Cliffe

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nonlinear programming...

Asked: Cliffe 10 Product: Maple

April 26 2014

0 1

Hi, I would like to solve this nonlinear problem :

$\left\{ \begin{array}{lrcll} & max \ \ \ \sum \limits_{i=1}^{n}c_i & \\ s.t. \\ & x_i & \ge & R & \forall i=1..n \\ & x_i & \le & L - R & \forall i=1..n \\ & y_i & \ge & R & \forall i=1..n \\ & y_i & \le & H - R & \forall i=1..n \\ & (x_i - x_j)^2 + (y_i - y_j)^2 - 4c_ic_jR^2 & \ge & 0 & \forall i,j=1..n, i \ne j \\ \\ & c_i & \in & \left\{0, 1 \right\} & \forall i=1..n \\ & x_i,y_i & \ge & 0 & \forall i=1..n \end{array} \right.$

with : $\left\{ \begin{array}{lcl} L & \ge & 2R \\ H & \ge & 2R \\ R & > & 0 \\ \end{array}\right.$

I use the NLPSolve command and i get this error : Error, (in Optimization:-NLPSolve) integer variables are not accepted.

Can you help me ?

How to write "argmin" in maple instructi...

Asked: Cliffe 10 Product: Maple

March 12 2014

1 3

Hi, I would like to write this :

$argmin_{u \in F} \{d[u]\}$
as simply as possible with maple instructions.

Example :
$F=\{2,3,6\},d=(10,7,4,2,5,7)$
$argmin_{u \in F} \{ d[u] \} = argmin \{ d[2], d[3], d[6] \} = arg \{ d[3] \} = 3$
thx.

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