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LSMN/L estimate C/VFAs that yield equally accurate (near optimal) and precise lower and dual (upper) bounds on the value of these real options.
That is, Algorithm 1 for the dual upper bound finds a solution as long as the primal problem is feasible.
The dual feasible algorithm gives a lower bound within 0.25%% of the dual upper bound while the weight adjustment solutions difference can be almost 10%%.
With these values, it is no longer possible to use the primal enumeration method and we compute the gap relative to the dual upper bound.
We present in Table 1 the average gap in percent between the three methods used to find feasible solutions against the dual upper bound for a small system.
For an attenuation of 15 dB, neither method is able to find a feasible solution; the problem is feasible because the dual upper bound is around 140, but the algorithms cannot find a solution.
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Table 1 Average performance gap against the dual optimal upper bound for small system configuration Method Minimum rate (bps/Hz) 13.33 16.66 20 Dual-based upper bound (bps/Hz) 49.13 47.12 40.8 Primal enum.
The mice were imaged simultaneously for WL and NIR signal using a custom-built dual channel upper GI endoscope.
Optical imaging with a cathepsin B activated probe for the enhanced detection of esophageal adenocarcinoma by dual channel fluorescent upper GI endoscopy.
The 3DS XL doubles the battery life of the original, even as it vastly extends the size of the handheld's dual screens (the upper screen providing the impressive no-glasses 3D effect – the lower offering a touchscreen interface).
It then follows that the dual optimum D upper bounds the primal optimum P, D ≥ P, (35).
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