A generalization of the rectangular bounding method for continuous location models

AbstractWe develop a generalized bounding method for the Weiszfeld iterative procedure used to solve the hyperbolically approximated ℓp-norm single- and multifacility minimum location problems. We also show that, at optimality, the solution to the bound problem coincides with the solution to the original location problem. We use this result to show that the rectangular bound value converges to the single-facility location problem optimal objective function value

The convergence of the Weiszfeld algorithm

AbstractWe investigate the convergence properties of the Weiszfeld procedure when it is applied to the approximated ℓp-norm single-facility location problem where p > 2. We show that convergence for p > 2 can be obtained by introducing a step size factor to the iterative procedure. Some numerical test results are also given

Reverse Logistics: Network Design Based on Life Cycle Assessment

Part 2: Sustainable Supply ChainsInternational audienceWhen aiming to a more sustainable world, enterprises such as aircraft and automobile industries are highly interested in light weight components and solutions. Of these solutions are aluminum wrought alloys that offer high potentials for dramatic weight reduction of structural parts. Nevertheless, the production of virgin aluminum is, however, highly energy consuming. Hence, and in SuPLight project, we are interested in recycled aluminum. The aim of this project is to address new industrial models for sustainable light weight solutions – with recycling in high-end structural components based on wrought alloys. In this article we address the issue of designing the reverse logistics chain assuring the needed volume of recycled aluminum for the production of L-shaped Front Lower Control Arms for personal cars