gams:mcp_pair_..._has_empty_equation_but_associated_variable_is_not_fixed

The MCP framework is related to ideas from linear algebra. If you have a square system, `A x = b`

, there will typically be a unique solution when the number of columns equals the number of rows (and A is non-singular). In the MCP framework, we rule out models in which the number of non-empty equations is less than the number of variables.

The message indicates that one of the equations is empty – essentially, you have too many variables to be determined uniquely from the given equations.

The model below will give (correctly) the same error:

Set i /i1,i2/; Alias (i,ii); Variables x(i); Equations e(i); e(i).. sum(ii$(ord(ii)=-1), x(ii)) =e= 0; Model m /e.x/; solve m using mcp;

The equation above is a “degenerate” case in the sense that the lhs vanishes. In that case the matching variable must be fixed (`x.fx(i)=0;`

).

Most likely however you want to prevent such a situation from happening. Use an appropriate dollar condition on the equation such that this equation is not generated.

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gams/mcp_pair_..._has_empty_equation_but_associated_variable_is_not_fixed.txt · Last modified: 2020/05/26 13:06 by Lutz Westermann