Mixed-Integer Optimization Techniques for Algorithmic Process Synthesis

Advances in Chemical Engineering - Tập 23 - Trang 171-246 - 1996
Ignacio E. Grossmann1
1Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, Pennsylvania

Tài liệu tham khảo

Achenie, 1986, “Algorithmic Synthesis of Chemical Reactor Networks Using Mathematical Programming”, Ind. Eng. Chem. Fundam., 25, 621, 10.1021/i100024a024 Achenie, 1988, “Developing Targets for the Performance Index of a Chemical Reactor Network: Isothermal Systems”, Ind. Eng. Chem. Res., 27, 1811, 10.1021/ie00082a014 Andrecovich, 1985, “A Simple Synthesis Method Based on Utility Bounding for Heat-Integrated Distillation Sequences”, AIChE J., 31, 363, 10.1002/aic.690310303 Andrecovich, 1985, “An MILP Formulation for Heat-Integrated Distillation Sequence Synthesis”, AIChE J., 31, 1461, 10.1002/aic.690310908 Bagajewicz, 1992, “Mass/Exchange Network Representation of Distillation Networks”, AIChE J., 38, 1769, 10.1002/aic.690381110 Balakrishna, 1992, “Constructive Targeting Approaches for the Synthesis of Chemical Reactor Networks”, Ind. Eng. Chem. Res., 31, 300, 10.1021/ie00001a041 Balakrishna, 1992, “Targeting Strategies for the Synthesis and Energy Integration of Nonisothermal Reactor Networks”, Ind. Eng. Chem. Res., 31, 2152, 10.1021/ie00009a013 Balas, 1985, “Disjunctive Programming and a Hierarchy of Relaxations for Discrete Optimization Problems”, SIAM J. Alg. Disc. Methods, 6, 466, 10.1137/0606047 Balas, 1993, “A Lift-and-Project Cutting Plane Algorithm for Mixed 0–1 Programs”, Math. Program., 58, 295, 10.1007/BF01581273 Beaumont, 1991, “An Algorithm for Disjunctive Programs”, Eur. J. Oper. Res., 48, 362, 10.1016/0377-2217(90)90419-C Bolio, 1993 Bolio, 1994 Borchers, B., and Mitchell, J. E. “An Improved Branch and Bound Algorithm for Mixed Integer Nonlinear Programs,” TIMS/ORSA Meeting (1992). Bremicker, 1990, “Solution of Mixed-Discrete Structural Optimization with a New Sequential Linearization Model”, Comput. Struct., 37, 451, 10.1016/0045-7949(90)90035-Z Brooke, 1988 Carlberg, 1989, “Temperature-Heat Diagrams for Complex Columns. 2. Method for Side Strippers and Enrichers”, Ind. Eng. Chem. Res., 28, 1379, 10.1021/ie00093a017 Carlberg, 1989, “Temperature-Heat Diagrams for Complex Columns. 3. Underwood's Method for the Petlyuk Configuration”, Ind. Eng. Chem. Res., 28, 1386, 10.1021/ie00093a018 Cavalier, T. M., and Soyster, A. L. “Logical Deduction via Linear Programming,” IMSE Working Paper 87–147. Department of Industrial and Management Systems Engineering, Pennsylvania State University, University Park, 1987. Cavalier, 1990, “Modelling and Integer Programming Techniques applied to Propositional Calculus”, Comput. Oper. Res., 17, 561, 10.1016/0305-0548(90)90062-C Cerda, 1983, “Synthesizing Heat Exchanger Networks Having Restricted Stream/Stream Matches Using Transportation Problem Formulations”, Chem. Eng. Sci., 38, 1723, 10.1016/0009-2509(83)85029-5 Charalambides, M. S., Shah, N., and Pantelides, C. C. “Optimal Batch Process Synthesis,” Paper No. 153c. AIChE Meeting, St. Louis. MO (1993). Chitra, 1985, “Synthesis of Optimal Serial Reactor Structures for Homogeneous Reactions. Part I: Isothermal Reactors”, AIChE J., 31, 177, 10.1002/aic.690310202 Chitra, 1985, “Synthesis of Optimal Serial Reactor Structures for Homogeneous Reactions. Part II: Nonisothermal Reactors”, AIChE J., 31, 185, 10.1002/aic.690310203 Ciric, 1991, “Heat Exchanger Network Synthesis without Decomposition”, Comput. Chem. Eng., 15, 385, 10.1016/0098-1354(91)87017-4 Clocksin, 1981 Colberg, 1990, “Area and Capital Cost Targets for Heat Exchanger Network Synthesis with Constrained Matches and Unequal Heat Transfer Coefficients”, Comput. Chem. Eng., 14, 1, 10.1016/0098-1354(90)87002-7 Colmenares, 1987, “Heat and Power Integration of Chemical Processes”, AIChE J., 33, 898, 10.1002/aic.690330604 Crowder, 1983, “Solving Large-Scale Zero-One Linear Programming Problems”, Oper. Res., 31, 803, 10.1287/opre.31.5.803 Daichendt, 1994, “Preliminary Screening for the MINLP Synthesis of Process Systems. I. Aggregation and Decomposition Techniques”, Comput. Chem. Eng., 18, 663, 10.1016/0098-1354(93)E0015-2 Daichendt, 1994, “Preliminary Screening for the MINLP Synthesis of Process Systems. II. Heat Exchanger Networks”, Comput. Chem. Eng., 18, 679, 10.1016/0098-1354(93)E0016-3 Dhole, V. R., and Linnhoff, B. “Distillation Column Targets,” Proc. Eur. Symp. Comput. Aided Process Design (Escape-1) (1992). Ding, M., and Sargent, R. W. H. “A Combined SQP and Branch and Bound Algorithm for MINLP Optimization.” Internal Report. Centre for Process Systems Engineering, Imperial Colleges London, 1992. Doherty, 1985, “Design and Synthesis of Homogeneous Azeotropic Distillations. 3. The Sequencing of Columnds for Azeotropic and Extractive Distillation”, Ind. Eng. Chem. Fundam., 24, 474, 10.1021/i100020a012 Douglas, 1985, “A Hierarchical Decision Procedure for Process Synthesis”, AIChE J., 31, 353, 10.1002/aic.690310302 Douglas, 1988 Douglas, 1990, Synthesis of Multistep Reaction Processes Duran, 1986, “Simultaneous Optimization and Heat Integration of Chemical Processes”, AIChE J., 32, 123, 10.1002/aic.690320114 Duran, 1986, “A Mixed-Integer Nonlinear Programming Algorithm for Process Systems Synthesis”, AIChE J., 32, 592, 10.1002/aic.690320408 Duran, 1986, “An Outer-Approximation Algorithm for a Class of Mixedinteger Nonlinear Programs”, Math. Program., 36, 307, 10.1007/BF02592064 El-Halwagi, 1989, “Synthesis of Mass Exchange Networks”, AIChE J., 35, 1233, 10.1002/aic.690350802 El-Halwagi, M., and Manousiouthakis, V. “Design and Analysis of Mass Exchange Networks with Multicomponent Targets,” Paper 137f, AIChE Meeting San Francisco (1989b). El-Halwagi, 1990, “Automatic Synthesis of Mass-Exchanger Networks with Single Component Targets”, Chem. Eng. Sci., 45, 2813, 10.1016/0009-2509(90)80175-E Eliceche, 1986, “Synthesis and Design of Distillation Sequences”, Inst. Chem. Eng. Symp. Ser., 61, 1 Fletcher, 1994, “Solving Mixed Integer Nonlinear Programs by Outer Approximation”, Math. Program., 66, 327, 10.1007/BF01581153 Floquet, 1988, “Mathematical Programming Tools for Chemical Engineering Process Design Synthesis”, Chem. Eng. Process., 23, 1, 10.1016/0255-2701(88)80004-7 Floudas, 1987, “Separation Synthesis of Multicomponent Feed Streams into Multicomponent Product Stream”, AIChE J., 33, 540, 10.1002/aic.690330403 Floudas, 1990, “A Decomposition Strategy for Global Optimum Search in the Pooling Problem”, ORSA J. Comput., 2, 225, 10.1287/ijoc.2.3.225 Floudas, 1994, Algorithmic Approaches to Process Synthesis: Logic and Global Optimization Floudas, 1988, A Mixed-Integer Nonlinear Programming Formulation for the Synthesis of Heat-Integrated Distillation Sequences, Comput. Chem. Eng., 12, 531, 10.1016/0098-1354(88)87003-0 Floudas, 1990, “A Global Optimization Algorithm (GOP) for Certain Classes of Nonconvex NLPs-I Theory”, Comput. Chem. Eng., 4, 1397, 10.1016/0098-1354(90)80020-C Floudas, 1986, “Automatic Synthesis of Optimum Heat Exchanger Network Configurations”, AIChE J., 32, 276, 10.1002/aic.690320215 Fonyó, 1974, “Thermodynamic Analysis of Rectification. I. Reversible Model of Rectification”, Int. Chem. Eng., 14, 18 Fonyó, 1974, “Thermodynamic Analysis of Rectification. II. Finite Cascade Models”, Int. Chem. Eng., 14, 203 Fonyó, Z., and Mizsey, P. “A Global Approach to the Synthesis and Preliminary Design of Integrated Total Flowsheets,” Annual AIChE Meeting, Chicago (1990). Friedler, F., Tarjan, K., Huang, Y. W., and Fan, L. T. “An Accelerated Branch and Bound Method for Process Synthesis,” presented at the 4th World Congress of Chemical Engineering, Karlsruhe (1991). Friedler, 1992, “Graph Theoretic Approach to Process Synthesis: Axioms and Theorems”, Chem. Eng. Sci., 47, 1973, 10.1016/0009-2509(92)80315-4 Friedler, 1993, “Graph Theoretic Approach to Process Synthesis: Polynomial Algorithm for Maximal Structure Generation”, Comput. Chem. Eng., 17, 929, 10.1016/0098-1354(93)80074-W Geoffrion, 1972, “Generalized Benders Decomposition”, J. Optim. Theory Appl., 10, 237, 10.1007/BF00934810 Glasser, 1987, “A Geometric Approach to Steady Flow Reactors: The Attainable Region and Optimization in Concentration Space”, Ind. Eng. Chem. Res., 26, 1803, 10.1021/ie00069a014 Glavic, 1988, “Heat Integration of Reactors. I. Criteria for Placement of Reactors into the Flowsheet”, Chem. Eng. Sci., 43, 593, 10.1016/0009-2509(88)87019-2 Gomez-Muñoz, 1985, “Synthesis of Distillation Trains by Thermodynamic Analysis”, Comput. Chem. Eng., 9, 311, 10.1016/0098-1354(85)85011-0 Grossmann, 1985, “Mixed-Integer Programming Approach for the Synthesis of Integrated Process Flowsheets”, Comput. Chem. Eng., 9, 463, 10.1016/0098-1354(85)80023-5 Grossmann, 1990, MINLP Optimization Strategies and Algorithms for Process Synthesis Grossmann, 1990, “Mixed-Integer Nonlinear Programming Techniques for the Synthesis of Engineering Systems”, Res. Eng. Des., 1, 205, 10.1007/BF01581212 Grossmann, 1994, New Trends in Optimization-based Approaches for Process Synthesis, Proceedings of Process Systems Engineering Korea Guirardello. R., and Swaney. R. E. “Process Piping Layout Design and Optimization,” Paper No. 151g, AIChE Meeting, St. Louis. MO (1993). Gundersen, 1990, “Improved Optimization Strategies for Automated Heat Exchanger Network Synthesis through Physical Insights”, Comput. Chem. Eng., 14, 925, 10.1016/0098-1354(90)87050-Y Gundersen, 1988, “The Synthesis of Cost Optimal Heat Exchanger Networks. An Industrial Review of the State of the Art”, Comput. Chem. Eng., 12, 503, 10.1016/0098-1354(88)87002-9 Gupta, 1985, “Branch and Bound Experiments in Convex Nonlinear Integer Programming”, Manage. Sci., 31, 1533, 10.1287/mnsc.31.12.1533 Hendry, 1972, “Generating Separation Process Flowsheets”, Chem. Eng. Prog., 68, 69 Hendry, 1973, “Synthesis in the Design of Chemical Processes”, AIChE J., 19, 1, 10.1002/aic.690190103 Hildebrandt, 1990, “Geometry of the Attainable Region Generated by Reaction and Mixing: With and without Constraints”, Ind. Eng. Chem. Res., 29, 49, 10.1021/ie00097a009 Hlavacek, 1978, “Synthesis in the Design of Chemical Processes”, Comput. Chem. Eng., 2, 67, 10.1016/0098-1354(78)80010-6 Horst, 1990, “Deterministic Method in Constrained Global Optimization: Some Recent Advances and Fields of Application”, Nav. Res. Logistics, 37, 433, 10.1002/1520-6750(199008)37:4<433::AID-NAV3220370403>3.0.CO;2-2 Horst, 1990 Ichikawa, 1973, “Optimal Synthesis of Process Systems,” Necessary Condition for Optimal System and Its Use in Synthesis of Systems”, Chem. Eng. Sci., 28, 357, 10.1016/0009-2509(73)80036-3 Kakhu, 1988, “Synthesising Heat-Integrated Distillation Sequences Using Mixed Integer Programming”, Chem. Eng. Res. Des., 66, 241 Kelley, 1960, The Cutting-Plane Method for Solving Convex Programs, J. SIAM, 8, 703 Kirkwood, 1988, “A Prototype Expert System for Synthesizing Chemical Process Flowsheets”, Comput. Chem. Eng., 12, 329, 10.1016/0098-1354(88)85045-2 Klossner, J., and Rippin, D. W. T. “Combinatorial Problems in the Design of Multiproduct Batch Plants-Extensions to Multiplant and Partly Parallel Operations,” AIChE Meeting, San Francisco (1984). Knight, 1989, “Optimal Design and Synthesis of Homogeneous Azeotropic Distillation Sequences”, Ind. Eng. Chem. Res., 28, 564, 10.1021/ie00089a011 Knight. J. R., and McRae, G. J. “An Approach to Process Integration based on the Choice of the System Chemistry,” Paper No. 153d, AIChE Meeting, St. Louis, MO (1993). Kocis, 1987, “Relaxation Strategy for the Structural Optimization of Process Flow Sheets”, Ind. Eng. Chem. Res., 26, 1869, 10.1021/ie00069a026 Kocis, 1988, “Global Optimization of Nonconvex Mixed-Integer Nonlinear Programming (MINLP) Problems in Process Synthesis”, Ind. Eng. Chem. Res., 27, 1407, 10.1021/ie00080a013 Kocis, 1989, “Computational Experience with DICOPT Solving MINLP Problems in Process Systems Engineering”, Comput. Chem. Eng., 13, 307, 10.1016/0098-1354(89)85008-2 Kocis, 1989, “A Modelling and Decomposition Strategy for the MINLP Optimization of Process Flowsheets”, Comput. Chem. Eng., 13, 797, 10.1016/0098-1354(89)85053-7 Koehler, 1992, “Evolutionary Thermodynamic Synthesis of Zeotropic Distillation Sequences”, Gas Separ. Purif., 6, 4153, 10.1016/0950-4214(92)80015-B Kokossis, 1991, “Synthesis of Isothermal Reactor-Separator-Recycle Systems”, Chem. Eng. Sci., 46, 1361, 10.1016/0009-2509(91)85063-4 Kravanja, 1990, “PROSYN, An MINLP Process Synthesizer”, Comput. Chem. Eng., 14, 1363, 10.1016/0098-1354(90)80018-7 Kravanja, 1994, Recent Developments in PROSYN–A Topology MINLP Synthesizer, Comput. Chem. Eng., 10.1016/S0098-1354(94)85027-5 Lang, 1988, “Simultaneous Optimization and Heat Integration with Process Simulators”, Comput. Chem. Eng., 12, 311, 10.1016/0098-1354(88)85044-0 Laroche, 1992, “Homogeneous Azotropic Distillation: Separability and Flowsheet Synthesis”, Ind. Eng. Chem. Res., 31, 2190, 10.1021/ie00009a017 Lee, 1970, “Branch and Bound Synthesis of Integrated Process Designs”, Ind. Eng. Chem. Fundam., 9, 48, 10.1021/i160033a008 Leyffer, S. “Deterministic Methods for Mixed-Integer Nonlinear Programming,” Ph. D. Thesis, Department of Mathematics and Computer Science, University of Dundee, Dundee (1993). Linnhoff, 1993, “Pinch Analysis–A State of the Art Overview”, Trans. Inst. Chem. Eng., 71, 503 Linnhoff, 1983, “The Pinch Design Method of Heat Exchanger Networks”, Chem. Eng. Sci., 38, 745, 10.1016/0009-2509(83)80185-7 Linnhoff, 1982 Magnanti, 1981, “Acclerated Benders Decomposition: Algorithm Enhancement and Model Selection Criteria”, Oper Res., 29, 464, 10.1287/opre.29.3.464 Mahalec, 1977, “Procedures for the Initial Design of Chemical Processing Systems”, Comput. Chem. Eng., 1, 57, 10.1016/0098-1354(77)80008-2 Mahalec, 1977, “Evolutionary Search for an Optimal Limiting Process Flowsheet”, Comput. Chem. Eng., 1, 149, 10.1016/0098-1354(77)80019-7 Manousiouthakis, 1992, “A Global Optimization Approach to Rationally Constrained Rational Programming”, Chem. Eng. Commun., 115, 127, 10.1080/00986449208936033 Maranas, C. D., and Floudas, C. A. “Global Minimum Potential Energy Conformation of Small Molecules,” Paper No. 151d, AIChE Meeting, St. Louis, MO (1993). Masso, 1969, “The Synthesis of System Designs. II: Heuristic Structuring”, AIChE J., 15, 10, 10.1002/aic.690150108 McCormick, 1976, “Computability of Global Solutions to Factorable Nonconvex Programs: Part I. Convex Underestimating Problems”, Math. Program., 10, 146, 10.1007/BF01580665 Nabar, S. and Schrage, L. “Modelling and Solving Nonlinear Integer Programming Problems,” presented at Annual AIChE Meeting, Chicago (1991). Nath, 1981, “Evolutionary Synthesis of Separation Processes”, AIChE J., 27, 578, 10.1002/aic.690270407 Nemhauser, 1988 Nishida, 1981, “A Review of Process Synthesis”, AIChE J., 27, 321, 10.1002/aic.690270302 Omtveit, T., and Lien, K. “Reactor System Design Revisited,” Paper No. 153b. AIChE Meeting, St. Louis, MO (1993). Papageorgaki, 1990, “Optimal Design of Multipurpose Batch Plants. I. Problem Formulation”, Ind Eng. Chem. Res., 29, 2054, 10.1021/ie00106a013 Papalexandri, K. P., Pistikopoulos, E. N., and Floudas, C. A. “Mass Exchange Networks for Waste Minimization: A Simultaneous Approach.” Paper No. 153e, AIChE Meeting, St. Louis, MO (1993). Papoulias, 1983, “A Structural Optimization Approach in Process Synthesis. Part I. Utility Systems”, Comput. Chem. Eng., 7, 695, 10.1016/0098-1354(83)85022-4 Papoulias, 1983, “A Structural Optimization Approach in Process Synthesis. Part II. Heat Recovery Networks”, Comput. Chem. Eng., 7, 707, 10.1016/0098-1354(83)85023-6 Papoulias, 1983, “A Structural Optimization Approach in Process Synthesis. Part III. Total Processing Systems”, Comput. Chem. Eng., 7, 723, 10.1016/0098-1354(83)85024-8 Petlyuk, 1965, “Thermodynamically Optimal Method for Separating Multicomponent Mixtures”, Int. Chem. Eng., 5, 555 Pinto, 1994, Optimal Cyclic Scheduling of Multistage Continuous Multiproduct Plants, Comput Chem. Eng., 18, 797, 10.1016/0098-1354(93)E0021-Z Powers, 1972, Heuristic Synthesis in Process Development, Chem. Eng. Prog., 68, 88 Quesada, 1992, “An LP/NLP Based Branch and Bound Algorithm for Convex MINLP Optimization Problems”, Comput. Chem. Eng., 16, 937, 10.1016/0098-1354(92)80028-8 Quesada, 1993, “Global Optimization Algorithm for Heat Exchanger Networks”, Ind. Eng. Chem. Res., 32, 487, 10.1021/ie00015a012 Quesada, 1995, “Global Optimization Algorithm of Process Networks with Multicomponent Flows”, Comput. Chem. Eng., 19, 1219, 10.1016/0098-1354(94)00123-5 Quesada, 1995, J. Global Optim., 6, 39, 10.1007/BF01106605 Raman, 1991, “Relation Between MILP Modelling and Logical Inference for Chemical Process Synthesis”, Comput. Chem. Eng., 15, 73, 10.1016/0098-1354(91)87007-V Raman, 1993, “Symbolic Integration of Logic in Mixed Integer Linear Programming Techniques for Process Synthesis”, Comput. Chem. Eng., 17, 909, 10.1016/0098-1354(93)80073-V Raman, 1994, “Modelling and Computational Techniques for Logic Based Integer Programming”, Comput. Chem. Eng., 18, 563, 10.1016/0098-1354(93)E0010-7 Rathore, 1974, “Synthesis Strategies for Multicomponent Separation Systems with Energy Integration”, AIChE J., 20, 491, 10.1002/aic.690200309 Rathore, 1974, “Synthesis of Distillation Systems with Energy Integration”, AIChE J., 20, 940, 10.1002/aic.690200515 Reklaitis, 1990, Progress and Issues in Computer-Aided Batch Process Design Rigg, T. J. “Synthesis of Separation Systems.” A Preliminary Report for the Degree of Doctor of Philosophy in Chemical Engineering. University of Wisconsin-Madison (1991). Rippin, 1990, Introduction: Approaches to Chemical Process Synthesis. Rudd, 1968, The Synthesis of System Designs. I. Elementary Decomposition Strategy, AIChE J., 14, 343, 10.1002/aic.690140223 Rudd, 1968 Sahinidis, N. V. “Accelerating Branch and Bound in Continuous Global Optimization.” Paper MA 36.2. TIMS/ORSA Meeting, Phoenix. AZ (1993). Sahinidis, 1991, “MINLP Model for Cyclic Multiproduct Scheduling on Continuous Parallel Lines”, Comput. Chem. Eng., 15, 85, 10.1016/0098-1354(91)87008-W Sahinidis, 1991, “Convergence Properties of Generalized Benders Decomposition”, Comput. Chem. Eng., 15, 481, 10.1016/0098-1354(91)85027-R Sargent, 1976, Introduction: Approaches to Chemical Process Synthesis Schrijver, 1986 Seader, 1977, “A Combined Heuristic and Evolutionary Strategy for Synthesis of Simple Separation Sequences”, AIChE J., 23, 951, 10.1002/aic.690230628 Shelton, 1986, “Optimal Synthesis of Integrated Refrigeration Systems. I: Mixed-integer Programming Model”, Comput. Chem. Eng., 10, 445, 10.1016/0098-1354(86)85014-1 Shelton, 1986, “Optimal Synthesis of Integrated Refrigeration Systems. II: Implicit Enumeration Algorithm”, Comput. Chem. Eng., 10, 461, 10.1016/0098-1354(86)85015-3 Siirola, 1971, “Computer-Aided Synthesis of Chemical Process Designs”, Ind. Eng. Chem. Fundam., 10, 353, 10.1021/i160039a003 Siirola, 1971, “Synthesis of System Designs, III: Toward a Process Concept Generator”, AIChE J., 17, 677, 10.1002/aic.690170334 Smith, 1988, “The Design of Separators in the Context of Overall Processes”, Chem. Eng. Res. Des., 66, 195 Stephanopoulos, 1976, “Studies in Process Synthesis, II. Evolutionary Synthesis of Optimal Process Flowsheets”, Chem. Eng. Sci., 31, 195, 10.1016/0009-2509(76)85057-9 Stichlmair, 1989, “Separation of Azeotropic Mixtures via Enhanced Distillation”, Chem. Eng. Prog., 85, 63 Swaney, R. E. “Global Solution of Algebraic Nonlinear Programs,” Paper No. 22f, AIChE Meeting, (1990). Terranova, 1989, “Temperature-Heat Diagrams for Complex Columns. 1. Intercooled/Interheated Distillation Columns”, Ind. Eng. Chem. Res., 28, 1374, 10.1021/ie00093a016 Turkay, M., and Grossmann, I. E. “A Logic Based Outer-Approximation Algorithm for MINLP Optimization of Process Flowsheets,” AIChE Annual Meeting, San Francisco (1994). Umeda, 1972, “Synthesis of Optimal Processing System by an Integrated Approach”, Chem. Eng. Sci., 27, 795, 10.1016/0009-2509(72)85013-9 Umeda, 1979, “A Thermodynamic Approach to the Synthesis of Heat Integration Systems in Chemical Processes”, Comput. Chem. Eng., 3, 273, 10.1016/0098-1354(79)80046-0 Van Dongen, 1985, “Design and Synthesis of Homogeneous Azeotropic Distillation. 1. Problem Formulation for Single Column”, Ind. Eng. Chem. Fundam., 24, 454, 10.1021/i100020a010 Van Roy, 1987, “Solving Mixed Integer Programs by Automatic Reformulation”, Oper. Res., 35, 45, 10.1287/opre.35.1.45 Viswanathan, 1990, “A Combined Penalty Function and Outer-Approximation Method for MINLP Optimization”, Comput. Chem. Eng., 14, 769, 10.1016/0098-1354(90)87085-4 Viswanathan, 1993, “Optimal Feed Locations and Number of Trays for Distillation Columns with Multiple Feeds”, Ind Eng. Chem. Res., 32, 2942, 10.1021/ie00023a069 Visweswaran, 1990, “A Global Optimization Algorithm (GOP) for Certain Classes of Nonconvex NLPs. II. Application of Theory and Test Problems”, Comput. Chem. Eng., 14, 1419, 10.1016/0098-1354(90)80021-3 Voudouris, 1993, “Optimal Synthesis of Multiproduct Batch Plants with Cyclic Scheduling and Inventory Considerations”, Ind. Eng. Chem. Res., 32, 1962, 10.1021/ie00021a020 Wahnschafft, 1991, “SPLIT: A Separation Process Designer”, Comput. Chem. Eng., 15, 565, 10.1016/0098-1354(91)80012-K Wahnschafft, 1992, “SPLIT: II. Automated Synthesis of Hybrid Liquid Separation Systems”, Comput. Chem. Eng., 16, S305, 10.1016/S0098-1354(09)80036-7 Wahnschafft, O. M., Wareck, J. S., and Ahmad, S. “Distillation System Synthesis Based on Thermodynamic Targeting,” Paper No. 152f, AIChE Meeting, St. Louis, MO (1993). Wehe, 1987, “An Algorithmic Procedure for the Synthesis of Distillation Sequences with Bypass”, Comput. Chem. Eng., 11, 619, 10.1016/0098-1354(87)87007-2 Westerberg, 1985, “The Synthesis of Distillation Based Separation”, Comput. Chem. Eng., 9, 421, 10.1016/0098-1354(85)80020-X Westerlund, T., and Pettersson, F. “A Cutting Plane Method for Solving Convex MINLP Problems.” Report 92–124-A. Process Design Laboratory. Abo Akademi, 1992. Williams, 1988 Yee, 1990, “Simultaneous Optimization Models for Heat Integration. I. Energy and Area Targeting”, Comput. Chem. Eng., 14, 1151, 10.1016/0098-1354(90)85009-Y Yee, 1990, “Simultaneous Optimization Models for Heat Integration. II: Heat Exchanger Network Synthesis”, Comput. Chem. Eng., 14, 1165, 10.1016/0098-1354(90)85010-8 Yee, 1990, “Simultaneous Optimization Models for Heat Integration. III. Optimization of Process Flowsheets and Heat Exchanger Networks”, Comput. Chem. Eng., 14, 1185, 10.1016/0098-1354(90)80001-R Yuan, 1988, “Une Méthode d'optimisation Nonlinéare en Variables pour la Conception de Procèdés”, Oper. Res., 22, 331, 10.1051/ro/1988220403311