The simplex method for solving linear programming problems has several advantages over other methods, such as graphical methods, enumeration methods, or interior point methods.

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 ...

In this paper, we first propose a perturbation procedure for achieving dual feasibility, which starts with any basis without introducing artificial variables. This procedure and the dual simplex ...

This paper works on a heuristic algorithm with determinacy for the global optimization of continuous piecewise linear (CPWL) programming. CPWL is widely applied since it can be equivalently ...

Eventually linear programming came to be used in everything from manufacturing to diet planning. George Bernard Dantzig was born in Portland, Ore., on Nov. 8, 1914.