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The problem to be solved is formulated as a mixed-integer linear programming (MILP) model whose objective function concerns the total cost minimization of the energy microgrid.
Theoretically, the problem proposed by the relational analysis approach, which needs to be solved, is formulated as the following: find the best partition, which represents the clustering result, by optimizing the Condorcet's criterion [11] accordance with the constraints defining an equivalence relation.
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The problem which must be solved can be formulated as follows: given a hybrid automaton, which models the system behavior, restrict its region associated with the controllable transition, in a systematic way, so that all the remaining behaviors satisfy certain properties.
How MMPDEs are formulated and solved is crucial to the efficiency and robustness of the method.
Then, the problem required to be solved at this stage can be formulated as Eq. (28) with constraints (29) to (34).
In the second method, a linear programming problem (LP) is formulated and is solved with classical techniques.
desirability function, and feasibility indices in the constraints, the mathematical model of structural robust design problem is formulated and is solved with a gradient-based algorithm.
In the first method, a nonlinear programming problem (NLP) is formulated and is solved by using the successive quadratic programming algorithm (SQP) and combinatorial analysis.
Within this framework, the prior information is transformed into a regularization term and a sparse optimization problem, which could be solved through block coordinate descent method (BCD), is formulated.
The model equations are solved using gPROMS®, and a NLP problem is formulated to maximize a performance objective function.
The perturbation method is used for solving the problem which is formulated on the basis of Hamilton's principle.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com