Decomposition analysis and optimization of an automotive powertrain design model

Decomposition methods in mathematical programming typically apply a coordination strategy based on an identifiable structure in the problem. Decomposition analysis is a rigorous method for discovering how to (i) partition an original model so that the resulting problem structure matches the one required by a general coordination strategy, and (ii) implement the most suitable such strategy. Automated partitioning has received significant attention recently but implementation of coordination strategies based on decomposition analysis is still scarce. This article presents a complete analysis for partitioning and coordinated solution of an automotive powertrain design problem. The model offers a practical approach for accommodating control and geometry variables simultaneously. A variable complexity coordination strategy is proposed and implemented.