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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 (
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.