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Some pathological configurations of noninferior set appearing in multicriteria optimization problems of chemical processes

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Abstract

The noninferior set of multicriteria optimization problems may sometimes include some inactive subset in which a scalar-valued objective function of weighted-mean type cannot be minimal. It is shown that there exists such an inactive noninferior subset within the noninferior set of two multicriteria optimization problems concerning a cross-current multistage extraction process and a fluidized reactor-heater system.

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Communicated by J. E. Bailey

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Kitagawa, H., Watanabe, N., Nishimura, Y. et al. Some pathological configurations of noninferior set appearing in multicriteria optimization problems of chemical processes. J Optim Theory Appl 38, 541–563 (1982). https://doi.org/10.1007/BF00934487

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Key Words

  • Noninferior set
  • multicriteria optimization problems
  • extraction processes
  • fluidized reactors