On Interval Assignment Problem

On the analysis of the shortage of the traditional assignment problem,a new kind of extended assignment problem,Interval Assignment Problem,is defined in the paper.It is proved that the sufficient and necessary conditions of existing the interval optimal assignment of the interval assignment problem.Furthermore,it is given that some situations existing the interval optimal assignment.By using define interval pessimistic optimal assignment and interval optimistic optimal assignment for the interval assignment problem without interval optimal assignment,it is solved the interval assignment problem from one aspect.It can give the decision makers some suggestions for their decision.Finally,an example is illustrated.