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The minimization is formulated as a Lagrange problem, and solved iteratively using a decomposition algorithm.
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In [15], a multi-objective optimization problem that jointly considered the femtocell throughput maximization and transmit power minimization was formulated, subject to interference constraints on both femtocell and macrocell including the co-channel interference and adjacent channel interference constraints under spectrum sensing error probabilities.
The joint constrained optimization problem for power minimization and capacity maximization is formulated and solved in Section 5.
Introducing the constraint that the Euclidean norm of the uncertain load set is fixed, the robust compliance minimization problem is formulated as the minimization of the maximum eigenvalue of the aggregated symmetric matrix according to the Rayleigh Ritz theorem for symmetric matrices.
The multi-objective minimization problem is formulated to minimize the function J (18) subject to the constraints mentioned in (3)–(7), (11)–(13) and an extra constraint as follow: sumlimits_{i = 1}^{4} {h_{i} } = 1quad h_{i} in left[ {begin{array}{*{20}c} 0 & 1 end{array} } right] (19).
In this paper, first a new explicit formulation of Nash equilibrium as a classical minimization function is formulated.
In Section 3, the primary interference minimization problem is formulated, derived, and analyzed.
In Section 5, the minimization problem is formulated and we state some illustrative examples.
First, a total power minimization problem is formulated by considering both power control of nodes and bit rate assignment.
An H∞ mixed sensitivity minimization problem is formulated and solved using an infinite-dimensional version of H∞ theory.
In a variational framework, an energy minimization problem is formulated and a multigrid resolution algorithm is designed.
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