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Sources with proportional spectra are assumed, and thus, the single measurement vector formulation of Section 3 can be used.
In accordance with the formulation of Section 2.3, femtocells within this region constitute a MPP denoted by Φ ~ 1 = φ, x ∈ Φ ~ | p b r − α x ≥ ρ th.
The selection of the appropriate weight values in the MILP formulation of Section 3 is key in solving specific goals.
It can often be observed that the formulation of Section 3 produces a solution with high fluxes assigned to many reactions.
The MILP formulation of Section 3 does not provide a solution with accurate absolute fluxes, but rather it provides accurate relative fluxes.
Note that the formulation of Section 4.1 and this Branch-and-Cut model have the same lower bounds given by the LP relaxations as can be seen from [4].
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Here, we extend the methods developed in [21, 22] to solve the axis symmetric formulations of Section 2.2.
The paper is organized as follows: In the 'Formulation of MLPP' section, we discuss formulation of MLFPP and the related terminology.
In the 'Fuzzy programming formulation of MLFPP' section, we characterize the linear membership functions for the numerator and denominator of objective functions at each level as well as decision vectors controlled by the higher level DMs.
The geometric stiffness is derived in a compact form from an initial stress formulation in terms of section forces and moments.
Section 9.2 studies the influence of equivalent choices of the mesh-size function h (T ) for the residual error estimator, Section 9.3 concerns a facet-based formulation of η, while Section 9.4 analyzes recovery-based error estimators.
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