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Interior analysis of the green product mix solution


  • Wellington, John F.
  • Guiffrida, Alfred L.
  • Lewis, Stephen A.


When modeling optimal product mix under emission restrictions produces a solution with unacceptable level of profit, analyst is moved to investigate the cause(s). Interior analysis (IA) is proposed for this purpose. With IA, analyst can investigate the impact of accommodating emission controls in step-by-step one-at-a-time manner and in doing so track how profit and other important features of product mix degrade and to which emission control enforcements its diminution may be attributed. In this way, analyst can assist manager in identifying implementation strategies. Although IA is presented within context of a linear programming formulation of the green product mix problem, its methodology may be applied to other modeling frameworks. Quantity dependent penalty rates and transformations of emissions to forms with or without economic value are included in the modeling and illustrations of IA.

Suggested Citation

  • Wellington, John F. & Guiffrida, Alfred L. & Lewis, Stephen A., 2014. "Interior analysis of the green product mix solution," European Journal of Operational Research, Elsevier, vol. 237(3), pages 966-974.
  • Handle: RePEc:eee:ejores:v:237:y:2014:i:3:p:966-974
    DOI: 10.1016/j.ejor.2014.02.029

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    References listed on IDEAS

    1. Rong, Aiying & Lahdelma, Risto, 2007. "CO2 emissions trading planning in combined heat and power production via multi-period stochastic optimization," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1874-1895, February.
    2. Daniel, S. E. & Diakoulaki, D. C. & Pappis, C. P., 1997. "Operations research and environmental planning," European Journal of Operational Research, Elsevier, vol. 102(2), pages 248-263, October.
    3. Kee, Robert & Schmidt, Charles, 2000. "A comparative analysis of utilizing activity-based costing and the theory of constraints for making product-mix decisions," International Journal of Production Economics, Elsevier, vol. 63(1), pages 1-17, January.
    4. Jaehn, Florian & Letmathe, Peter, 2010. "The emissions trading paradox," European Journal of Operational Research, Elsevier, vol. 202(1), pages 248-254, April.
    5. Penkuhn, T. & Spengler, Th. & Puchert, H. & Rentz, O., 1997. "Environmental integrated production planning for the ammonia synthesis," European Journal of Operational Research, Elsevier, vol. 97(2), pages 327-336, March.
    6. Kunsch, P. L. & Springael, J. & Brans, J. -P., 2004. "The zero-emission certificates: A novel CO2-pollution reduction instrument applied to the electricity market," European Journal of Operational Research, Elsevier, vol. 153(2), pages 386-399, March.
    7. Tsai, Wen-Hsien & Lin, Tsong-Ming, 1990. "Nonlinear multiproduct CVP analysis with 0-1 mixed integer programming," Engineering Costs and Production Economics, Elsevier, vol. 20(1), pages 81-91, July.
    8. Radulescu, Marius & Radulescu, Sorin & Radulescu, Constanta Zoie, 2009. "Sustainable production technologies which take into account environmental constraints," European Journal of Operational Research, Elsevier, vol. 193(3), pages 730-740, March.
    9. Letmathe, Peter & Balakrishnan, Nagraj, 2005. "Environmental considerations on the optimal product mix," European Journal of Operational Research, Elsevier, vol. 167(2), pages 398-412, December.
    10. Hasuike, Takashi & Ishii, Hiroaki, 2009. "On flexible product-mix decision problems under randomness and fuzziness," Omega, Elsevier, vol. 37(4), pages 770-787, August.
    11. Plenert, Gerhard, 1993. "Optimizing theory of constraints when multiple constrained resources exist," European Journal of Operational Research, Elsevier, vol. 70(1), pages 126-133, October.
    12. Bhattacharya, Arijit & Vasant, Pandian, 2007. "Soft-sensing of level of satisfaction in TOC product-mix decision heuristic using robust fuzzy-LP," European Journal of Operational Research, Elsevier, vol. 177(1), pages 55-70, February.
    13. Möllersten, K. & Yan, J. & Westermark, M., 2003. "Potential and cost-effectiveness of CO2 reductions through energy measures in Swedish pulp and paper mills," Energy, Elsevier, vol. 28(7), pages 691-710.
    14. Kunsch, P. & Springael, J., 2008. "Simulation with system dynamics and fuzzy reasoning of a tax policy to reduce CO2 emissions in the residential sector," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1285-1299, March.
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