Optimal Parallel Algorithms for Two Processor Scheduling with Tree Precedence Constraints

Document type:: Technical Report
Author(s):: Ernst W. Mayr; Hans Stadtherr
Title:: Optimal Parallel Algorithms for Two Processor Scheduling with Tree Precedence Constraints
Abstract:: Consider the problem of finding a minimum length schedule for an unit execution time tasks on m processors with tree-like precedence constraints. A sequential algorithm can solve this problem in linear time. The fastest known parallel algorithm needs O(log n) time using n^2 processors. For the case m=2 we present two work optimal parallel algorithms that produce greedy optimal schedules for intrees and outtrees. Both run in O(log n) time using n/(log n) processors of an EREW PRAM.
Keywords:: parallel algorithms; scheduling; tree precedence constraints; optimal work
Year:: 1995
Year / month:: 1995-11-08 00:00:00
Pages:: 26
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