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Note that the spectrum efficiencies achieved by solving the original MINLP problem and proposed approach are very close.
Fig. 7 Comparison of spectral efficiencies achieved by solving the original MINLP and solving our proposed linearized formulation for an operator with four twoo DC users and two NDC users) users and eight subchannels.
Table 4 summarizes the result of comparing maximum utility gained by solving the original version of the optimal slot allocation problem described by (15) through (18) and referred to as static-FAA with dynamic-FAA, which is outlined in Algorithm 1.
With the method of characteristics, the pdf can be computed along trajectories of the system by solving the original ODE with an additional dimension for the density.
The PDE (3) can thus be solved pointwise for each x0 by solving the original ODE (1) together with an extra dimension for the density ρ, i.e., (6) x ˙ = F (x ) ρ ˙ = − div F (x ) ⋅ ρ, with initial conditions x 0) = x0 and ρ(0) = u0 x0).
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Friends of the Earth chief executive Craig Bennett said: "This is not solving the original problem which was caused by the international horticulture trade.
Directly solving the Original optimization using LINGO.
It is an effective way to obtain the solution of the original problem by solving the dual problem, where the dual decomposition method is suggested as in [24].
Then image reconstruction in FMT can be accelerated by solving the smaller scale inverse problem rather than the original one.
An approximation of the original signal can be obtained by solving the modified problem: (4).
Since the original optimization is convex and strong duality holds, the solution of the underlying optimization problem can be obtained by solving the corresponding dual problem (13a).
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by solving the first
by retaining the original
by solving the above
by contacting the original
by solving the cryptographic
by solving the new
by reviewing the original
by dividing the original
by solving the fixed-point
by solving the eigenvalue
by solving the reduced
by solving the representative
by solving the differential
by solving the nonlinear
by solving the dual
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