Abstract
In this study, we have introduced a fuzzy decision-making approach to design a multi-objective optimal design problem of a multiproduct batch chemical plant. The design of such plants necessary involves how equipment may be utilized, which means that plant scheduling and production must form an integral part of the design problem. This work proposes an alternative treatment of the imprecision (demands) by using fuzzy concepts. In this study, we introduce a new approach to the design problem based on a multi-objective genetic algorithm, taking into account simultaneously four criteria, i.e. maximization of the revenue and minimization of the investment cost, the operation cost and the total production time. The genetic algorithm approach was chosen since it is particularly well-suited to take into account the arithmetic of fuzzy numbers.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Aguilar Lasserre, A.A., et al.: Modélisation des imprécisions de la demande en conception optimale multicritère d’ateliers discontinus. In: Proceedings of the SFGP (Société Français de Génie de Procédés), Toulouse, France (2005)
Aguilar-Lasserre, A.A., et al.: Enhanced Genetic Algorithm-based Fuzzy Multiobjective Strategy to Multiproduct Batch Plant Design. In: Proceedings of the International Fuzzy Systems Association world congress, Cancun, México, June 18-21 (2007)
Cao, D., Yuan, X.: Optimal design of batch plants with uncertain demands considering switch over of operating modes of parallel units. Ind. Eng. Chem., 4616–4625 (2002)
Charnes, A., Cooper, W.: Chance constrained programming. Mgmt Sci., 73–78 (1959)
Grossmann, I.E., Sargent, R.W.H.: Optimum design of multipurpose chemical plants. Industrial Engineering and Chemical Process Design and Development 18(2), 343–348 (1979)
Harding, S.T., Floudas, C.A.: Global optimization in multiproduct and multipurposebatch design under uncertainty. Industrial Engineering and Chemistry Research 36, 1644 (1997)
Huang, H., Wang, W.F.: Fuzzy decision-making design of chemical plant using mixed-integer hybrid differential evolution. Computers & Chemical Engineering 26(12, 15), 1649–1660 (2002)
Ierapetritou, M.G., Pistikopolous, E.N.: Batch plant design and operations under demand uncertainty. Industrial Engineering and Chemistry Research 35, 772 (1996)
Knopf, F.C., Okos, M.R., Reklaitis, G.V.: Optimal design of batch/semicontinuous processes. Industrial Engineering and Chemical Process Design and Development 21(1), 79–86 (1982)
Liou, T.S., Wang, M.J.: Ranking fuzzy numbers with integral value. Fuzzy Sets System 50, 247 (1992)
Modi, A.K., Karimi, I.A.: Design of multiproduct batch processes with finite intermediate storage. Computer and Chemical Engineering 13, 127–138 (1989)
Montagna, J.M., Vecchietti, A.R., Iribarren, O.A., Pinto, J.M., Asenjo, J.A.: Optimal design of protein production plants with time and size factor process models. Biotechnology Programming 16, 228–237 (2000)
Patel, A.N., Mah, R.S.H., Karimi, I.A.: Preliminary design of multiproduct non-continuous plants using simulated annealing. Computers and Chemical Engineering 15(7), 451–469 (1991)
Petkov, S.V., Maranas, C.D.: Design of single-product campaign batch plants under demand uncertainty. AIChE Journal 44, 896 (1998)
Ponsich, A., et al.: About the Relevance of Mathematical Programming and Stochastic Optimisation Methods: Application to Optimal Batch Plant Design Problems. Escape 15 (2004)
Shah, N., Pantelides, C.C.: Design of multipurpose batch plants with uncertain production requirements. Ind. Eng. Chem. Res., 1325–1337 (1992)
Vajda, S.: Probabilistic Programming. Academic Press, London (1972)
Wang, C., Quan, H., Xu, X.: Optimal design of multiproduct batch chemical process using genetic algorithms. Industrial and Engineering Chemistry Research 35(10), 3560–3566 (1996)
Wang, C., Quan, H., Xu, X.: Optimal design of multiproduct batch chemical process using tabu search. Computers and Chemical Engineering 23(3), 427–437 (1999)
Wellons, H.S., Reklaitais, G.V.: The design of multiproduct batch plants under uncertainty with stage expansion. Computers chem. Engng. 13(1/2), 115–126 (1989)
Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning. Information Sciences 8(3), 199–249 (1975)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Aguilar-Lasserre, A.A., Cortes Robles, G., González Sánchez, B.E., González Huerta, M.A., Baez Senties, O. (2008). Optimal Design of Multiproduct Batch Plants under Imprecise Demand. In: Gelbukh, A., Morales, E.F. (eds) MICAI 2008: Advances in Artificial Intelligence. MICAI 2008. Lecture Notes in Computer Science(), vol 5317. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88636-5_40
Download citation
DOI: https://doi.org/10.1007/978-3-540-88636-5_40
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-88635-8
Online ISBN: 978-3-540-88636-5
eBook Packages: Computer ScienceComputer Science (R0)