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Threshold problems are cases where one utility is not required.
To address the first issue, a step-wise approach was employed to reduce the problem to a series of easier-to-solve two-phase grayscale threshold problems.
This paper also shows that SePTA and SND can be a vital combination of numerical and graphical visualisation tools for targeting and design of complex HENs involving stream splitting, threshold problems and multiple pinches.
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In the following, this optimization problem is referred to as SNR threshold problem.
In addition, existing pinch analysis paid little attention to the rare but realistic cases of threshold problem.
In Section "The SNR threshold problem", analytical derivations of the average data rate and BER taking into account imperfect CQI and different user demands are presented which are then used to solve the SNR threshold problem.
In Section "The SNR threshold problem", it is assumed that there exists a given user serving vector ϑ.
Note that the calculation of the proper weighting factors is shown in Section "The SNR threshold problem" later on.
However, although the threshold problem remains, the procedure for GPS/A data can become almost completely automated.
When WAN only has a single-temperature-peak for each sub-stream, the heat recovery problem of this system could be a threshold problem requiring less energy.
It is shown that this optimization problem can be split up into two subproblems, namely the signal-to-noise-ratio (SNR) threshold problem and the user serving problem.
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