
doi: 10.1137/0208031
We show that unit execution time jobs subject to a precedence constraint whose complement is chordal can be scheduled in linear time on m processors. Generalizations to arbitrary execution times are NP-complete.
interval orders, Analysis of algorithms and problem complexity, arbitrary length tasks, chordal graphs, scheduling unit length tasks, polynomial in time algorithms, incomparability graph, Performance evaluation, queueing, and scheduling in the context of computer systems, NP- completeness
interval orders, Analysis of algorithms and problem complexity, arbitrary length tasks, chordal graphs, scheduling unit length tasks, polynomial in time algorithms, incomparability graph, Performance evaluation, queueing, and scheduling in the context of computer systems, NP- completeness
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