Abstract
In this paper, we investigate the time-dependent behavior of a two-processor heterogeneous system where the arrival and service rates are allowed to vary with time. We derive an integral equation where the time-dependent probabilities of the two-processor heterogeneous system are expressed in terms of a Volterra equation of the second kind. The effectiveness of our procedure is illustrated with some numerical examples. Finally, a brief comparison is given to show the efficiency and accuracy of the proposed method. (C) 2017 Elsevier Inc. All rights reserved.