nonlinear programming

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Question:nonlinear programming

Posted: Cliffe 10 Product: Maple

April 26 2014

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 ?

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