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Furthermore, the top R optimal solutions of this optimization problem were the output predicted structures of this problem.
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However, due to the complex structure of this problem, some practical constraints have been disregarded or have not been fully incorporated.
We give a new proof of, and extend, the main theorem in Liu and Wiens (op. cit).; in so doing we shed new light on the structure of this problem.
On the other hand, our approach takes advantage of this particular structure of the problem.
Such algorithms must exploit domain-specific structures of the problems being considered.
We exploit this structure of the problem for its solution.
By tightening the structure of the problem with this formulation, we have extended the solvable solution space from problems with nine departments to problems with eleven departments.
In this study, a bilevel model is presented to consider water transfer and water supply together, in view of the hierarchical structure of the problem, which renders this problem unsuitable for modeling by conventional method.
These subsequent findings illustrate the multi-extremal structure of this design problem, thereby calling for global optimization based solution approaches.
Efficient algorithms exploiting this link, and the structure of the problem at hand are currently under investigation.
This method preserves the geometric structure of the problem.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com