Abstract
• We study a two-processor heterogeneous system. • We derived the time dependent solution of proposed system. • We present some numerical examples to illustrate the behavior of system. 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.
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