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fco(ci) indicates the remote cost when ci executes remotely on MES, where ci is the ith components of a single task. The cost function for remote execution fco(ci) can be described as follow.
Where ¥ä3, ¥ä4, ¥ä5 and ¥ä6 are the weighting coefficient by which we can change the contribution and priority of time delay, energy consumption, radio resources, and computational resources in the cost function. We set the sum of all coefficients to be 1. In the delay parameters, dti, dei, dri, and dpi are delays due to transmission, execution, reception, propagation for remote execution of ci, respectively. Eti and Eri are the energy consumption in the energy parameters due to transmission and reception for remote execution of ci, respectively. We multiply (1 – ei-1) with dti and Eti if the previous component ci-1 was executed at MES, where ei is an indicator that means 0 when ci executes locally and 1 when ci executes remotely at MES. It means the next component ci is available at MES and does not need to be retransmitted. Similarly, dpi (2 – ei-1) gives propagation delay only for reception. f2(ri) and f3(ki) give the cost due to used CPU cores and subcarriers, respectively, where ri represents the number of CPU cores used to process ci and ki represents the available subcarriers of ci.
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IEEE/ICACT20220171 Slide.07
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