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1. Artificial Intelligence                                        21


































                            Figure1-7  Illustration of Simulated Annealing 1

              As iteration increases the simulated temperature is decreased and the
           value selected for the variable ‘x is moving towards the global minima point
           as shown in the figure 1-7.
              Thus values assigned  to the variable ‘x’ for the  first  few iterations
           (about 10 iterations in this example) is not really in decreasing order of
           f(x).  This  helps  to  search  the  complete  range  and  hence  helps  in
           overcoming the problem of local minima. As iteration goes on increasing
           the values  selected  for the variable  ‘x’ is  moving towards the global
           minima which can be noted from the figure 1-8.
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