The three-dimensional bottleneck assignment problem with capacity constraints

In the three-dimensional bottleneck assignment problem involving workers, jobs and machines, if the surplus commodities have to be fully employed, then the commodities in short supply would, naturally, be required to do additional work but subject to inherent capacity constraints. In this paper, several models involving different types of capacity constraints in the three-dimensional bottleneck assignment problem are formulated and methods of balancing such models are discussed.