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Solutions to Parallel and Distributed Computing Problems: Lessons from Biological Sciences
book

Solutions to Parallel and Distributed Computing Problems: Lessons from Biological Sciences

by Albert Y. Zomaya, Fikret Ercal, Stephan Olariu
October 2000
Intermediate to advanced
288 pages
9h 22m
English
Wiley-Interscience
Content preview from Solutions to Parallel and Distributed Computing Problems: Lessons from Biological Sciences

8.5 TASK MAPPING WITH GENETIC ALGORITHMS

The quality of the suboptimal solution obtained using GAs depends a great deal on the form of the fitness function employed, and the type and rate of genetic operators. In addition, GAs can differ in chromosome representation. Three PGA-based techniques for solving the TMP are presented in this chapter. All three methods are based on the decomposition approach. In all of them, the task graph is assumed static. In other words, there is no dynamic process creation and all known communication latencies between processes remain unchanged for the lifetime of the application. GA implementations can also differ in the chromosome representation, the fitness function selected, and in the genetic operators and operator rates used. Therefore, these issues will be considered in presenting the alternative GA task-mapping methods.

8.5.1 Notation

The following notation is used in the rest of this chapter:

M The number of tasks to be mapped
N The number of processors in the target architecture
W(p) The total weight of all tasks assigned to processor p
images The ideal computational load for each processor, which is also the average weight among all processors
dij The distance between processors i and j
exy The edge weight between a task tx in processor i and a task ty in processor j
cij = dij Σx Σy exy The communication cost between processors
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