Papers by Keyword: Objective Function

Abstract: The main goal of the paper is to provide a drawn up methodic for proposal of technical system optimization in terms of maximizing its reliability at given sum of financial costs or minimizing finance to achieve set reliability. The system reliability, respectively causal relationships between system failures and its elements faults are analyzed and illustrated by using special method called fault tree analysis (FTA) and technical system is represented by fault trees. Subsequently, the genetic algorithms are appropriately applied on the constructed diagram. The part of this paper is the proposal and description of individual steps of genetic algorithm in order to optimize fault tree analysis.

Abstract: The displacement and the angle of the continuous beam are researched under the complex loads in this paper. Based on the analytical model suggested by the authors, the nested dynamic objective function is determined to form the optimization of beam deformation, and a program analysis of typical examples is presented. It is compared both analytical model and simulation results based on finite element software of ANSYS10.0. The results show that the analytical model suggested by the authors is correct.

Abstract: for large enterprises, the fixed assets of enterprise are the material foundation for the development of enterprises. It is of important significance to do well the financial management of fixed assets. In China, many large enterprises are the manufacturing enterprises. The profit space of manufacturing enterprises is relatively low. In this case, it must strengthen the management level of enterprise fixed assets, improve the use efficiency of fixed assets, reduce production costs, so as to make the enterprises have a greater economic benefits. In this background, this paper has established the financial management scheme controlled by computer for the fixed assets of large enterprise, and has established the investment planning mathematical model of the double financial management of the fixed assets. Besides, it has made rational financial allocation of fixed assets for the large enterprises, which has obtained the financial management objective function of enterprises maximum benefits. Finally, the paper combines with the VB computer information software, it takes a large enterprise as an example to control the program for its financial investment, and obtains the optimal allocation model of fixed assets, which provides theoretical guidance for the study of financial management of large enterprises.

Abstract: Classical hextremum problem to determine the optimum geometrical parameters of a linear-elastic, homogeneous, isotropic circular membrane with a rigid central disk is the static effect of a concentrated force is solved. Ratio of 0.326 found between the inner and outer radius of the membrane plate provides the greatest sensitivity, efficient thickness and minimum materials consumption, which is a consequence of the implementation of the condition of reliability for the safety factor for the down to the limit state of springing element. The energy failure theory of Huber-Hencky-Mises (Huber M.T., Hencky H., Mises R.) is used as the constraint equation. Due to the complexity (transcendence) of the formula target sensitivity function that depends on two controlled variables, the procedure of maximization is performed by search for the direct numerical method. The developed mechanical-mathematical model of the optimization process is based on three well-known conditions proposed by G. Kirchhoff for the thin plate-bending theory.The derived formulas can be used for optimal design of capacitive, inductive and strain measuring force sensory data unit, in which the membrane requires the greatest move, that is, high sensitivity, and the membrane plate is loaded only by the working pressure without experiencing reaction from the mechanism of the device.

Abstract: The agricultural irrigation water of Kaifeng city is mainly supplied by the Yellow River and the local underground water. According to conditions of the irrigation area water supply and groundwater reduction for many years, the paper puts forward the optimal allocation and the supplying water programs on using combination of surface water and groundwater. By using variable one-dimensional search technology, it will express nonlinearity function is approximated by piecewise linear function so as to set up the mathematical model of controlled object, so the nonlinear programming problem will be turned into linear programming problem. Thus choose different decision variables and different parameters to use computing in order to get to approach the optimal allocation of water resources.

Abstract: Simulating dynamic behaviors of metabolic networks of a living cell plays an important role in system biology. As a part of dynamic model, the choice of objective function has a large influence on simulation accuracy for these behaviors. In this work, in order to precisely describe the biomass yield and substrate utilization in glycolytic metabolism of Escherichia coli, we try to modify the objective function of the existing dynamic model by using maximization of glucose utilization to replace the traditional objective one. After that, the dynamic model with the new objective is converted to a standard optimal control problem. And then we compute such model through the use of the penalty function methods. The results illustrate that the simulation curves perfectly agree with experiment data, especially with biomass concentration. Thereby, we conclude that completely utilizing substrate glucose is feasible to describe and improve the simulation accuracy on concentrations of some important metabolites in Escherichia coli. The completeness of investigating such models will be helpful and instructive for the application of bioengineering.

Abstract: The machine processing optimization model is one kind of typical restraint optimization model. This paper takes the lathe work as an example to study the construction way of optimization model construction under a series of constraint environments, and its goal is pursues the highest productivity and the lowest cost.

Abstract: Economy and hydraulic stability of piping network which has a fixed structure depend on the matching ability of pipe diameter. In order to improving the matching ability and maneuverability of selecting pipe diameter, a new design method is presented. A real case study shows that the piping network which is designed with the new method has excellent technical quality and the least life cycle costs, and can achieve saving more than 7 percent against the original design.

Abstract: Pseudo-rigid-body model (PRBM) method, which simplifies the geometrical nonlinear analysis, has become an important tool for the analysis and synthesis of compliant mechanisms. In this paper, a simplified 2R PRBM with two rigid links and two torsion springs is proposed. The characteristic radius factor and stiffness coefficients are selected as the design variables; in order to be better to simulate the tip point and tip slope, a three-dimensional objective function is formulated to optimize the new pseudo-rigid-body model. It is revealed in this paper that the precision of the tip point simulation can be improved when the coefficient of the tip slope error in the objective function is reduced.

Abstract: Previous studies on the amplitude horn only calculated sizes in consistent with the axial resonant mode frequency and disc bending resonant mode frequency without considering the overall stress and the amplitude of the disc’s outer ring. The resonant frequency of the amplitude horn cannot occur around 35 kHz. Such a design results in the inability to weld and may damage solar panels or lead to poor welding quality. Using the optimization method to address these problems, the proposed design process in this study is to conduct sensitivity analysis by the gradient method to understand the impact of design variables on the objective function for the selection of design variables. Then, this study applied the random search method to find out the feasible design of arrays to optimize the structure of two arrays closest to the design objective by the full factorial experiment method to ensure to get the global optimal solution rather than the local optimal solution. Finally, by design examples, this study used the sub-problem approximation method to search the optimized solution and compared the differences of the two methods, in order to confirm whether the objective of optimized design of amplitude horn had been achieved.