Pivoting Rules for Avoiding Cycles in the Gilmore-Gomory Algorithm

Fractional programming appears often in the management model. It can be Solved by the Gilmore-Gomory algorithm.
In our paper. we have constructed counterexample Showing that the Gilmore-Gomory algorithm may produce cycles, so that the computation is impossible. In this paper. we also give new finite pivoting rules and show that using this new pivoting rules cycles are avoided.