Optimal two-dimensional layout of industrial facilities

Layout is an important aspect of the design of industrial plants. In this paper a mathematical model is presented for the design of efficient and generic industrial layouts where a simultaneous solution of the block and detailed layout problem is considered. The optimal plant layout is obtained based on the minimization of the connectivity cost. Connectivity can describe simple pipe connections, guided vehicles or conveyors amongst others. Different topological characteristics are considered such as different equipment orientations, distance restrictions, nonoverlapping constraints, different equipment connectivity inputs and outputs, irregular equipment shapes and space availability over a two-dimensional continuous area. In operational terms, production together with operational sections are modelled as well as safety and operability restrictions. A Mixed-Integer Linear Problem (MILP) is developed where binary variables are introduced to characterize topological choices and continuous variables describe the distances and locations involved. To conclude, the applicability of the proposed formulation is illustrated via a set of representative examples.