Real world well formulated examples of non linear optimization problems

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I'm trying to find around the web some real world examples of non linear optimization problems. I currently need examples of:

  • Non restringed optimziation ( $\max$/$\min$ $f(x)$ for $x\in\mathbb{R}^{n}$ or with $x_{i}>0$)
  • Lineary restringed optimization
  • Quadratic optimization
  • Convex optimization
  • Separable optimization
  • Non-convex optimization
  • Geometric optimization
  • Fraccional optimization
  • complementary optimizacion

Also, any real-world example of optimization problem would be very much apreciated.

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You might look at some of the case studies at http://www.neos-guide.org/ or browse the Optimization Online archive at http://www.optimization-online.org/