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Two different soft-computing tools (MATLAB and LINGO-11.0) have been used to solve the examples.
A set of MATLAB routines for the implementation of the method as well as sample code used to solve the examples have been developed.
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The code used for solving the examples in the next section is published in (Abali 2015) under GNU public license as declared in (Gnu Public 2007).
The results of solving the example with NSGA-II are presented as a Pareto front in Fig. 10.
In solving the example of paper, generalized Gaussian quadrature formula and conditional Monte Carlo simulation have been used, respectively.
We solved the Example 4.1 using the method described for N = 2 and N = 3. Results are shown in Table 2.
Table 4 shows two examples to solve the model using a software and using different data in which descending cost trend can be observed.
We solved this problem utilizing the same Matlab program as was used to solve the above example.
To test the effectiveness of our algorithm in this paper, we implemented it in MATLAB to solve the following example.
To illustrate the results, let us apply the proposed method to solve the following numerical examples.
To illustrate the solution procedure and the results, let us apply the proposed algorithm to solve the following numerical examples by applying the software SCILAB 5.5.0.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com