Mixed complementarity problem

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Mixed Complementarity Problem (MCP) is a problem formulation in mathematical programming. Many well-known problem types are special cases of, or may be reduced to MCP. It is a generalization of Nonlinear complementarity problem (NCP).

Definition[edit]

The mixed complementarity problem is defined by a mapping , lower values and upper values .

The solution of the MCP is a vector such that for each index one of the following alternatives holds:

  • ;
  • ;
  • .

Another definition for MCP is: it is a variational inequality on the parallelepiped .

See also[edit]

References[edit]