In this survey we address three of the principle algebraic approaches to integer programming. After introducing lattices and basis reduction, we first survey their use in integer programming, presenting among others Lenstra's algorithm that is polynomial in fixed dimension, and the solution of...

We consider the problem of designing a 2-stations Automated Guided Vehicle System (AGVS). The AGV System consists of a pool of vehicles that transports products from one station to the other station through an unidirectional guidepath.