the relationship between the dimension theory of partial orders and the problem of scheduling precedenceconstrained jobs on a single machine to mi...
Christoph Ambühl, Monaldo Mastrolilli, Ola Sv...
IPCO
2007
98views Optimization» more  IPCO 2007»
13 years 9 months ago
Scheduling with Precedence Constraints of Low Fractional Dimension
Abstract. We consider the single machine scheduling problem to minimize the average weighted completion time under precedence constrains. Improving on the various 2-approximation a...
Christoph Ambühl, Monaldo Mastrolilli, Nikola...
CPAIOR
2007
Springer
14 years 1 months ago
A Column Generation Based Destructive Lower Bound for Resource Constrained Project Scheduling Problems
In this paper we present a destructive lower bound for a number of resource constrained project scheduling (RCPS) problems, which is based on column generation. We first look at t...
J. M. van den Akker, Guido Diepen, J. A. Hoogeveen
ICALP
2011
Springer
12 years 11 months ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli