A Solution Approach to the Design of Multi-period, Multipurpose Batch Plants

Daechul Cho

Korean Journal of Chemical Engineering, Vol.19, No.2, 197-205, March, 2002

DOI10.1007/BF02698402 Export Citation

A Solution Approach to the Design of Multi-period, Multipurpose Batch Plants

Daechul Cho^†

Division of Materials and Chemical Engineering, Soonchunhyang University, Asan 336-745, Korea

E-mail:

A deterministic model for multipurpose, multiperiod batch plants was presented in a linearized form to predict the future design according to the change of demand by using a modified Benders’ Decomposition. The OSL code offered by the IBM corporation as optimizer was employed for solving several example problems. The decomposition method was successful, showing remarkable reduction in the computing times as compared with those of the direct solution method. Also the heuristic used as a solution approach for the multiperiod model provided an efficient methodology to the block-structured problem by dividing the large overall problem into the manageable single period blocks.

Keywords:Multipurpose Batch Plant;Decomposition;Linearization;MILP;Multiperiod

[References]

Benders JF, Numer. Mathematik, 4, 238 (1962)
Che KW, Yeo YK, Kim MK, Korean J. Chem. Eng., 16(4), 462 (1999)
Geoffrion AM, J. Opt. Theo. Appl., 10(4), 237 (1972)
Grossmann IE, Sargent RWH, AIChE J., 24, 1021 (1978)
Grossmann IE, Sargent RWH, Ind. Eng. Chem. Process Des. Dev., 18(2), 343 (1979)
Jung SH, Lee IB, Yang DR, Chang KS, Korean J. Chem. Eng., 11(3), 162 (1994)
Kang MS, Kim IW, Park S, Korean J. Chem. Eng., 13(2), 159 (1996)
Lee B, "Optimal Scheduling of Batch Processes for Heat Integration," Ph.D. Thesis, Purdue University, W. Lafayette, IN (1992)
Nichida N, Ichikawa A, Tazaki E, Ind. Eng. Chem. Process Des. Dev., 13, 209 (1974)
Papageorgaki S, "Design of Multipurpose Batch Plants Using Mathematical Programming Techniques," Ph.D. Thesis, Purdue University, W. Lafayette, IN (1991)
Papageorgaki S, Reklaitis GV, Ind. Eng. Chem. Res., 29, 2054 (1990)
Papageorgaki S, Reklaitis GV, Ind. Eng. Chem. Res., 29, 2062 (1990)
Park SY, Park S, Korean J. Chem. Eng., 16(6), 745 (1999)
Reinhart HJU, Rippin DWT, "Design of Flexible Batch Chermical Plants," Presented at AIChE Spring National Meeting, New Orleans, LA (1986)
Reinhart HJU, Rippin DWT, "Design of Flexible Multiproduct Plants. A New Procedure for Optimal Equipment Sizing Under Uncertainty," Presented at AIChE Annual Meeting, New York (1987)
Straub DA, Grossmann IE, Comput. Chem. Eng., 14(9), 967 (1990)
Straub DA, Grossmann IE, Comput. Chem. Eng., 16, 69 (1992)
Voudouris VT, Grossmann IE, Ind. Eng. Chem. Res., 31, 1315 (1992)
Wen CY, Chang TM, Ind. Eng. Chem. Process Des. Dev., 7, 49 (1968)

[1] Benders JF, Numer. Mathematik, 4, 238 (1962)

[2] Che KW, Yeo YK, Kim MK, Korean J. Chem. Eng., 16(4), 462 (1999)

[3] Geoffrion AM, J. Opt. Theo. Appl., 10(4), 237 (1972)

[4] Grossmann IE, Sargent RWH, AIChE J., 24, 1021 (1978)

[5] Grossmann IE, Sargent RWH, Ind. Eng. Chem. Process Des. Dev., 18(2), 343 (1979)

[6] Jung SH, Lee IB, Yang DR, Chang KS, Korean J. Chem. Eng., 11(3), 162 (1994)

[7] Kang MS, Kim IW, Park S, Korean J. Chem. Eng., 13(2), 159 (1996)

[8] Lee B, "Optimal Scheduling of Batch Processes for Heat Integration," Ph.D. Thesis, Purdue University, W. Lafayette, IN (1992)

[9] Nichida N, Ichikawa A, Tazaki E, Ind. Eng. Chem. Process Des. Dev., 13, 209 (1974)

[10] Papageorgaki S, "Design of Multipurpose Batch Plants Using Mathematical Programming Techniques," Ph.D. Thesis, Purdue University, W. Lafayette, IN (1991)

[11] Papageorgaki S, Reklaitis GV, Ind. Eng. Chem. Res., 29, 2054 (1990)

[12] Papageorgaki S, Reklaitis GV, Ind. Eng. Chem. Res., 29, 2062 (1990)

[13] Park SY, Park S, Korean J. Chem. Eng., 16(6), 745 (1999)

[14] Reinhart HJU, Rippin DWT, "Design of Flexible Batch Chermical Plants," Presented at AIChE Spring National Meeting, New Orleans, LA (1986)

[15] Reinhart HJU, Rippin DWT, "Design of Flexible Multiproduct Plants. A New Procedure for Optimal Equipment Sizing Under Uncertainty," Presented at AIChE Annual Meeting, New York (1987)

[16] Straub DA, Grossmann IE, Comput. Chem. Eng., 14(9), 967 (1990)

[17] Straub DA, Grossmann IE, Comput. Chem. Eng., 16, 69 (1992)

[18] Voudouris VT, Grossmann IE, Ind. Eng. Chem. Res., 31, 1315 (1992)

[19] Wen CY, Chang TM, Ind. Eng. Chem. Process Des. Dev., 7, 49 (1968)