mws_ind_sle_txt_seidel_examples

mws_ind_sle_txt_seidel_examples - Chapter 04.08...

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04.08.1 Chapter 04.08 Gauss-Seidel Method – More Examples Industrial Engineering Example 1 To find the number of toys a company should manufacture per day to optimally use their injection-molding machine and the assembly line, one needs to solve the following set of equations. The unknowns are the number of toys for boys, 1 x , the number of toys for girls, 2 x , and the number of unisexual toys, 3 x . = 0 1260 756 00 . 0 00 . 1 05 . 1 3333 . 0 6667 . 0 1667 . 0 6667 . 0 1667 . 0 3333 . 0 3 2 1 x x x Find the values of 1 x , 2 x , and 3 x using the Gauss-Seidel method. Use = 1000 1000 1000 3 2 1 x x x as the initial guess and conduct two iterations. Solution Rewriting the equations gives 3333 . 0 6667 . 0 1667 . 0 756 3 2 1 x x x = 6667 . 0 3333 . 0 1667 . 0 1260 3 1 2 x x x = 0 ) 00 . 1 ( 05 . 1 0 2 1 3 x x x = The equation for 3 x is divided by 0 which is undefined. Therefore the order of the equations will need to be changed. Equation 3 and Equation 1 will be switched. By switching

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This note was uploaded on 06/12/2011 for the course EML 3041 taught by Professor Kaw,a during the Spring '08 term at University of South Florida - Tampa.

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mws_ind_sle_txt_seidel_examples - Chapter 04.08...

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