Layout Optimization for the Dishes Installed on a Rotating Table——The Packing Problem With Equilibrium Behavioural Constraints

Abstract

The layout optimization for the dishes installed on a rotating table is investigated. This is a packing problem with equilibrium behavioural constraints. To deal with its layout topo-models and initial layout, a mathematical model and heuristic approaches, including the method of model-changing iteration (MCI) and the method of main objects topo-models (MOT), are proposed, with a series of intuitive algorithms embedded in, such as the technique for the search under the initial guess and the strategies for remission of "combinatorial explosion" . The validity and reliability of the proposed algorithms are verified by numerical examples and engineering applications, which could be used in satellite module, multiple spindle box, rotating structure and so on.