Scheduling precedence constrained jobs on identical parallel machines is a well investigated problem with many applications. AND/OR-networks constitute a useful generalization of standard precedence constraints where certain jobs can be executed as soon as at least one of their direct predecessors is completed. For the problem of scheduling AND/OR-networks on parallel machines, we present a 2-approximation algorithm for the objective of minimizing the make-span. The main idea of the algorithm is to transform the AND/OR constraints into standard constraints. For the objective of minimizing the total weighted completion time on one machine, scheduling AND/OR-networks is as hard to approximate as LABEL COVER. We show that list scheduling with shortest processing time rule is an O(√n)-approximation for unit weights on one machine and an n-approximation for arbitrary weights. © Springer-Verlag 2004.
CITATION STYLE
Erlebach, T., Kääb, V., & Möhring, R. H. (2004). Scheduling AND/OR-networks on identical parallel machines. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2909, 123–136. https://doi.org/10.1007/978-3-540-24592-6_10
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