Mixed Integer Models for Branched Sheet Metal Products

Integer linear programming models for topology optimization in sheet metal design

The process of designing new industrial products is in many cases solely based on the intuition and experience of the responsible design engineer. The aid of computers is restricted to visualization and manual manipulation tools. We demonstrate that the design process for conduits, which are made out of sheet metal plates, can be supported bymathematical optimizationmodels and solution techniqu...

Manufacturability-Driven Decomposition of Sheet Metal Products

Algorithms for Stochastic Mixed-Integer Programming Models

In this chapter, we will study algorithms for both two-stage as well as multi-stage stochastic mixed-integer programs. We present stagewise (resourcedirective) decomposition methods for two-stage models, and scenario (pricedirective) decomposition methods for multi-stage models. The manner in which these models are decomposed relies not only on the specific data elements that are random, but al...

3D Conceptual Design of Sheet Metal Products by Sketching

Design of sheet metal products can be a complex and elaborate process. However, many important aspects of the manufacturing characteristics of a product are already determined at the early stages of the design. This paper reports on a system for conceptual design of sheet metal products by sketching, based on principles of early incorporation of CAD, imprecise analysis, and natural, incontext i...

ALTERNATIVE MIXED INTEGER PROGRAMMING FOR FINDING EFFICIENT BCC UNIT

Data Envelopment Analysis (DEA) cannot provide adequate discrimination among efficient decision making units (DMUs). To discriminate these efficient DMUs is an interesting research subject. The purpose of this paper is to develop the mix integer linear model which was proposed by Foroughi (Foroughi A.A. A new mixed integer linear model for selecting the best decision making units in data envelo...