Sentence examples for level formulation from inspiring English sources

Equivalence between the proposed bilevel model and a single level formulation is proved considering the special structure of the problem.

Both the first order necessary conditions and the second order sufficient conditions are derived rigorously to validate the solution optimality despite of the non-convexity associated with the lower level formulation.

The upper level formulation allocates customers to depots under the constraints of depot capacities and customer demands, while the lower level determines the optimal path for each group of depots and customers.

With a block level formulation, (32) can be written as (33).

On a block level formulation (vector-matrix form), (7) can be written as (8).

So the advice there is, if you're going to do it, try it out before or use the lowest possible progesterone and estrogen level formulation that you can find.

No guidance has (before now) been provided as to the relevant merits of the paired and attribute level formulations.

The proposed model is formulated as a bi-level formulation, in which the upper level determines the optimal selection of logistics infrastructure investments and subsidies for green transport modes such that the benefit cost ratio of the entire logistics system is maximized.

A bi-level formulation is proposed, which is eventually re-formulated into a single-level model.

The lower-level formulation seeks a pure-strategy Nash equilibrium that respects collective behavior in crowds.

The bi-level formulation is transformed into a single-level problem through Karush Kuhn Tucker conditions.