Moreover, a new, ratio-test-free pivoting rule is proposed, significantly reducing computational cost at each iteration. Our numerical experiments show that the method is very promising, at least for ...

Concave objective functions which are both piecewise linear and separable are often encountered in a wide variety of management science problems. Provided the constraints are linear, problems of this ...

The Simplex Method To develop a general solution method, let's look carefully at the solution of the two-variable problem: First, we need to introduce some definitions. We will refer to any assignment ...

Example 8.9: Linear Programming The two-phase method for linear programming can be used to solve the problem A routine written in IML to solve this problem follows. The approach appends slack, surplus ...

George B. Dantzig, the mathematician who invented the field of linear programming, which revolutionized the way government and private enterprise planned, scheduled and generally conducted their ...