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Process simulators like ASPEN PLUS, CHEMCAD, HYSYS, and PRO/II are designed to obtain at best one solution.
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Classical optimization methods can at best find one solution in one simulation run, thereby making those methods inconvenient to solve multi-objective optimization problems (Deb 2001).
The main reason for the multiple possible solutions is that no single solution can be thought as the best one than the other solution in the optimal set.
However, from the Pareto sets generated by multi-objective optimisation it is not obvious to identify the best one, given that each solution is optimal with regard to the selected objectives.
The startup offers a SaaS technology (or a social CRM platform, if you will) to help businesses make their websites social, integrating their online appendages with Facebook, Twitter, LinkedIn, etc. and consolidating the best social features into one solution.
The resulting choice, although good, is not necessarily the best one since the optimal solution may prefer T i to a candidate B i which is farthest away from A i but minimizes the global distance between all best candidates selected for the other toponyms.
This of course means there are a zillion and a half different Kindle lights available, but the official Amazon lighted case is about the best two-in-one solution.
That's because over time the engineers all tend to zero in on one best solution to the various problems raised by a set of regulations.
There are no correct solutions or even one best solution that the students are trying to find; rather, they are simply using their imaginations to generate as many possibilities as they can.
There are no correct solutions or even one best solution that the students are trying to find; rather, they are simply using their imaginations to generate as many possibilities as they can and in the end, vote for the 2 or 4 that they are most excited about.
The optimal set can provide more than one best solution to support multiple decisions depending on different decision variables.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com