A polynomial-time algorithm for allocating independent tasks on heterogeneous fork-graphs
Résumé
In this paper, we consider the problem of allocating a large number of independent, equal-sized tasks to a heterogeneous processor farm. The master processor and the p slaves have different computation and communication capabilities. We assume communication-computation overlap for each slave (and for the master), but the communication medium is exclusive: the master can only communicate with a single slave at each time-step. We give a polynomial-time algorithm to solve the following scheduling problem: given a time-bound T, what is the maximal number of tasks that can be processed by the master and the p slaves within T time-units?.