The Exact Solution Procedure for Resource Constrained Proposal Project Portfolio Problem

2021 ◽  
Vol 18 (1) ◽  
pp. 198-217
Author(s):  
Yoon Jae Cho ◽  
Tae Ho Ahn
Keyword(s):  
Exact Solution ◽  
Solution Procedure ◽  
Project Portfolio ◽  
Resource Constrained ◽  
Portfolio Problem

The Heuristic Procedure for Resource Constrained Proposal Project Portfolio Problem

2021 ◽  
Vol 22 (1) ◽  
pp. 135-159
Author(s):  
Yoon Jae Cho ◽  
In Soub Paek ◽  
Jong Chool Kim ◽  
Tae Ho Ahn
Keyword(s):  
Project Portfolio ◽  
Heuristic Procedure ◽  
Resource Constrained ◽  
Portfolio Problem

scholarly journals Lie symmetry and exact solution of (2+1)-dimensional generalized Kadomtsev-Petviashvili equation with variable coefficients

2013 ◽  
Vol 17 (5) ◽  
pp. 1490-1493
Author(s):  
Hong-Cai Ma ◽  
Zhen-Yun Qin ◽  
Ai-Ping Deng
Keyword(s):  
Exact Solution ◽  
Exact Solutions ◽  
Variable Coefficient ◽  
Direct Method ◽  
Symmetry Transformation ◽  
Solution Procedure ◽  
Variable Coefficients ◽  
Lie Symmetry ◽  
Petviashvili Equation ◽  
Non Linear Systems

The simple direct method is adopted to find Non-Auto-Backlund transformation for variable coefficient non-linear systems. The (2+1)-dimensional generalized Kadomtsev-Petviashvili equation with variable coefficients is used as an example to elucidate the solution procedure, and its symmetry transformation and exact solutions are obtained.

A Quantitative Evaluation of Two Classical Approximations Used to Predict the Extent of Vertical Hydraulic Fractures

1983 ◽  
Vol 105 (4) ◽  
pp. 512-527 ◽  
Author(s):  
M. B. Rubin
Keyword(s):  
Integral Equation ◽  
Exact Solution ◽  
Hydraulic Fracture ◽  
Closed Form Solution ◽  
Solution Procedure ◽  
Form Solution ◽  
Critical Parameters ◽  
Hydraulic Fractures ◽  
Fracture Width ◽  
Special Case

An integral equation was developed to predict the critical parameters (fracture width and length) associated with the propagation of a vertical hydraulic fracture and a numerical solution procedure was developed. The effects of the classical approximations of pressure and fracture width were investigated both separately and together. It was found that the effects associated with the pressure approximation were relatively insignificant, whereas those associated with the fracture width approximation were significant, particularly when the formation was only moderately permeable. Finally, an exact closed-form solution of the integral equation was developed for a special case. It was shown that when the formation is only moderately permeable, this solution provides a better approximation of the exact solution than the classical solution of Carter [2].

An exact solution procedure to determine the optimal dispatching times for complex rail networks

2006 ◽  
Vol 38 (2) ◽  
pp. 141-152 ◽  
Author(s):  
Maged M. Dessouky ◽  
Quan Lu ◽  
Jiamin Zhao ◽  
Robert C. Leachman
Keyword(s):  
Exact Solution ◽  
Solution Procedure
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