CPX_STAT_MULTIOBJ_OPTIMAL

All sub-problems solved during the solution of a multi-objective problem have been solved to optimality.

For a multi-objective MIP, CPLEX returns CPX_STAT_MULTIOBJ_OPTIMAL when all MIP sub-problems are solved either to proven optimality (that is, with solution status CPXMIP_OPTIMAL) or to optimality within tolerances (that is, with solution status CPXMIP_OPTIMAL_TOL).

For a multi-objective LP, CPLEX returns CPX_STAT_MULTIOBJ_OPTIMAL when all LP sub-problems are solved to proven optimality (that is, with solution status CPX_STAT_OPTIMAL).