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gams:formulate_a_constraint_with_a_condition [2010/07/19 14:36]
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gams:formulate_a_constraint_with_a_condition [2010/07/19 14:50]
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 min x, subject to x > 0 ? Is it 1.e-10 or 1.e-20 or something smaller. min x, subject to x > 0 ? Is it 1.e-10 or 1.e-20 or something smaller.
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-Optimization theory is usually concerned with bounded closed sets where closed means that the boundary is part of the feasible set. Thus is no difference between ''<''​ and ''<​ =''​ for continuous variables when dealing with numerical algorithms. For discrete variables, the constraints mean exactly what they say. ''​=L=''​ means ''<​ ='',​ thus a constraint with an integer variable ''​=L= 9''​ means it can be less or equal to 9. If you want it to be less than 9, write the constraint as ''​=L= 8''​.+Optimization theory is usually concerned with bounded closed sets where closed means that the boundary is part of the feasible set. Thus there is no difference between ''<''​ and ''<​ =''​ for continuous variables when dealing with numerical algorithms. For discrete variables, the constraints mean exactly what they say. ''​=L=''​ means ''<​ ='',​ thus a constraint with an integer variable ''​=L= 9''​ means it can be less or equal to 9. If you want it to be less than 9, write the constraint as ''​=L= 8''​.
  
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