Before revision:  Then, we study a generalized version of  MMD problem, the many-to-many matching with demands and capacities problem (MMDC)  , that in which each point has a limited capacity in addition to a demand.
After revision:  Then, we study a generalized version of MMD problem, the many-to-many matching with demands and capacities (MMDC) , that in which each point has a limited capacity in addition to a demand.