Scheduling loosely connected task graphs
β Scribed by Abhiram G. Ranade
- Book ID
- 104147718
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 165 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0022-0000
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β¦ Synopsis
We present a polynomial time algorithm for precedence-constrained scheduling problems in which the task graph can be partitioned into large disjoint parts by removing edges with high float, where the float of an edge is defined as the difference between the length of the longest path in the graph and the length of the longest path containing the edge. Our algorithm guarantees schedules within a factor 1:875 of the optimal independent of the number of processors. The best-known factor for this problem and in general is 2 Γ 2 p ; where p is the number of processors, due to Coffman-Graham. Our algorithm is unusual and considerably different from that of Coffman-Graham and other algorithms in the literature.
π SIMILAR VOLUMES
The problem of scheduling a parallel program represented by a weighted directed acyclic graph (DAG) to a set of homogeneous processors for minimizing the completion time of the program has been extensively studied. The NP-completeness of the problem has stimulated researchers to propose a myriad of
Given a parallel program represented by a task graph, the objective of a scheduling algorithm is to minimize the overall execution time of the program by properly assigning the nodes of the graph to the processors. This multiprocessor scheduling problem is NP-complete even with simplifying assumptio