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A heuristic for scheduling task graphs with communication delays onto multiprocessors
PARALLEL
COMPUTING
Parallel Computing 22(1996) 1197-1214
A heuristic for scheduling task graphs with
communication delays onto multiprocessors
Goran Lj. Djordjevi6 *, Milorad B. To%
Faculty of Electronic Engineering, University of NiZ, Beogradsko 14, P.O. Box 73,18W NC’, Serbia,
Yugoslavia
Received 15 April 1995; revised 25 June 1996
Abstract
The multiprocessor scheduling problem can be stated as finding a schedule for a task graph to
be executed on a multiprocessor architecture so that the execution time can be minimized. Since
this problem is known to be NP-hard, in all but a few very restricted cases, the main research
efforts in this area are focused on heuristic methods for obtaining ,near-optimal solutions in a
reasonable amount of time. A new compile-time single-pass multiprocessor scheduling technique,
called chaining, has been developed and is presented in this paper. Chaining takes into account
the communication overhead and can be applied to scheduling task graphs onto fully-connected
multiprocessor architectures containing an arbitrary (bounded as well as an unbounded) number of
processors. This technique can be viewed as a generalized list scheduling concept, that does not
impose any preconditions about the ordering in which tasks are selected for scheduling as well as
about the position within the current partial schedule where selected task can be placed. Varying
the selection policy, implemented in this technique, we are able to generate a class of scheduling
algorithms. As a representative example of this class we present Task Selection First (TSF)
scheduler. We compare performances of the TSF scheduler with the dynamic level scheduler
proposed by Sih and Lee, the dominant sequence clustering algorithm proposed by Yang and
Gerasoulis, and the DSC/MLS algorithm, a modified version of Sarkar’s two-step scheduling
technique.
Keywords: Multiprocessor scheduling; Task graph; Interprocessor communication; Chaining; List scheduli
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