Get This Paper

A Mathematical Approach to Manufacturing Process and Systems Modeling Using Geometric Programming


Title: A Mathematical Approach to Manufacturing Process and Systems Modeling Using Geometric Programming

Authors: Scott T. Nill, Larissa F. Nietner, and Alexander M. Rubin

DOI: 10.33599/nasampe/s.19.1599

Abstract: Recent advances in composite materials and manufacturing processes for commercial aircraft have brought disruptive change to the industry. It has been challenging to quantify the business impacts of coupled changes in vehicle performance and production processes of new composites systems. We present an approach to integrate nonlinear models for manufacturing processes, production systems, and design using Geometric Programming. The models capture the interconnections between manufacturing processes, production systems, and supply chain, and financial performance in a single mathematical framework. Trade-offs across disparate disciplines are easily quantified. Sensitivities are obtained without requiring simulations. Parameter uncertainties are propagated to understand risks to performance, making this approach particularly suited to composite manufacturing. In a case study, we show how major contributors to manufacturing cost are estimated with minimal design data. We present an example trade study for different composite technologies in manufacturing fuselage sections, showing how different manufacturing processes affect production system design and part costs. Sensitivities are used to show the major cost-drivers from design inputs.

References: 1. Hueber, C., Horejsi, K. & Schledjewski, R. ""Review of cost estimation: methods and models for aerospace composite manufacturing."" Advanced Manufacturing: Polymer & Composites Science 2, 1–13 (2016). 2. Curran, R. et al. ""Modelling of aircraft manufacturing cost at the concept stage."" The International Journal of Advanced Manufacturing Technology 31, 407–420 (2006). 3. Boyd, S., Kim, S.-J., Vandenberghe, L. & Hassibi, A. ""A tutorial on geometric programming."" Optimization and engineering 8, 67 (2007). 4. Seong, K., Narasimhan, R. & Cioffi, J. M. ""Queue proportional scheduling via geometric programming in fading broadcast channels."" IEEE Journal on Selected Areas in Communications 24, 1593–1602 (2006). 5. Abbas, W., Perelman, L. S., Amin, S. & Koutsoukos, X. ""An Efficient Approach to Fault Identification in Urban Water Networks Using Multi-Level Sensing."" Proceedings of the 2Nd ACM International Conference on Embedded Systems for Energy-Efficient Built Environments 147–156 (ACM, 2015). doi:10.1145/2821650.2821666 6. Hoburg, W. & Abbeel, P. ""Geometric programming for aircraft design optimization."" AIAA Journal (2014). 7. Little, J. D. ""A proof for the queuing formula: L= λ W."" Operations research 9, 383–387 (1961). 8. Ilcewicz, L. B. et al. ""Cost Optimization Software for Transport Aircraft Design Evaluation (COSTADE)—Design Cost Methods [CR-4737]."" (1996). 9. Overview of Vacuum-Assisted Resin Transfer Molding Processing. (US Department of Transportation, Federal Aviation Administration, 2013).

Conference: SAMPE 2019 - Charlotte, NC

Publication Date: 2019/05/20

SKU: TP19--1599

Pages: 14

Price: FREE

Get This Paper