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.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
Aris, R., Rudd, D. F., andAmundson, N. R.,On Optimum Cross-Current Extraction, Chemical Engineering Science, Vol. 12, No. 2, 1960.
Lee, E. S.,Optimization by a Gradient Technique, Industrial and Engineering Chemistry Fundamentals, Vol. 3, No. 4, 1964.
Oi, K., Sayama, H., andTakamatsu, T.,Some Considerations of a Class of Multistage Allocation Problems, Journal of Chemical Engineering of Japan, Vol. 7, No. 4, 1974.
Oi, K., Sayama, H., andTakamatsu, T.,Multimodality Analysis of a Class of Multistage Allocation Problems, Journal of Optimization Theory and Applications, Vol. 25, No. 1, 1978.
Cohon, J. L.,Multiobjective Programming and Planning, Academic Press, New York, New York, 1978.
Wilde, D. J.,Minimum Cost Design of a Multimodal Fluidized Reactor-Heater System Involving an Exponential Function Inside an Integral Equation, AIChE Journal, Vol. 20, No. 5, 1974.
Wilde, D. J.,Global Minimization of a Cooled Reactor by Using a Posynomial Lower Bounding Function, AIChE Journal, Vol. 22, No. 4, 1976.
Chen, H. T., andFan, L. T.,Multiple Minima in a Fluidized Reactor-Heater System, AIChE Journal, Vol. 22, No. 4, 1976.
Communicated by J. E. Bailey
About this article
Cite this article
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
- Noninferior set
- multicriteria optimization problems
- extraction processes
- fluidized reactors