In Fig. 5 and Fig. 6, the energy and the delay are respectively
shown for different weighting factors ω. The optimal
solution given in these figures, is generated from (15). The
energy is obtained using the Newton-Raphson method applying
the optimal weighting factor ω∗. The optimization results from
[12] and MOPT with ω = 0.5 is presented. Fig. 5 shows the energy consumption versus ω. The results related to the energy show how the energy consumption, under each ω, affects the performance. It is evident that MOGA achieves 40% saving in the energy consumption compared to that of the HGR algorithm at ω close to one. MOGA is getting two times savings compared to HGR at ω equals to half. Fig. 5 results are significantly lower for various ω not only for the optimal solution, but also for a sub-optimal solution obtained by MOGA than HGR [7].