Annals of Operations Research

, Volume 248, Issue 1–2, pp 515–529 | Cite as

Robust DEA to assess the reliability of methyl methacrylate-hardened hybrid poplar wood

  • Dexiang Wu
  • WeiDan DingEmail author
  • Ahmed KoubaaEmail author
  • Abdelkader Chaala
  • CuiCui Luo
Original Paper


We transformed a data envelopment analysis (DEA) optimization model into a robust second-order cone equivalent to immunize against output perturbation in an uncertainty set. The robust DEA framework was then used to assess the effect of a wood hardening treatment using methyl methacrylate (MMA) on selected hybrid poplar clones. Because the performance of MMA-hardened hybrid poplar clones varies across clones, ranking hardened clones is crucial for developing hardening treatments for specific industrial applications. The numerical results demonstrate that the hardening treatment can be optimized by applying the proposed DEA framework to select the best hybrid poplar clone types and the optimal amount of impregnated chemicals.


Hybrid poplar Hardening Methyl methacrylate (MMA) Data envelopment analysis (DEA) Uncertainty Robust optimization 



We greatly appreciate the financial support provided by the Canada Research Chair Program and the Ministere du developpement economique, de l’innovation et de l’exportation du Quebec (MDEIE), and technical support from the Service de Recherche et d’expertise en Transformation des produits forestiers (SEREX).

This project is funded by the National Science Foundation of China (Grant# 71471055 and 91546102), and Marianne and Marcus Wallenberg Foundation (Grant# MMW 2015.0007).


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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Department of Mechanical and Industrial EngineeringUniversity of TorontoTorontoCanada
  2. 2.Stockholm Business SchoolStockholm UniversityStockholmSweden
  3. 3.Chaire de recherche du Canada sur la valorisation, la caracterisation et la transformation du boisUniversity du Quebec en Abitibi-TemiscamingueQuebecCanada
  4. 4.Service de Recherche et d’expertise en Transformation des produits forestiers (SEREX)QuébecCanada
  5. 5.Department of MathematicsUniversity of TorontoTorontoCanada

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