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In particular, the proposed SIA directly optimizes the objective function and its each iteration turns the multidimensional optimization problem into multiple one-dimensional optimization problems with closed-form solutions.
The determination of the most relevant seeming scenario for us is, in fact, a multidimensional optimization problem that cannot be solved by the calculation of the overall probability.
The representation of multiexponential kinetics of the basic reaction in the form of a sum of exponential functions ( left(A t)={displaystyle {sum}_{i=1}^n{a}_i{e}^{-{k}_it}}right) ) is a multidimensional optimization problem.
A multidimensional optimization problem is given, along with an objective function to evaluate the fitness of each candidate point in parameter space; the swarm is typically modeled by particles in this multidimensional space that have a position and a velocity.
The precedence-constrained production planning and scheduling is a multidimensional optimization problem, in which a number of sub-problems such as production selection, product allocation, manufacturing sequence, etc. are required to be simultaneously solved.
The representation of multiexponential kinetics curve for the basic reaction in the form of a sum of exponential terms ( left(A t)={{displaystyle {sum}_{i=1}^n{a}_ie}}^{-{k}_it}right) ) with restriction (k i > 0, a i > 0), is a multidimensional optimization problem with identification difficulties.
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Several concerns in sensor networks are formulated as multidimensional optimization problems, and approximated through computational intelligence techniques.
In comparison with other anomaly detection algorithms, ABC has a number of advantages which can be numerated as (1) detection of discord patterns in a large non linear data during a short time, (2) simplicity, (3) having less control parameters and (4) efficiently for solving multimodal and multidimensional optimization problems.
Unfortunately, they often lead to difficult multidimensional optimization problems with a heavy computational burden.
A surface with multiple local maxima and minima can simultaneously test a GA's ability to avoid premature convergence and its ability to handle multidimensional optimization problems.
The main challenges in this topic involve the ill-posedness of the estimation problem such that many indistinguishable solutions exist [ 4], as well as the high computational cost in solving the associated multidimensional global optimization problem.
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