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» A Supermodular Relaxation for Scheduling with Release Dates
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IPCO
1996
102views Optimization» more  IPCO 1996»
13 years 5 months ago
A Supermodular Relaxation for Scheduling with Release Dates
We consider the schedulingproblem ofminimizinga weighted sum of completion times under release dates. We present a relaxation which is a supermodular polyhedron. We show that this ...
Michel X. Goemans
JCO
1998
80views more  JCO 1998»
13 years 4 months ago
Improved Bounds on Relaxations of a Parallel Machine Scheduling Problem
We consider the problem of scheduling n jobs with release dates on m identical parallel machines to minimize the average completion time of the jobs. We prove that the ratio of the...
Cynthia A. Phillips, Andreas S. Schulz, David B. S...
CP
2005
Springer
13 years 10 months ago
Planning and Scheduling to Minimize Tardiness
We combine mixed integer linear programming (MILP) and constraint programming (CP) to minimize tardiness in planning and scheduling. Tasks are allocated to facilities using MILP an...
John N. Hooker
CONSTRAINTS
2006
99views more  CONSTRAINTS 2006»
13 years 4 months ago
An Integrated Method for Planning and Scheduling to Minimize Tardiness
We combine mixed integer linear programming (MILP) and constraint programming (CP) to minimize tardiness in planning and scheduling. Tasks are allocated to facilities using MILP an...
John N. Hooker
SIAMDM
2002
124views more  SIAMDM 2002»
13 years 4 months ago
Scheduling Unrelated Machines by Randomized Rounding
We present a new class of randomized approximation algorithms for unrelated parallel machine scheduling problems with the average weighted completion time objective. The key idea i...
Andreas S. Schulz, Martin Skutella