## All-integer integer programming algorithm: International Business Machines Corporation, Research Center, Yorktown Heights, New York |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Common terms and phrases

additional rows ALL-INTEGER INTEGER PROGRAMMING all-integer method BUSINESS MACHINES CORPORATION choose a row choose the row chosen as pivot coefficients column of constants constant column constant term decrease indefinitely derivation dual feasible dual simplex method dual simplex rule eligible rows equation exclude possibility finite number finiteness proof Gaussian elimination Gomory inequality problem inequality represented INTEGER PROGRAMMING ALGORITHM integer solution INTERNATIONAL BUSINESS MACHINES iterated large negative constant largest negative constant Let us consider lexicographically linear programming problem matrix negative and remains negative elements negative integer non-basic variables non-increasing non-integers non-negative integer non-negative variables number of steps o,jo objective function ordinary dual ordinary simplex method original row pivot column pivot element pivot step positive number R(iQ rank remains negative row is eligible row of type rules of choice selection rule smallest column step look strictly vector xl x2 x3 YORKTOWN HEIGHTS zero column