29 research outputs found

    Branch-and-lift algorithm for deterministic global optimization in nonlinear optimal control

    Get PDF
    This paper presents a branch-and-lift algorithm for solving optimal control problems with smooth nonlinear dynamics and potentially nonconvex objective and constraint functionals to guaranteed global optimality. This algorithm features a direct sequential method and builds upon a generic, spatial branch-and-bound algorithm. A new operation, called lifting, is introduced, which refines the control parameterization via a Gram-Schmidt orthogonalization process, while simultaneously eliminating control subregions that are either infeasible or that provably cannot contain any global optima. Conditions are given under which the image of the control parameterization error in the state space contracts exponentially as the parameterization order is increased, thereby making the lifting operation efficient. A computational technique based on ellipsoidal calculus is also developed that satisfies these conditions. The practical applicability of branch-and-lift is illustrated in a numerical example. © 2013 Springer Science+Business Media New York

    Global sustainable silicon photovoltaics manufacturing: A technoeconomic, tariff and transportation framework with an applied case for Mexico

    No full text
    We present a framework (TIT-4-TAT) that enables the study of manufacturing strategies by coupling a technoeconomic model with tariff and transportation algorithms to optimize supply chain layouts for PV manufacturing. We use this framework in a scenario where Mexico, China, USA, and Brazil interact under two tariffs scenarios. The optimal manufacturing locations due to tariff levels variations are highlighted through this approach
    corecore