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A hybrid genetic algorithm for multiobjective problems with activity analysis-based local search

Author

Listed:
  • Whittaker, Gerald
  • Confesor Jr., Remegio
  • Griffith, Stephen M.
  • Färe, Rolf
  • Grosskopf, Shawna
  • Steiner, Jeffrey J.
  • Mueller-Warrant, George W.
  • Banowetz, Gary M.

Abstract

The objective of this research was the development of a method that integrated an activity analysis model of profits from production with a biophysical model, and included the capacity for optimization over multiple objectives. We specified a hybrid genetic algorithm using activity analysis as a local search method, and NSGA-II for calculation of the multiple objective Pareto optimal set. We describe a parallel computing approach to computation of the genetic algorithm, and apply the algorithm to evaluation of an input tax to regulate pollution from agricultural production.

Suggested Citation

  • Whittaker, Gerald & Confesor Jr., Remegio & Griffith, Stephen M. & Färe, Rolf & Grosskopf, Shawna & Steiner, Jeffrey J. & Mueller-Warrant, George W. & Banowetz, Gary M., 2009. "A hybrid genetic algorithm for multiobjective problems with activity analysis-based local search," European Journal of Operational Research, Elsevier, vol. 193(1), pages 195-203, February.
  • Handle: RePEc:eee:ejores:v:193:y:2009:i:1:p:195-203
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    References listed on IDEAS

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    1. Tarja Joro & Pekka Korhonen & Jyrki Wallenius, 1998. "Structural Comparison of Data Envelopment Analysis and Multiple Objective Linear Programming," Management Science, INFORMS, vol. 44(7), pages 962-970, July.
    2. Li, Xiao-Bai & Reeves, Gary R., 1999. "A multiple criteria approach to data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 115(3), pages 507-517, June.
    3. Runar Brännlund & Yangho Chung & Rolf Färe & Shawna Grosskopf, 1998. "Emissions Trading and Profitability: The Swedish Pulp and Paper Industry," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 12(3), pages 345-356, October.
    4. Merja Halme & Tarja Joro & Pekka Korhonen & Seppo Salo & Jyrki Wallenius, 1999. "A Value Efficiency Approach to Incorporating Preference Information in Data Envelopment Analysis," Management Science, INFORMS, vol. 45(1), pages 103-115, January.
    5. Soloveitchik, David & Ben-Aderet, Nissim & Grinman, Mira & Lotov, Alexander, 2002. "Multiobjective optimization and marginal pollution abatement cost in the electricity sector - An Israeli case study," European Journal of Operational Research, Elsevier, vol. 140(3), pages 571-583, August.
    6. Rolf Färe & Shawna Grosskopf, 2002. "Two Perspectives on DEA: Unveiling the Link between CCR and Shephard," Journal of Productivity Analysis, Springer, vol. 17(1), pages 41-47, January.
    7. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    8. Rolf Fare & Shawna Grosskopf & Gerald Whittaker, 2004. "On Value Efficiency and Data Envelopment Analysis," Indian Economic Review, Department of Economics, Delhi School of Economics, vol. 39(1), pages 81-88, January.
    9. Pekka Korhonen & Mikko Syrjänen, 2004. "Resource Allocation Based on Efficiency Analysis," Management Science, INFORMS, vol. 50(8), pages 1134-1144, August.
    10. Yun, Y. B. & Nakayama, H. & Tanino, T., 2004. "A generalized model for data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 157(1), pages 87-105, August.
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    Citations

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    Cited by:

    1. Long, Jiancheng & Szeto, W.Y. & Huang, Hai-Jun, 2014. "A bi-objective turning restriction design problem in urban road networks," European Journal of Operational Research, Elsevier, vol. 237(2), pages 426-439.
    2. Lin, Rung-Chuan & Sir, Mustafa Y. & Pasupathy, Kalyan S., 2013. "Multi-objective simulation optimization using data envelopment analysis and genetic algorithm: Specific application to determining optimal resource levels in surgical services," Omega, Elsevier, vol. 41(5), pages 881-892.
    3. repec:eee:ecomod:v:261-262:y:2013:i::p:58-73 is not listed on IDEAS
    4. Whittaker, Gerald & Färe, Rolf & Grosskopf, Shawna & Barnhart, Bradley & Bostian, Moriah & Mueller-Warrant, George & Griffith, Stephen, 2017. "Spatial targeting of agri-environmental policy using bilevel evolutionary optimization," Omega, Elsevier, vol. 66(PA), pages 15-27.
    5. Valcu, Adriana Mihaela, 2013. "Agricultural nonpoint source pollution and water quality trading: empirical analysis under imperfect cost information and measurement error," ISU General Staff Papers 201301010800004451, Iowa State University, Department of Economics.

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