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The distributed environments constitute a major option for the future development of high-performance computing. In order to be able to efficiently execute parallel applications on such systems, one should ensure a fair utilization of the available resources. Here, we address a number of aspects regarding the generalization of the diffusion algorithms for the case when the processors have different relative speeds and the communication parameters have different values. Although some work hasdoi:10.1016/j.jpdc.2004.02.001 fatcat:zi7u7iadm5ajflst2bcln4euue