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Volumn 38, Issue 10, 1999, Pages 3976-3987

Algorithms for the solution of multiparametric mixed-integer nonlinear optimization problems

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; INTEGER PROGRAMMING; ITERATIVE METHODS; MATHEMATICAL MODELS; NONLINEAR PROGRAMMING; PROBLEM SOLVING;

EID: 0033494781     PISSN: 08885885     EISSN: None     Source Type: Journal    
DOI: 10.1021/ie980792u     Document Type: Article
Times cited : (101)

References (70)
  • 1
    • 0003199416 scopus 로고
    • MINLP optimization strategies and algorithms for process synthesis
    • Siirola, J. J., Grossmann, I. E., Stephanopoulos, G., Eds.; CACHE, Elsevier: New York
    • Grossmann, I. E. MINLP optimization strategies and algorithms for process synthesis. In Proceedings of the 3rd. International Conference on Foundations of Computer-Aided Process Design; Siirola, J. J., Grossmann, I. E., Stephanopoulos, G., Eds.; CACHE, Elsevier: New York, 1990.
    • (1990) Proceedings of the 3rd. International Conference on Foundations of Computer-aided Process Design
    • Grossmann, I.E.1
  • 4
    • 0020907535 scopus 로고
    • A structural optimization approach in process synthesis. Part I: Utility systems
    • Papoulias, S.; Grossmann, I. E. A structural optimization approach in process synthesis. Part I: Utility systems. Comput. Chem. Eng. 1983, 7 (6), 695.
    • (1983) Comput. Chem. Eng. , vol.7 , Issue.6 , pp. 695
    • Papoulias, S.1    Grossmann, I.E.2
  • 5
    • 0020935909 scopus 로고
    • Synthesis of heat exchange networks having restricted matches using transportation problem formulations
    • Cerdá, J.; Westerberg, A. W. Synthesis of heat exchange networks having restricted matches using transportation problem formulations. Chem. Eng. Sci. 1983, 38, 1723.
    • (1983) Chem. Eng. Sci. , vol.38 , pp. 1723
    • Cerdá, J.1    Westerberg, A.W.2
  • 6
    • 0024755361 scopus 로고
    • Strategies for overcoming uncertainties in heat exchanger network synthesis
    • Floudas, C. A.; Ciric, A. R. Strategies for overcoming uncertainties in heat exchanger network synthesis. Comput. Chem. Eng. 1989, 13 (10), 1133.
    • (1989) Comput. Chem. Eng. , vol.13 , Issue.10 , pp. 1133
    • Floudas, C.A.1    Ciric, A.R.2
  • 7
    • 0025498795 scopus 로고
    • Simultaneous optimization models for heat integration I: Energy and area targeting
    • Yee, T. F.; Grossmann, I. E.; Kravanja, Z. Simultaneous optimization models for heat integration I: Energy and area targeting. Comput. Chem. Eng. 1990, 14 (10), 1151.
    • (1990) Comput. Chem. Eng. , vol.14 , Issue.10 , pp. 1151
    • Yee, T.F.1    Grossmann, I.E.2    Kravanja, Z.3
  • 8
    • 0025513002 scopus 로고
    • Simultaneous optimization models for heat integration III: Synthesis of heat exchanger networks
    • Yee, T. F.; Grossmann, I. E.; Kravanja, Z. Simultaneous optimization models for heat integration III: Synthesis of heat exchanger networks. Comput. Chem. Eng. 1990, 14 (10), 1185.
    • (1990) Comput. Chem. Eng. , vol.14 , Issue.10 , pp. 1185
    • Yee, T.F.1    Grossmann, I.E.2    Kravanja, Z.3
  • 9
    • 0025496615 scopus 로고
    • Simultaneous optimization models for heat integration II: Synthesis of heat exchanger networks
    • Yee, T. F.; Grossmann, I. E. Simultaneous optimization models for heat integration II: Synthesis of heat exchanger networks. Comput. Chem. Eng. 1990, 14 (10), 1165.
    • (1990) Comput. Chem. Eng. , vol.14 , Issue.10 , pp. 1165
    • Yee, T.F.1    Grossmann, I.E.2
  • 10
    • 0022029521 scopus 로고
    • A simple synthesis method based on utility bounding for heat-integrated distillation sequences
    • Andrecovich, M. J.; Westerberg, A. W. A simple synthesis method based on utility bounding for heat-integrated distillation sequences. AIChE J. 1985, 31 (3), 363.
    • (1985) AIChE J. , vol.31 , Issue.3 , pp. 363
    • Andrecovich, M.J.1    Westerberg, A.W.2
  • 11
    • 0023331112 scopus 로고
    • Separation synthesis of multicomponent feed streams into multicomponent product streams
    • Floudas, C. A. Separation synthesis of multicomponent feed streams into multicomponent product streams. AIChE J. 1987, 33 540.
    • (1987) AIChE J. , vol.33 , pp. 540
    • Floudas, C.A.1
  • 12
    • 0023588752 scopus 로고
    • An algorithmic procedure for the synthesis of distillation sequences with bypass
    • Wehe, R. R.; Westerberg, A. W. An algorithmic procedure for the synthesis of distillation sequences with bypass. Comput. Chem. Eng. 1987, 11 (6), 619.
    • (1987) Comput. Chem. Eng. , vol.11 , Issue.6 , pp. 619
    • Wehe, R.R.1    Westerberg, A.W.2
  • 13
    • 0024027503 scopus 로고
    • A mixed-integer nonlinear programming formulation for the synthesis of heat-integrated distillation sequences
    • Floudas, C. A.; Paules, G. E., IV. A mixed-integer nonlinear programming formulation for the synthesis of heat-integrated distillation sequences. Comput. Chem. Eng. 1989, 13 (6), 531.
    • (1989) Comput. Chem. Eng. , vol.13 , Issue.6 , pp. 531
    • Floudas, C.A.1    Paules G.E. IV2
  • 14
    • 0025443760 scopus 로고
    • Synthesis of general distillation sequences-nonsharp separations
    • Aggarwal, A.; Floudas, C. A. Synthesis of general distillation sequences-nonsharp separations. Comput. Chem. Eng. 1990, 14 (6), 631.
    • (1990) Comput. Chem. Eng. , vol.14 , Issue.6 , pp. 631
    • Aggarwal, A.1    Floudas, C.A.2
  • 15
    • 0027657712 scopus 로고
    • An alternate MINLP model for finding the number of trays required for a specified separation objective
    • Viswanathan, J.; Grossmann, I. E. An alternate MINLP model for finding the number of trays required for a specified separation objective. Comput. Chem. Eng. 1993, 17, 949.
    • (1993) Comput. Chem. Eng. , vol.17 , pp. 949
    • Viswanathan, J.1    Grossmann, I.E.2
  • 16
    • 0027697225 scopus 로고
    • Optimal feed locations and number of trays for distillation columns with multiple feeds
    • Viswanathan, J.; Grossmann, I. E. Optimal feed locations and number of trays for distillation columns with multiple feeds. Ind. Eng. Chem. Res. 1993, 32, 2942.
    • (1993) Ind. Eng. Chem. Res. , vol.32 , pp. 2942
    • Viswanathan, J.1    Grossmann, I.E.2
  • 17
    • 0025075578 scopus 로고
    • A superstructured based approach to chemical reactor networks synthesis
    • Achenie, L. K.; Biegler, L. T. A superstructured based approach to chemical reactor networks synthesis. Comput. Chem. Eng. 1990, 14 (1), 23.
    • (1990) Comput. Chem. Eng. , vol.14 , Issue.1 , pp. 23
    • Achenie, L.K.1    Biegler, L.T.2
  • 18
    • 0025530904 scopus 로고
    • Optimization of complex reactor networks-I: Isothermal operation
    • Kokossis, A. C.; Floudas, C. A. Optimization of complex reactor networks-I: Isothermal operation. Chem. Eng. Sci. 1990, 45 (3), 595.
    • (1990) Chem. Eng. Sci. , vol.45 , Issue.3 , pp. 595
    • Kokossis, A.C.1    Floudas, C.A.2
  • 19
    • 0028410779 scopus 로고
    • Optimization of complex reactor networks-II: Nonisothermal operation
    • Kokossis, A. C.; Floudas, C. A. Optimization of complex reactor networks-II: Nonisothermal operation. Chem. Eng. Sci. 1994, 49 (7), 1037.
    • (1994) Chem. Eng. Sci. , vol.49 , Issue.7 , pp. 1037
    • Kokossis, A.C.1    Floudas, C.A.2
  • 20
    • 0026918614 scopus 로고
    • Targeting strategies for the synthesis and energy integration of nonisothermal reactor networks
    • Balakrishna, S.; Biegler, L. T. Targeting strategies for the synthesis and energy integration of nonisothermal reactor networks. Ind. Eng. Chem. Res. 1992, 31 (9), 2152.
    • (1992) Ind. Eng. Chem. Res. , vol.31 , Issue.9 , pp. 2152
    • Balakrishna, S.1    Biegler, L.T.2
  • 21
    • 0030129372 scopus 로고    scopus 로고
    • Synthesis of optimal chemical reactor networks
    • Lakshmanan, A.; Biegler, L. T. Synthesis of optimal chemical reactor networks. Ind. Eng. Chem. Res. 1996, 35, 1344.
    • (1996) Ind. Eng. Chem. Res. , vol.35 , pp. 1344
    • Lakshmanan, A.1    Biegler, L.T.2
  • 22
    • 0023418970 scopus 로고
    • Relaxation strategy for the structural optimization for process flowsheets
    • Kocis, G. R.; Grossmann, I. E. Relaxation strategy for the structural optimization for process flowsheets. Ind. Eng. Chem. Res. 1987, 26 (9), 1869.
    • (1987) Ind. Eng. Chem. Res. , vol.26 , Issue.9 , pp. 1869
    • Kocis, G.R.1    Grossmann, I.E.2
  • 23
  • 24
    • 0030258364 scopus 로고    scopus 로고
    • Novel mathematical programming model for computer aided molecular design
    • Churi, N.; Achenie, L. E. K. Novel mathematical programming model for computer aided molecular design. Ind. Eng. Chem. Res. 1996, 35, 3788.
    • (1996) Ind. Eng. Chem. Res. , vol.35 , pp. 3788
    • Churi, N.1    Achenie, L.E.K.2
  • 25
    • 0000022206 scopus 로고    scopus 로고
    • The optimal design of refrigerant mixtures for a two-evaporator refrigerant system
    • Churi, N.; Achenie, L. E. K. The optimal design of refrigerant mixtures for a two-evaporator refrigerant system. Comput. Chem. Eng. 1997, 21 (S), 349.
    • (1997) Comput. Chem. Eng. , vol.21 , Issue.S , pp. 349
    • Churi, N.1    Achenie, L.E.K.2
  • 26
    • 0030210520 scopus 로고    scopus 로고
    • Designing environmentally safe refrigerants using mathematical programming
    • Duvedi, A. P.; Achenie, L. E. K. Designing environmentally safe refrigerants using mathematical programming. Chem. Eng. Sci. 1996, 51, 3727.
    • (1996) Chem. Eng. Sci. , vol.51 , pp. 3727
    • Duvedi, A.P.1    Achenie, L.E.K.2
  • 27
    • 0025479537 scopus 로고
    • Design of optimal solvents for liquid-liquid-extraction and gas-absorption processes
    • Macchietto, S.; Odele, O.; Omatsone, O. Design of optimal solvents for liquid-liquid-extraction and gas-absorption processes. Chem. Eng. Res. Des. 1990, 68, 429.
    • (1990) Chem. Eng. Res. Des. , vol.68 , pp. 429
    • Macchietto, S.1    Odele, O.2    Omatsone, O.3
  • 28
    • 43949174858 scopus 로고
    • Computer aided molecular design: A novel method for optimal solvent selection
    • Odele, O.; Macchietto, S. Computer aided molecular design: A novel method for optimal solvent selection. Fluid Phase Equilibr. 1993, 82, 47.
    • (1993) Fluid Phase Equilibr. , vol.82 , pp. 47
    • Odele, O.1    Macchietto, S.2
  • 29
    • 0000141744 scopus 로고    scopus 로고
    • Computer-aided synthesis of polymers and blends with target properties
    • Vaidyanathan, R.; El-Halwagi, M. Computer-aided synthesis of polymers and blends with target properties. Ind. Eng. Chem. Res. 1996, 35, 627.
    • (1996) Ind. Eng. Chem. Res. , vol.35 , pp. 627
    • Vaidyanathan, R.1    El-Halwagi, M.2
  • 30
    • 0030258068 scopus 로고    scopus 로고
    • Optimal computer-aided molecular design: A polymer design case study
    • Maranas, C. D. Optimal computer-aided molecular design: A polymer design case study. Ind. Eng. Chem. Res. 1996, 35, 3403.
    • (1996) Ind. Eng. Chem. Res. , vol.35 , pp. 3403
    • Maranas, C.D.1
  • 31
    • 0026108226 scopus 로고
    • MINLP model for cyclic multiproduct scheduling on continuous parallel lines
    • Sahinidis, N. V.; Grossmann, I. E. MINLP model for cyclic multiproduct scheduling on continuous parallel lines. Comput. Chem. Eng. 1991, 15, 85.
    • (1991) Comput. Chem. Eng. , vol.15 , pp. 85
    • Sahinidis, N.V.1    Grossmann, I.E.2
  • 32
    • 0026244319 scopus 로고
    • Optimal long-term campaign planning and design of batch operations
    • Shah, N.; Pantelides, C. C. Optimal long-term campaign planning and design of batch operations. Ind. Eng. Chem. Res. 1991, 30, 2308.
    • (1991) Ind. Eng. Chem. Res. , vol.30 , pp. 2308
    • Shah, N.1    Pantelides, C.C.2
  • 33
    • 0026864222 scopus 로고
    • Mixed-integer linear programming reformulations for batch process design with discrete equipment sizes
    • Voudouris, V.; Grossmann, I. E. Mixed-integer linear programming reformulations for batch process design with discrete equipment sizes. Ind. Eng. Chem. Res, 1992, 31 (5), 1314.
    • (1992) Ind. Eng. Chem. Res , vol.31 , Issue.5 , pp. 1314
    • Voudouris, V.1    Grossmann, I.E.2
  • 35
    • 0027676062 scopus 로고
    • Batch process systems engineering: A retrospective and prospective review
    • Rippin, D. W. T. Batch process systems engineering: A retrospective and prospective review. Comput. Chem. Eng. 1993, 17 (S), 1.
    • (1993) Comput. Chem. Eng. , vol.17 , Issue.S , pp. 1
    • Rippin, D.W.T.1
  • 36
    • 0030417871 scopus 로고    scopus 로고
    • Decomposition techniques for the solution of large-scale scheduling problems
    • Bassett, M. H.; Pekny, J. F.; Reklaitis, G. V. Decomposition techniques for the solution of large-scale scheduling problems. AIChE J. 1996, 42 (12), 3373.
    • (1996) AIChE J. , vol.42 , Issue.12 , pp. 3373
    • Bassett, M.H.1    Pekny, J.F.2    Reklaitis, G.V.3
  • 37
    • 0032216021 scopus 로고    scopus 로고
    • Effective continuous-time formulation for short-term scheduling. 1. Multiple batch processes
    • Ierapetritou, M. G. Floudas, C. A. Effective continuous-time formulation for short-term scheduling. 1. multiple batch processes. Ind. Eng. Chem. Res. 1998, 37, 4341.
    • (1998) Ind. Eng. Chem. Res. , vol.37 , pp. 4341
    • Ierapetritou, M.G.1    Floudas, C.A.2
  • 38
    • 0029229437 scopus 로고
    • Uncertainty in process design and operations
    • Pistikopoulos, E. N. Uncertainty in process design and operations. Comput. Chem. Eng. 1995, 19, (S) 553.
    • (1995) Comput. Chem. Eng. , vol.19 , Issue.S , pp. 553
    • Pistikopoulos, E.N.1
  • 40
    • 0000627541 scopus 로고
    • Multiparametric linear programming
    • Gal, T.; Nedoma, J. Multiparametric linear programming. Manage. Sci. 1972, 18, 406.
    • (1972) Manage. Sci. , vol.18 , pp. 406
    • Gal, T.1    Nedoma, J.2
  • 43
    • 0022544809 scopus 로고
    • Convexity and concavity properties of the optimal value function in parametric nonlinear programming
    • Fiacco, A. V.; Kyparisis, J. Convexity and concavity properties of the optimal value function in parametric nonlinear programming. J. Optim. Theory Appl. 1986, 48, 95.
    • (1986) J. Optim. Theory Appl. , vol.48 , pp. 95
    • Fiacco, A.V.1    Kyparisis, J.2
  • 44
    • 0023289056 scopus 로고
    • A reduced hessian strategy for sensitivity analysis of optimal flowsheets
    • Ganesh, N.; Biegler, L. T. A reduced hessian strategy for sensitivity analysis of optimal flowsheets. AIChE J. 1987, 33, 282.
    • (1987) AIChe J. , vol.33 , pp. 282
    • Ganesh, N.1    Biegler, L.T.2
  • 45
    • 34250091003 scopus 로고
    • Computable bounds on parametric solutions of convex problems
    • Fiacco, A. V.; Kyparisis, J. Computable bounds on parametric solutions of convex problems. Math. Program. 1988, 40, 213.
    • (1988) Math. Program. , vol.40 , pp. 213
    • Fiacco, A.V.1    Kyparisis, J.2
  • 46
    • 0242292479 scopus 로고
    • Global multiparametric optimal value bounds and solution estimates for separable parametric programs
    • Fiacco, A. V. Global multiparametric optimal value bounds and solution estimates for separable parametric programs. Ann. Oper. Res. 1990, 27, 381.
    • (1990) Ann. Oper. Res. , vol.27 , pp. 381
    • Fiacco, A.V.1
  • 47
    • 0028532712 scopus 로고
    • A reduced hessian strategy for sensitivity analysis of optimal flowsheets
    • Wolbert, D.; Joulia, X.; Koehret, B.; Biegler, L. T. A reduced hessian strategy for sensitivity analysis of optimal flowsheets. Comput. Chem. Eng. 1994, 18, 1083.
    • (1994) Comput. Chem. Eng. , vol.18 , pp. 1083
    • Wolbert, D.1    Joulia, X.2    Koehret, B.3    Biegler, L.T.4
  • 48
    • 0030269301 scopus 로고    scopus 로고
    • Sensitivity analysis for chemical process optimization
    • Seferlis, P.; Hrymak, A. N. Sensitivity analysis for chemical process optimization. Comput. Chem. Eng. 1996, 20 (10), 1117.
    • (1996) Comput. Chem. Eng. , vol.20 , Issue.10 , pp. 1117
    • Seferlis, P.1    Hrymak, A.N.2
  • 49
    • 0011639905 scopus 로고
    • Postoptimality analysis in zero-one programming by implicit enumeration
    • Roodman, G. M. Postoptimality analysis in zero-one programming by implicit enumeration. Naval Res. Log. Quart 1972, 19, 435.
    • (1972) Naval Res. Log. Quart , vol.19 , pp. 435
    • Roodman, G.M.1
  • 50
    • 0016343508 scopus 로고
    • Postoptimality analysis in zero-one programming by implicit enumeration: The mixed-integer case
    • Roodman, G. M. Postoptimality analysis in zero-one programming by implicit enumeration: the mixed-integer case. Naval Res. Log. Quart. 1974, 21, 595.
    • (1974) Naval Res. Log. Quart. , vol.21 , pp. 595
    • Roodman, G.M.1
  • 51
    • 0016929734 scopus 로고
    • Some easy postoptimality analysis for zero-one programming
    • Piper, C. J.; Zoltners, A. A. Some easy postoptimality analysis for zero-one programming. Manage. Sci. 1976, 22 (7), 759.
    • (1976) Manage. Sci. , vol.22 , Issue.7 , pp. 759
    • Piper, C.J.1    Zoltners, A.A.2
  • 52
    • 0017426969 scopus 로고
    • Parametric and postoptimality analysis in integer linear programming
    • Geoffrion, A. M.; Nauss, R. Parametric and postoptimality analysis in integer linear programming. Manage. Sci. 1977, 23 (5), 453.
    • (1977) Manage. Sci. , vol.23 , Issue.5 , pp. 453
    • Geoffrion, A.M.1    Nauss, R.2
  • 53
    • 0018319382 scopus 로고
    • Integer programming postoptimal analysis with cutting planes
    • Klein, D.; Holm, S. Integer programming postoptimal analysis with cutting planes. Manage. Sci. 1979, 25 (1), 64.
    • (1979) Manage. Sci. , vol.25 , Issue.1 , pp. 64
    • Klein, D.1    Holm, S.2
  • 54
    • 0021449288 scopus 로고
    • Three methods for postoptimal analysis in integer linear programming
    • Holm, S.; Klein, D. Three methods for postoptimal analysis in integer linear programming. Math. Prog. St. 1984, 21, 97.
    • (1984) Math. Prog. St. , vol.21 , pp. 97
    • Holm, S.1    Klein, D.2
  • 55
    • 0011570087 scopus 로고
    • Parametric integer programming: The right-hand side case
    • Marsten, R. E.; Morin, T. L. Parametric integer programming: the right-hand side case. Ann. Discr. Math. 1977, 1, 375.
    • (1977) Ann. Discr. Math. , vol.1 , pp. 375
    • Marsten, R.E.1    Morin, T.L.2
  • 56
    • 0022064433 scopus 로고
    • A branch-and-bound algorithm for 0-1 parametric mixed-integer programming
    • Ohtake, Y.; Nishida, N. A branch-and-bound algorithm for 0-1 parametric mixed-integer programming. Operat. Res. Lett. 1985, 4(1), 41.
    • (1985) Operat. Res. Lett. , vol.4 , Issue.1 , pp. 41
    • Ohtake, Y.1    Nishida, N.2
  • 58
    • 0031100306 scopus 로고    scopus 로고
    • A multiparametric programming approach for linear process engineering problems under uncertainty
    • Acevedo, J.; Pistikopoulos, E. N. A multiparametric programming approach for linear process engineering problems under uncertainty. Ind. Eng. Chem. Res. 1997, 36, 717.
    • (1997) Ind. Eng. Chem. Res. , vol.36 , pp. 717
    • Acevedo, J.1    Pistikopoulos, E.N.2
  • 59
    • 0001052070 scopus 로고    scopus 로고
    • Parametric optimization of MILP programs and a framework for the parametric optimization of MINLPs
    • Pertsinidis, A.; Grossmann, I. E.; McRae, G. J. Parametric optimization of MILP programs and a framework for the parametric optimization of MINLPs. Comput. Chem. Eng 1998, 22 S205.
    • (1998) Comput. Chem. Eng , vol.22
    • Pertsinidis, A.1    Grossmann, I.E.2    McRae, G.J.3
  • 60
    • 0019048919 scopus 로고
    • Finding all the solutions for a class of parametric quadratic integer programming problems
    • McBride, R. D.; Yorkmark, J. S. Finding all the solutions for a class of parametric quadratic integer programming problems Manage. Sci. 1980, 26, 784.
    • (1980) Manage. Sci. , vol.26 , pp. 784
    • McBride, R.D.1    Yorkmark, J.S.2
  • 61
    • 0019575157 scopus 로고
    • Postoptimality analysis in nonlinear integer programming: The right-hand side case
    • Cooper, M. W. Postoptimality analysis in nonlinear integer programming: the right-hand side case. Naval Res. Log Quart. 1981, 28, 301.
    • (1981) Naval Res. Log Quart. , vol.28 , pp. 301
    • Cooper, M.W.1
  • 62
    • 0023598770 scopus 로고
    • Nonlinear integer programming: Sensitivity analysis for branch-and-bound
    • Skorin-Kapov, J.; Granot, F. Nonlinear integer programming: sensitivity analysis for branch-and-bound. Operat. Res. Lett. 1987, 6 (6), 269.
    • (1987) Operat. Res. Lett. , vol.6 , Issue.6 , pp. 269
    • Skorin-Kapov, J.1    Granot, F.2
  • 63
    • 0029736129 scopus 로고    scopus 로고
    • A parametric MINLP algorithm for process synthesis problems under uncertainty
    • Acevedo, J.; Pistikopoulos, E. N. A parametric MINLP algorithm for process synthesis problems under uncertainty. Ind. Eng. Chem. Res. 1996, 35 (1), 147.
    • (1996) Ind. Eng. Chem. Res. , vol.35 , Issue.1 , pp. 147
    • Acevedo, J.1    Pistikopoulos, E.N.2
  • 64
    • 0032070763 scopus 로고    scopus 로고
    • A parametric mixed-integer optimization algorithm for multiobjective engineering problems involving discrete decisions
    • Papalexandri, K. P.; Dimkou, T. I. A parametric mixed-integer optimization algorithm for multiobjective engineering problems involving discrete decisions. Ind. Eng. Chem. Res. 1998, 37 (5), 1866.
    • (1998) Ind. Eng. Chem. Res. , vol.37 , Issue.5 , pp. 1866
    • Papalexandri, K.P.1    Dimkou, T.I.2
  • 65
    • 0022699346 scopus 로고
    • A mixed-integer nonlinear programming algorithm for process systems synthesis
    • Durán, M. A.; Grossmann, I. E. A mixed-integer nonlinear programming algorithm for process systems synthesis. AIChE J. 1986, 32 (4), 592.
    • (1986) AIChE J. , vol.32 , Issue.4 , pp. 592
    • Durán, M.A.1    Grossmann, I.E.2
  • 66
    • 0003245348 scopus 로고    scopus 로고
    • An algorithm for the solution of multiparametric mixed integer linear programming problems
    • Dua, V.; Pistikopoulos, E. N. An algorithm for the solution of multiparametric mixed integer linear programming problems. Ann. Operat. Res. 1999, accpeted.
    • (1999) Ann. Operat. Res.
    • Dua, V.1    Pistikopoulos, E.N.2
  • 67
    • 0032021725 scopus 로고    scopus 로고
    • Optimization techniques for process synthesis and material design under uncertainty
    • Dua, V.; Pistikopoulos, E. N. Optimization techniques for process synthesis and material design under uncertainty. Trans. IChemE 1998, 76, 408.
    • (1998) Trans. IChemE , vol.76 , pp. 408
    • Dua, V.1    Pistikopoulos, E.N.2
  • 68
    • 0000649264 scopus 로고
    • Computational complexity of parametric linear programming
    • Murty, K. Computational complexity of parametric linear programming. Math. Program. 1980, 19, 213.
    • (1980) Math. Program. , vol.19 , pp. 213
    • Murty, K.1
  • 70
    • 0025459923 scopus 로고
    • A combined penalty function and outer-aproximation method for MINLP optimization
    • Viswanathan, J.; Grossmann, I. E. A combined penalty function and outer-aproximation method for MINLP optimization. Comput. Chem. Eng. 1990, 14 (7), 769.
    • (1990) Comput. Chem. Eng. , vol.14 , Issue.7 , pp. 769
    • Viswanathan, J.1    Grossmann, I.E.2


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