Balanced Optimization with Vector Costs

Author(s):  
Annette M. C. Ficker ◽  
Frits C. R. Spieksma ◽  
Gerhard J. Woeginger
Author(s):  
Bram de Smit ◽  
Johan J. Broek ◽  
Imre Horváth

Abstract Due to the need for large numbers of layers and size limitations, current layered manufacturing technologies are not suitable for the fabrication of large sized free-form objects. For this purpose a novel technology of thick layered object manufacturing is being developed, based on higher order approximation of the initial geometry, and the application of a flexible curved cutting tool. The method allows us to produce physical prototypes with less or without any finishing. The technology of cutting foams by means of a heated flexible blade in polystyrene foam offers new possibilities. However to achieve the optimum output, optimization of the process parameters is needed. In this paper a closer look is taken into the process characteristics and the influential factors which are decisive for productive cutting. The authors summarize the results of the executed experimental tests. In these experiments the values of the most influential parameters were systematically changed and the effects were carefully investigated. The first results indicate that the cutting technology is practically feasible, but further research is needed in order to achieve a balanced optimization of the technology from all aspects.


2014 ◽  
Vol 611-612 ◽  
pp. 1139-1148
Author(s):  
Torgeir Welo ◽  
Mads Bolstad

The rapid application of alternative materials is vital to the environmental and sustainable development of the European manufacturing industry. In many cases, companies seek using ‘old’ materials, such as aluminum alloys, magnesium, titanium, composites and plastics, for new applications in order to improve customer value; i.e., the perceived product benefits subtracted its price. For a subset of manufacturing companies, one of the most viable strategies is to offer weight savings at an affordable price by replacing steel with aluminum alloys, typically providing added value in the 0.25 - 0.5 kg/€ range, depending on application. Hence, weight savings shave to come with minimum cost penalty, which calls for a balanced optimization of manufacturing process and material consumption. For formed products, the latter optimization is driven by the performance characteristics of the final product as well as its quality capabilities relating to dimensional accuracy. The former is closely related to the attributes of the particular forming method. In this study, an industry-like rotary stretch bending set-up has been equipped with two different modular die inserts to determine how process characteristics impact dimensional accuracy of the product, as represented by local cross-sectional distortions and global elastic springback in industrial practice. A number of cross-sectional profile geometries with different wall thickness, depth, width and number of internal chambers have been simultaneously stretched and bent into the shapes provided by two die different configurations. The extruded profiles were made in different heat treatable alloys within the AA6xxx and AA7xxx series and formed according to industrial practices, which for the latter included solution heat-treatment immediately before forming. The results show that the slenderness of the external flange of the cross section is the main parameter with regard to the magnitude of local cross-sectional distortions. In practice, therefore, wall-thickness is the critical quality control parameter. The material’s yield characteristic proved to have limited impact on local distortions, although this is usually a major concern with regard to springback variations. The results from the experimental series have been structured into a design relationship for assessment of local distortions where the problem is reduced to the use of a proposed dimensionless bendability parameter as input.


2012 ◽  
Vol 174-177 ◽  
pp. 2966-2969
Author(s):  
Wen Ping Wu ◽  
Jian Xin Liu ◽  
Yang Zhang

Project’s duration - expense exchange question focus on how to optimize the goals by least expenses or by shortest duration limit for a project, and did not consider the influence of such optimization and incentive mechanisms for receipts and quality. This article first proposed the theory of generalized cost, brings the duration, the cost and the quality into line with the cost category, and constructed integrated optimization model of Duration, cost and quality based on the theory, with practical examples, the theory is proved feasibility, scientific and economic.


Author(s):  
A.V. Sokolov ◽  
V.K. Bolondinsky ◽  
V.V. Voloshinov

The application of numerical technology for evaluation the correspondence of a mathematical model and experimental data via the balanced (optimization) identification method is demonstrated with comparing various models of pine transpiration. A quantitative measure of the model evaluation is the cross-validation error. Current implementation of the technology allow the researcher to formulate the computing task in a text file, which contains: mathematical model formulas (including differential and/or integration equations); declarations of parameters and/or functions to be identified; data source (with experimental measurements) and additional settings of the numerical method. As a result, the software package returns unknown parameters, functions, and modeling errors. This technology is successfully used to various models in biology, medicine, physics, etc.


2010 ◽  
Vol 73 (1) ◽  
pp. 19-27 ◽  
Author(s):  
Lara Turner ◽  
Abraham P. Punnen ◽  
Yash P. Aneja ◽  
Horst W. Hamacher

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