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We reformulate these optimization problems as IP problems with additional valid constraints in the literature and improve the bounds in many cases.
We proposed several enhancements to strengthen the performance of the ILPH: (i) New valid constraints are introduced to speed up the resolution of reduced problems; (ii) A local search is incorporated as an intensification process to reduce the gap between the upper and the lower bounds.
We present the basic formulation and then introduce a series of provable valid constraints to reduce the solution space.
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The main purpose of this paper is to demonstrate this handicap and propose a valid constraint.
This approach is based on first deriving certain valid quadratic constraints and then relaxing them to linear matrix inequalities.
A relabeling of v sets its label to the largest value allowed by the valid labeling constraints.
The first step is to analyze valid Tstage constraints by determining the minimum and maximum Tstage from the dataflow graph (Figure 4).
The first step is to determine valid Tstage constraints by finding the largest single operator delay (minimum Tstage) and longest path length (maximum Tstage).
Once the valid virtual constraint has been found with the proposed method, the earlier developed techniques can be applied in order to design an orbitally stabilizing feedback control law.
The Resource has also designed a CDE data dictionary to provide guidelines for each of the data managers regarding the definition of each CDE, its valid values, variable constraints, validation rules, and any requirements and useful comments with regard to each of the CDEs.
Besides numerical solutions of the underlying mass balance equations of simplified reactor models, instructive analytical solutions were derived which are valid under certain constraints.
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