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The strengths of this method are in its ability to visualize the placement-reach design problem and in its broadly applicable mathematical formulation well suited for computer implementation.
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Section 5 introduces SS-MC, our proposed recovery and prediction method, including the mathematical formulation as well as an efficient optimization approach based on Augmented Lagrange Multipliers.
Firstly, the UMDO theory preliminaries are introduced to clarify the basic UMDO concepts and mathematical formulations, as well as provide a panoramic view of the general UMDO solving process.
Combined traffic assignment and traffic control models are discussed both in terms of the underlying mathematical formulations, as well as in terms of algorithmic solutions, in order to better evaluate their applicability in large scale networks.
Section "Mathematical formulation" formulates a mathematical model in order to maximize the total profit of the retailer.
For one of these problems, a detailed mathematical formulation is given as well as a lengthy discussion on solution techniques.
The proper mathematical formulation of these phenomena as well as their incorporation into the population balance are discussed.
The Appendix contains additional information on the mathematical formulation of the model as well as on the fitting procedures and parameter values.
The principal objective of this paper is to provide a short overview of recent research in the numerical simulation of forging, with an emphasis on applications rather than the mathematical formulations which are well documented elsewhere.
The theme, dynamic stiffening, requires rather difficult mathematical formulations which may well lead to impractical engineering solutions, but several studies have been performed showing that by introducing simple variations of the thickness one is able to reduce the weight of beams while keeping constant or even increasing its fundamental frequency.
This publication provides a mathematical formulation for the previous aspects, as well as the design of a CPU utilisation estimator used to calculate the aforementioned forecasts.
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