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Determining optimal laser-beam cutting equipment investment through a robust optimization modeling approach
Juan Feller1, Alejandro F Mac Cawley1, Jorge A Ramos-Grez2
1Department of Industrial and Systems Engineering, Pontificia Universidad Católica de Chile, Santiago, Chile.
This study presents a robust model for optimizing investment in advanced manufacturing technologies like laser cutting. The model enhances decision-making under demand uncertainty, potentially increasing company profits.
Area of Science:
- Operations Research
- Manufacturing Engineering
- Industrial Engineering
Background:
- Acquiring advanced manufacturing technologies (AMT) involves significant investment and risk.
- Optimizing equipment investment and production planning is crucial for profitability.
Purpose of the Study:
- To develop a robust model for optimizing equipment investment decisions in advanced manufacturing.
- To determine an optimal production plan considering technical constraints and demand uncertainty.
Main Methods:
- A linear investment model was developed using historical demand and laser cutting process parameters.
- The model was transformed into a robust optimization model to account for demand uncertainty.
- An optimal production plan was determined assuming normal distribution of demand.
Main Results:
- The robust optimization model effectively addresses demand uncertainty in investment decisions.
- A case study on Laser-Beam Cutting (LBC) services validated the model's effectiveness and solution robustness.
- The optimal robust solution demonstrated a potential increase in company profits by 6.4%.
Conclusions:
- The proposed robust model provides a reliable framework for investment and production planning in advanced manufacturing.
- Integrating demand uncertainty significantly improves the decision-making process for AMT acquisition.
- The model offers a practical approach to enhance profitability in laser cutting services.
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