Dynamic task assignment in heterogeneous linear array networks for metacomputing

In a heterogeneous computing system, the tasks of a program must be assigned to the heterogeneous machines so as to utilize the computational capabilities and resources of the system efficiently. This paper deals with a dynamic task assignment problem in heterogeneous computing systems, which permits each task to be relocated from machine to machine during the execution of a program. This problem is known to be NP-complete in the general case. In this paper, we extend the network-flow approach of C.-H. Lee, D. Lee and M. Kim (1992) to dynamic assignment for metacomputing. The dynamic assignment problem for a linear array network is first transformed into the network flow problem, and then solved by applying the Goldberg-Tarjan's (1988) network flow algorithm in time not worse than O(n/sup 2/m/sup 2spl phisup 2/ log nm/spl phi/), where n, m, and /spl phi/ are the numbers of machines, tasks, and phases of program execution, respectively.<
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