While sitting in a courtroom, waiting to find out if he would be chosen for jury duty, Daniel Spielman had a revelation-all the work he and colleague Shanghua Teng had built up over the past three ...

The death of mathematician George Dantzig is a scientific watershed. Dantzig developed "linear programming" and the simplex method, used to solve complex efficiency problems for large organizations.

the shortest path simplex algorithm (SPS), has not been analyzed thoroughly, and it is not generally known that certain variants of this algorithm have the same complexity bound of 0(n3) as the best ...

These criteria are useful when you want to divide a time-consuming optimization problem into a series of smaller problems. Since the Nelder-Mead simplex algorithm does not use derivatives, no ...

This is a preview. Log in through your library . Abstract We devise a new simplex pivot rule which has interesting theoretical properties. Beginning with a basic feasible solution, and any nonbasic ...