Abstract
This paper contains a number of MINLP formulations for the preliminary design of a multiproduct batch plant. The inherent flexibility of a batch plant leads to different formulations depending on which aspects we take into account. The formulations include parallel equipment in different configurations, intermediate storage, variable production requirements, multiplant production, discrete equipment sizes and allowing the processing time to be a function of batch size. A task structure synthesis formulation is also presented. The examples are solved with DICOPT++ and the different formulations are coded in GAMS. The resulting solutions (plants) have different objective functions (Costs) and structure depending on the formulation used. Solution times vary significantly in the different formulations.
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
D.B. Birewar and I.E. Grossmann. Efficient optimization Algorithms for Zero-Wait Scheduling of Multiproduct Batch Plants. Ind. Eng. Chem. Res., 28: 1333–1345, 1989.
D.B. Birewar and I.E. Grossmann. Simultaneous Production Planning and Scheduling in Multiproduct Batch Plants. Ind. Eng. Chem. Res., 29: 570–580, 1990.
D.B. Birewar and I.E. Grossmann, Simultaneous Synthesis, Sizing and Scheduling of Multiproduct Batch Plants. Ind. Eng. Chem. Res., 29: 2242–2251, 1990.
D.B. Birewar and I.E. Grossmann. Incorporating Scheduling in the Optimal Design of Multiproduct Batch Plants. Computers and Chem. Eng., 13(1/2): 141–161, 1989.
G.A. Coulman, Algorithm for Optimal Scheduling and Revised Formulation of Batch Plant Design. Ind. Eng. Chem. Res., 28: 553, 1989.
M.A. Duran and I.E. Grossmann. A Mixed-Integer Nonlinear Programming Algorithm for Process System Synthesis. AIChE J., 32(4): 592–606, 1986.
A. Espana, M. Lazard, J.M. Martinez, and L. Puigjaner. Efficient and Simplified Solution to the Predesign Problem of Multiproduct Plants. Computers and Chem. Eng., 13: 163–174, 1989.
R.S. Garfinkel and G.L. Nemhauser. Integer Programming. Wiley: New York, 1972.
I.E. Grossmann and R.W.H. Sargent. Optimal Design of Multipurpose Chemical Plants. Ind. Eng. Chem. Process. Des. Dev.,18(2), 1979.
I.A. Karimi and G.V. Reklaitis. Intermediate Storage in Noncontinuous Processes Involving Stages of Parallel Units. AJChE J., 31: 44, 1985.
J. Klossner and D.W.T. Rippin. Combinatorial Problems in the Design of Multiproduct Batch Plant - Extension to Multiplant and Partly Parallel Operation. Presented at the AIChE Annual Meeting, San Francisco, Nov. 1984.
F.C. Knopf, M.R. Okos, and G.V. Reklaitis. Optimal Design of Batch/Semicontinuous Processes. Ind. Eng. Chem. Process. Des. Dev.,21: 79–86, 1982.
G.R. Kocis and I.E. Grossmann. Global Optimization of Nonconvex Mixed-Integer Nonlinear Programming (MINLP) Problems in Process Synthesis. Ind. Eng. Chem. Res.,27: 1407–1421, 1988.
G.R. Kocis and I.E. Grossmann. Relaxation Strategy for the Structural Optimization of Process Flowsheets. Ind. Eng. Chem. Res., 26: 1869–1880, 1987.
YR. Loonkar and J.D. Robinson. Minimization of Capital Investments for Batch Processes. Ind. Eng. Chem. Process. Des. Dev.,9(4), 1970.
A.K. Modi and I.A. Karimi. Design of Multiproduct Batch Processes with Finite Intermediate Storage. Computers and Chem. Eng., 13(1/2): 127–139, 1989.
G.E. Pales and C.A. Floudas. APROS: Algorithmic Development Methodology for Discrete-Continuous Optimization Problems. Operations Research, 37(6): 902–915, 1989.
A.N. Patel, R.S.H. Mah, and I.A. Karimi. Preliminary Design of Multiproduct Non-Continuous Plants Using Simulated Annealing. Computers and Chem. Eng., 1991.
D.E. Ravemark and D.W. T. Rippin. Structure and Equipment for Multiproduct Batch Production. Presented at AIChE 1991 Annual Meeting,Nov. 1991.
D.W. T. Rippin. Design and Operation of Multiproduct and Multipurpose Batch Chemical Plants - An Analysis of Problem Structure. Computers and Chem. Eng., 7(4): 463–481, 1983.
J.D. Robinson and Y.R. Loonkar. Minimizing Capital Investments for Multiproduct Batchplants. Process Technol. Int., 17(11), 1972.
H.E. Salomone and O.A. Iribarren. Posynomial Modeling of Batch Plants: A Procedure to Include Process Decision Variables. Computers and Chem. Eng., 16(3): 173–184, 1992.
R.E. Sparrow, G.I. Forder, and D.W.T. Rippin. The Choise of Equipment Sizes for Multiproduct Batch Plants. Heuristics vs. Branch and Bound. Ind. Eng. Chem. Process. Des. Dev.,14(3), 1975.
I. Suhami and R.S.H. Mah. Optimal Design of Multipurpose Batch Plants. Ind. Eng. Chem. Process. Des. Dev., 21:94–100, 1982.
T. Takamatsu, I. Hashimoto, and S. Hasebe. Optimal Design and Operation of a Batch Process with Intermediate Storage Tanks. Ind. Eng. Chem. Process. Des. Dev., 21: 431–440, 1982.
J. Vaselenak, I.E. Grossmann, and A.W. Westerberg. Optimal Retrofit Design of Multiproduct Batch Plants. Ind. Eng. Chem. Res., 26: 718–726, 1987.
J. Wiswanathan and I.E. Grossmann. A Combined Penalty Function and Outer-Approximation Method for MAINLY Optimization. Computers and Chem. Eng., 14(7): 769–782, 1990.
N.C. Yeh and G.V. Reklaitis. Synthesis and Sizing of Batch/Semicontinuous Processes: Single Product Plants. Computers and Chem. Eng., 11(6): 639–654, 1987.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ravemark, D.E., Rippin, D.W.T. (1996). Predesigning a Multiproduct Batch Plant by Mathematical Programming. In: Reklaitis, G.V., Sunol, A.K., Rippin, D.W.T., Hortaçsu, Ö. (eds) Batch Processing Systems Engineering. NATO ASI Series, vol 143. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60972-5_7
Download citation
DOI: https://doi.org/10.1007/978-3-642-60972-5_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64635-5
Online ISBN: 978-3-642-60972-5
eBook Packages: Springer Book Archive