scholarly journals A Numerical Method for an Inverse Optimization Problem through the Generalized Method of Lines

2020 ◽  
pp. 547-553
Author(s):  
Fabio Silva Botelho
Keyword(s):  
Numerical Method ◽  
Optimization Problem ◽  
Method Of Lines ◽  
Inverse Optimization ◽  
Inverse Optimization Problem

Examining the LEED Rating System Using Approximate Inverse Optimization

2012 ◽  
Author(s):  
Sarina D. O. Turner ◽  
Timothy C. Y. Chan
Keyword(s):  
Optimization Problem ◽  
Historical Data ◽  
Green Building ◽  
The United States ◽  
Inverse Optimization ◽  
Rating System ◽  
Optimization Approach ◽  
Approximate Inverse ◽  
Design Elements ◽  
Inverse Optimization Problem

The Leadership in Energy and Environmental Design (LEED) rating system is the most recognized green building certification program in North America. In order to be LEED certified, a building must earn a certain number of points, which are obtained through achieving certain credits or design elements. Prior to LEED version 3, each credit was worth one point. In this study, we develop an inverse optimization approach to examine how building designers intrinsically valued design elements in LEED version 2. Due to the large dimensionality of the inverse optimization problem, we develop an approximation to improve tractability. We apply our method to 18 different LEED-certified buildings in the United States. We find that building designers did not value all credits equally and that other factors such as cost and certification level play a role in how the credits are valued. Overall, inverse optimization may provide a new method to assess historical data and support the design of future versions of LEED.

scholarly journals AN INVERSE OPTIMIZATION PROBLEM OF HEAT TRANSFER IN THE MACHINING PROCESS – A REVIEW

2021 ◽  
Vol 24 (1) ◽  
pp. 10-21
Author(s):  
Marin Gostimirovic ◽  
◽  
Milenko Sekulic ◽  
Dragan Rodic ◽  
◽  
...  
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Optimization Problem ◽  
Inverse Optimization ◽  
Machining Process ◽  
Measured Temperature ◽  
Machining Conditions ◽  
Inverse Optimization Problem ◽  
Creep Feed Grinding ◽  
Creep Feed

This paper reports on the results of research on thermal aspects in the process of material removal by inverse heat transfer problem. The research focuses on the identification, modeling and optimization of machining process based on the measured temperature at a particular point of the workpiece. The inverse approach determines the overall temperature distribution of the workpiece and the unknown heat flux at the tool/workpiece interface in machining. By introducing and minimizing an objective function based on the heat flux function, relationship of the heating power and duration on the surface layer of the workpiece is optimized. In this way, the most favourable machining conditions are determined in order to achieve high productivity and quality levels. The inverse optimization problem is solved by using the analytical, numerical and regularization methods. Formulation, application and analysis of the inverse optimization problem of heat transfer are shown on the example of creep-feed grinding. The creep-feed grinding process is a widely used abrasive machining process that is characterized by high thermal load of the workpiece. The results of the inverse optimization problem were verified by a series of experiments under different machining conditions.

Examining the LEED Rating System Using Inverse Optimization

2013 ◽  
Vol 135 (4) ◽  
Author(s):  
Sarina D. O. Turner ◽  
Timothy C. Y. Chan
Keyword(s):  
Optimization Problem ◽  
Historical Data ◽  
Green Building ◽  
Inverse Optimization ◽  
Rating System ◽  
Point System ◽  
Optimization Approach ◽  
Certification Program ◽  
Design Elements ◽  
Inverse Optimization Problem

The Leadership in Energy and Environmental Design (LEED) rating system is the most recognized green building certification program in North America. In order to be LEED certified, a building must earn a sufficient number of points, which are obtained through achieving certain credits or design elements. In LEED versions 1 and 2, each credit was worth one point. In version 3, the LEED system changed so that certain credits were worth more than one point. In this study, we develop an inverse optimization approach to examine how building designers intrinsically valued design elements in LEED version 2. Because of the change in the point system between version 2 and version 3, we aim to determine whether building designers actually valued each credit equally, and if not, whether their valuations matched the values in version 3. Due to the large dimensionality of the inverse optimization problem, we develop an approximation to improve tractability. We apply our method to 306 different LEED-certified buildings in the continental United States. We find that building designers did not value all credits equally and that other factors such as cost, building type, and size, and certification level play a role in how the credits are valued. Overall, inverse optimization may provide a new method to assess historical data and support the design of future versions of LEED.

Applications of the Numerical Method of Lines (NMOL) in Soil Hydrology

1987 ◽  
Vol 30 (1) ◽  
pp. 0198-0201 ◽  
Author(s):  
Shiv O. Prasher ◽  
Chandra Madramootoo
Keyword(s):  
Numerical Method ◽  
Method Of Lines ◽  
Soil Hydrology

scholarly journals Damage Detection Using a Graph-based Adaptive Threshold for Modal Strain Energy and Improved Water Strider Algorithm

2021 ◽  
Author(s):  
Ali Kaveh ◽  
Parmida Rahmani ◽  
Armin Dadras Eslamlou
Keyword(s):  
Damage Detection ◽  
Strain Energy ◽  
Optimization Problem ◽  
Computational Cost ◽  
Adaptive Threshold ◽  
Damage Localization ◽  
Water Strider ◽  
Modal Strain Energy ◽  
Inverse Optimization Problem ◽  
Satisfactory Performance

Damage detection through an inverse optimization problem has been investigated by many researchers. Recently, Modal Strain Energy (MSE) has been utilized as an index (MSEBI) for damage localization that serves to guide the optimization. This guided approach considerably reduces the computational cost and increases the accuracy of optimization. Although this index mostly exhibits an acceptable performance, it fails to find some damaged elements' locations in some cases. The aim of this paper is twofold. Firstly, a Graph-based Adaptive Threshold (GAT) is proposed to identify some of those elements that are not detected by basic MSEBI. GAT relies on the concepts from graph theory and MSE working as a simple anomaly detection technique. Secondly, an Improved version of the Water Strider Algorithm (IWSA) is introduced, applied to the damage detection problems with incomplete modal data and noise-contaminated inputs. Several optimization algorithms, including the newly-established Water Strider Algorithm (WSA), are utilized to test the proposed method. The investigations on several damage detection problems demonstrate the GAT and IWSA's satisfactory performance compared to the previous methods.

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