Abstract
The main objective of this work is to put forward a chance constrained mixed-integer nonlinear fuzzy programming model for refinery short-term crude oil scheduling problem under demands uncertainty of distillation units. The model studied has characteristics of discrete events and continuous events coexistence, multistage, multiproduct, uncertainty and large scale. Firstly, the model is transformed into its equivalent fuzzy mixed-integer linear programming model by using the method of Quesada & Grossmann [5]. Then the fuzzy equivalent model is changed into its crisp MILP model relies on the theory presented by Liu & Iwamura [12] for the first time in this area. Finally, the crisp MILP model is solved in LINGO 8.0 based on time discretization. A case study which has 265 continuous variables, 68 binary variables and 318 constraints is effectively solved with the proposed solution approach.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Shah, N.: Mathematical programming technique for crude oil scheduling. Computers and Chemical Engineering 20, S1227–S1232 (1996)
Lee, H., Pinto, J.M., Grossmann, I.E., Park, S.: Mixed-integer linear programming model for refinery short-term scheduling of crude oil unloading with inventory management. Industrial & Engineering Chemistry Research 35, 1630–1641 (1996)
Jia, Z., Ierapetritou, M., Kelly, J.D.: Refinery short-term scheduling using continuous time formulation: Crude-oil operations. Industrial & Engineering Chemistry Research 42, 3085–3097 (2003)
Pinto, J.M., Joly, M., Moro, L.F.L.: Planning and scheduling models for refinery operations. Computers and Chemical Engineering 24, 2259–2276 (2000)
Quesada, I., Grossmann, I.E.: Global optimization of bilinear process networks with multicomponent flows. Computers and Chemical Engineering 19, 1219–1242 (1995)
Liu, B.D., Zhao, R.Q., Wang, G.: Uncertain Programming with Applications. Tsinghua University Press (2003) (in Chinese)
Zimmermann, H.J.: Fuzzy set theory and its application. Kluwer Academic Publishers, Boston (1991)
Xie, J.X., Xue, Y.: Optimization Modeling and LINDO/LINGO Software. Tsinghua University Press (2005) (in Chinese)
Liu, M.L., Sahinidis, N.V.: Optimization in process planning under uncertainty. Industrial & Engineering Chemistry Research 35, 4154–4165 (1996)
Liu, M.L., Sahinidis, N.V.: Process planning in a fuzzy environment. European Journal of Operational Research 100, 142–169 (1997b)
Sahinidis, N.V.: Optimization under uncertainty: state-of-the-art and opportunities. Computers and Chemical Engineering 28, 971–983 (2004)
Liu, B.D., Iwamura, K.: Chance constrained programming with fuzzy parameters. Fuzzy Sets and Systems 94, 227–237 (1998)
Bellman, R.E., Zadeh, L.A.: Decision-making in a fuzzy environment. Management Science 17, 141–161 (1970)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Cao, C., Gu, X. (2006). Chance Constrained Programming with Fuzzy Parameters for Refinery Crude Oil Scheduling Problem. In: Wang, L., Jiao, L., Shi, G., Li, X., Liu, J. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2006. Lecture Notes in Computer Science(), vol 4223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11881599_125
Download citation
DOI: https://doi.org/10.1007/11881599_125
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-45916-3
Online ISBN: 978-3-540-45917-0
eBook Packages: Computer ScienceComputer Science (R0)