Method and system for analyzing a linear programming problem or any other problem involving inequalities constraints set relating to multiple variables. An initial feasible region is calculated based on a sub-set of the constraints set. The feasible region is updated based on the additional constraints added one at a time. The method checks for feasibly, identifies active constraints, and provides end-points of the feasible region. The method may be applied to a control system or to a crossbar switch handling routing between multiple input and multiple outputs, such as digital data networking switch used to route TDM digital data streams being packet, frame or cell based, in a LAN, WAN, MAN or Internet application.