Process planning in a fuzzy environment

European Journal of Operational Research

Volumn 100, Issue 1, 1997, Pages 142-169

  Liu, Ming Long ^a   Sahinidis, Nikolaos V ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

Capacity expansion; Chemical processes; Fuzzy sets; Mixed integer nonlinear optimization

Indexed keywords

ALGORITHMS; DECISION MAKING; INTEGER PROGRAMMING; LINEAR PROGRAMMING; MATHEMATICAL MODELS; MEMBERSHIP FUNCTIONS; NONLINEAR PROGRAMMING; PETROCHEMICAL PLANTS; PLANNING;

CAPACITY EXPANSION; CHEMICAL PROCESSES; MIXED INTEGER NONLINEAR OPTIMIZATION; PROCESS PLANNING;

FUZZY SETS;

EID: 0031187688     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(96)00025-2     Document Type: Article

References (57)

1. Bellman, R., and Zadeh, L.A. (1970), "Decision-making in a fuzzy environment", Management Science 17, 141-161.
2. Bit, A.K., Bisswal, M.P., and Alam, S.S. (1993a), "Fuzzy programming approach to the multiobjective solid transportation problem", Fuzzy Sets and Systems 57, 183-194.
3. Bit, A.K., Bisswal, M.P., and Alam, S.S. (1993b), "An additive fuzzy programming model for the multiobjective transportation problem", Fuzzy Sets and Systems 57, 313-319.
4. Brooke, A., Kendrick, D., and Meeraus, A. (1988), GAMS - A User's Guide, Scientific Press, Redwood City.
5. Chalam, G.A., (1994), "Fuzzy Goal Programming (FGP) approach to a stochastic transportation problem under budgetary constraint", Fuzzy Sets and Systems 66, 293-299.
6. Chanas, S. (1983), "The use of parametric programming in fuzzy linear programming", Fuzzy Sets and Systems 11, 243-251.
7. Chanas, S., Kolodziejczyk, W., and Machaj, A. (1984), "A fuzzy approach to the transportation problem", Fuzzy Sets and Systems 13, 211-221.
8. Charnes, A., and Cooper, W.W. (1962), "Programming with linear fractional functionals", Naval Research Logistics Quarterly 9, 181-186.
9. Delgado, M., Herrera, F., Verdegay, J.L., and Vila, M.A. (1993), "Post-optimality analysis on the membership function of a fuzzy linear programming problem", Fuzzy Sets and Systems 53, 289-297.
10. Fornari, R.E., and Grossmann, I.E. (1986), "Long range planning models for process selection and capacity expansion in the chemical industry", Progress Report, Carnegie Mellon University.
11. Garcia-Aguado, C., and Verdegay, J.L. (1993), "On the sensitivity of membership functions for fuzzy linear programming problems", Fuzzy Sets and Systems 56, 47-49.
12. Grossmann, I.E., and Santibanez, J. (1980), "Applications of mixed-integer linear programming in process synthesis", Computers and Chemical Engineering 4, 205-214.
13. Grossmann, I.E., and Straub, D.A. (1991), "Recent developments in the evaluation and optimization of flexible chemical processes", in: L. Puigjaner and A. Epuna (eds.), Computer-Oriented Process Engineering, Elsevier Science Publishers B.V., Amsterdam, 49-59.
14. Grossmann, I.E., Halemane, K.P., and Swaney, R.E. (1983), "Optimization strategies for chemical processes", Computers and Chemical Engineering 7/4, 439-462.
15. Herrera, F., and Verdegay, J.L. (1984), "Approaching fuzzy integer linear programming problems", in H.-J. Zimmermann, L.A. Zadeh and B.R. Gaines (eds.), Fuzzy Sets and Decision Analysis, North-Holland, New York, 78-91.
16. Herrera, F., Verdegay, J.L., and Zimmermann, H.-J. (1993), "Boolean programming problems with fuzzy constraint", Fuzzy Sets and Systems 55, 285-293.
17. Himmelblau, D.M., and Bickel, T.C. (1980), "Optimal expansion of a hydrodesulfurization process", Computers and Chemical Engineering 4, 101-112.
18. IBM (1991), Optimization Subroutine Library Guide and Reference Release 2, 3rd ed., Kingston, NY.
19. Inuiguchi, M., and Ichihashi, H. (1990), "Relative modalities and their use in possibilistic linear programming", Fuzzy Sets and Systems 35, 303-323.
20. Inuiguchi, M., Ichihashi, H., and Kume, Y. (1992), "Relationships between modality constrained programming problems and various fuzzy mathematical programming problems", Fuzzy Sets and Systems 49, 243-259.
21. Inuiguchi, M., Ichihashi, H., and Tanaka, H. (1990), "A survey of recent developments", in: R. Lowinski and J. Teghem (eds.), (1990), Stochastic versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty, Kluwer Academic Publishers, Dordrecht, 45-68.
22. Inuiguchi, M., Sakawa, M., and Kume, Y. (1994), "The usefulness of possibilistic programming in production planning problems", International Journal of Production Economics 33, 45-52.
23. Lai, Y.-J., and Hwang, C.-L. (1993a), "Possibilistic linear programming for managing interest rate risk", Fuzzy Sets and Systems 54, 135-146.
24. Lai, Y.-J., and Hwang, C.-L. (1993b), "A stochastic possibilistic programming model for bank hedging decision problems", Fuzzy Sets and Systems 57, 351-363.
25. Liu, M.L., (1995) "Optimization tools for process planning", Ph.D. Dissertation, University of Illinois, Urbana, IL.
26. Liu, M.L., and Sahinidis, N.V. (1995), "Computational trends and effects of approximations on MILP model for process planning", Industrial and Engineering Chemistry - Research 34/5, 1662-1673.
27. Liu, M.L., and Sahinidis, N.V. (1996), "Long range planning in the process industries. A projection approach", Computers & Operations Research, 23, 237-253.
28. Luhandjula, M.K. (1989), "Fuzzy optimization: An appraisal", Fuzzy Sets and Systems 30, 257-282.
29. Manne, A.S. (ed.), (1967), Investments for Capacity Expansion, MIT Press, Cambridge, MA.
30. McCormick, G.P. (1983), Nonlinear Programming. Theory, Algorithms, and Applications. Wiley Interscience, New York.
31. Negoita, C.V. (1981), "The current interest in fuzzy optimization", Fuzzy Sets and Systems 6, 261-269.
32. Nemhauser, G.L., and Wolsey, L.A. (1988), Integer and Combinatorial Optimization, Wiley, New York.
33. Pickenss, J.B., and Hof, J.G. (1991), "Fuzzy goal programming in forestry: An application with special solution problems", Fuzzy Sets and Systems 39, 239-246.
34. Pistikopoulos, E.N. (1995), "Uncertainty in process design and operations", Computers and Chemical Engineering 19/S, S553-S563.
35. Pistikopoulos, E.N., and Grossmann, I.E. (1988a), "Evaluation and redesign for improving flexibility in linear systems", Computers and Chemical Engineering 12/7, 719-731.
36. Pistikopoulos, E.N., and Grossmann, I.E. (1988b), "Optimal retrofit design for improving process flexibility in linear systems with infeasible nominal conditions", Computers and Chemical Engineering 12/8, 841-843.
37. Pistikopoulos, E.N., and Grossmann, I.E. (1988c), "Stochastic optimization of flexibility in retrofit design of linear systems", Computers and Chemical Engineering 12/12, 1215-1227.
38. Pistikopoulos, E.N., and Mazzuchi, T.A. (1990), "A novel flexibility approach for processes with stochastic parameters", Computers and Chemical Engineering 14/9, 991-1000.
39. Ryoo, H.S., and Sahinidis, N.V. (1995), "Global optimization of nonconvex NLPs and MINLPs with applications in process design", Computers and Chemical Engineering 19/5, 551-566.
40. Ryoo, H.S., and Sahinidis, N.V. (1996), "A branch-and-reduce approach to global optimization", Journal of Global Optimization 8/2, 107-139.
41. Saade, J.J. (1994), "Maximization of a function over a fuzzy domain", Fuzzy Sets and Systems 62, 55-70.
42. Sahinidis, N.V., and Grossmann, I.E. (1991a), "Reformulation of multiperiod MILP models for planning and scheduling of chemical processes", Computers and Chemical Engineering 15/4, 255-272.
43. Sahinidis, N.V., and Grossmann, I.E. (1991b), "Multiperiod investment model for processing networks with dedicated and flexible plants", Industrial and Engineering Chemistry Research 30, 1165-1171.
44. Sahinidis, N.V., and Grossmann, I.E. (1992), "Reformulation of the multi-period MILP model for capacity expansion of chemical processes", Operations Research 40/S1, S127-S144.
45. Sahinidis, N.V., Grossmann, I.E., Fornari, R., and Chathrathi, M. (1989), "Long range planning model for the chemical process industries", Computers and Chemical Engineering 13/9, 1049-1063.
46. Sherali H.D., and Alameddine, A. (1992), "A new reformulation-linearization technique for bilinear programming problems", Journal of Global Optimization 2/4, 379-410.
47. Shimizu, Y., and Takamatsu, T. (1985), "Application of mixed-integer linear programming in multiterm expansion planning under multiobjectives", Computers and Chemical Engineering 9, 367-377.
48. Slowinski, R. (1986), "A multicriteria fuzzy linear programming method for water supply system development planning", Fuzzy Sets and Systems 19, 217-237.
49. Straub, D.A., and Grossmann, I.E. (1990), "Integrated stochastic metric of flexibility for systems with discrete state and continuous parameter uncertainties", Computers and Chemical Engineering 14/9, 967-985.
50. Swaney, R.E., and Grossmann, I.E. (1985), "An index for operational flexibility in chemical process design: Part I. formulation and theory", AIChE Journal 31/4, 621-630.
51. Tanaka, H., and Asai, K. (1984), "Fuzzy linear programming problems with fuzzy numbers", Fuzzy Sets and Systems 13, 1-10.
52. Tanaka, H., Okuda, T., and Asai, K. (1974), "On fuzzy mathematical programming", Journal of Cybernet 3, 37-46.
53. Tong, S. (1994), "Interval number and fuzzy number linear programming", Fuzzy Sets and Systems 66, 301-306.
54. Zimmermann, H.-J. (1978), "Fuzzy programming and linear programming with several objective functions", Fuzzy Sets and Systems 1, 45-55.
55. Zimmermann, H.-J. (1987), Fuzzy Sets and Decision Making, and Expert Systems, Kluwer Academic Publishers, Boston, MA.
56. Zimmermann, H.-J. (1991), Fuzzy Set Theory and its Application, 2nd ed., Kluwer Academic Publishers, Boston, MA.
57. Zimmermann, H.-J., and Pollatschek, M.A. (1984), "Fuzzy 0-1 linear program", in: H.-J. Zimmermann, L.A. Zadeh and B.R. Gaines (eds.), Fuzzy Sets and Decision Analysis, North-Holland, New York, 133-145.