A Bilevel Decomposition Algorithm for Long-Range Planning of Process Networks

Industrial and Engineering Chemistry Research

Volumn 37, Issue 2, 1998, Pages 474-481

  Iyer, Ramaswamy R ^a   Grossmann, Ignacio E ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; MATHEMATICAL MODELS; PROBLEM SOLVING;

BILEVEL DECOMPOSITION ALGORITHMS;

PROCESS ENGINEERING;

EID: 0031996476     PISSN: 08885885     EISSN: None     Source Type: Journal    
DOI: 10.1021/ie970383i     Document Type: Article

References (19)

1. Brooke, A.; Kendrick, D.; Meeraus, A. GAMS: A User's Guide; Scientific Press: Palo Alto, CA, 1992.
2. Florian, M. K.; Lenstra, J. K.; Rinnooy Kan, A. H. G. Deterministic production planning: Algorithms and complexity. Manage. Sci. 1980, 26, 669.
3. Hiller, R. S. Stochastic programming approximation methods with application to multistage production planning. Ph.D. Thesis Dissertation, Operations Research Center, MIT, 1986.
4. Hirshfeld, D. S. Mathematical programming and planning, scheduling and control of process operations. Paper presented at the FOCAPO Conference, Park City, 1988.
5. Hooker, J. N.; Yan, H.; Grossmann, I. E.; Raman, R. Logic cuts for processing networks with fixed charges. Comput. Oper. Res. 1994, 21, 265-279.
6. Iyer, R. R.; Grossmann, I. E. Synthesis and Operational Planning of utility systems for Multiperiod Operation. Comput. Chem. Eng. 1998, in press.
7. Liu, M. L.; Sahinidis, N. V. Optimization of process planning under uncertainty. Ind. Eng. Chem. Res. 1996a, 35, 4154-4165.
8. Liu, M. L.; Sahinidis, N. V. Long range planning in the process industry. Comput. Oper. Res. 1996b, 23, 237-253.
9. Luss, H. Operations research and capacity expansion problems: a survey. Oper. Res. 1982, 30, 907.
10. Manne, A. S., Ed. Investments for capacity expansion; The MIT Press: Cambridge, MA, 1967.
11. Minoux, M. Network Synthesis and Dynamic Network Optimization. Ann. Discr. Math. 1987, 31, 283.
12. Nemhauser, G. L.; Wolsey, L. A. Integer and Combinatorial Optimization; Wiley: New York, 1988.
13. Noonan, F.; Giglio, R. J. Planning electric power generation: A nonlinear mixed integer model employing Benders decomposition. Manage. Sci. 1977, 23, 946.
14. Norton, L.; Grossmann, I. E. Strategic Planning model for complete process flexibility. Ind. Eng. Chem. Res. 1994, 33, 69.
15. Raman, R.; Grossmann, I. E. Relation between MILP modeling and logical inference for chemical process synthesis. Comput. Chem. Eng. 1991, 15, 73.
16. Raman, R.; Grossmann, I. E. Symbolic Integration of Logic in Mixed Integer Linear programming techniques for Process Synthesis. Comput. Chem. Eng. 1993, 17, 909.
17. Roberts, S. M. Dynamic Programming in Chemical Engineering and Process Control; Academic Press: New York, 1964.
18. Sahinidis, N. V.; Grossmann, I. E. Reformulation of Multiperiod Optimization model for long range planning in the chemical industry. Comput. Chem. Eng. 1991, 15, 255.
19. Sahinidis, N. V.; Grossmann, I. E.; Fornari, R. E.; Chathrathi, M. Optimization model for Long range planning in the chemical industry. Comput. Chem. Eng. 1989, 13, 1049.