메뉴 건너뛰기




Volumn 32, Issue 3, 2008, Pages 477-493

An improved piecewise outer-approximation algorithm for the global optimization of MINLP models involving concave and bilinear terms

Author keywords

Bilinear terms; Concave terms; Global optimization; Minlp; Piecewise relaxation

Indexed keywords

APPROXIMATION ALGORITHMS; COMPUTATION THEORY; DISTILLATION; GLOBAL OPTIMIZATION; HEAT EXCHANGERS; INTEGER PROGRAMMING; PIECEWISE LINEAR TECHNIQUES;

EID: 38149069809     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compchemeng.2007.03.011     Document Type: Article
Times cited : (115)

References (29)
  • 2
    • 31844436267 scopus 로고
    • Global optimization as an extension of integer programming
    • L. C. W. Dixon & P. G. Szegö (Eds.), Amsterdam: North-Holland
    • Beale, E. M. L., & Forrest, J. J. H. (1978). Global optimization as an extension of integer programming. In L. C. W. Dixon & P. G. Szegö (Eds.), Towards global optimization 2. Amsterdam: North-Holland.
    • (1978) Towards global optimization 2
    • Beale, E.M.L.1    Forrest, J.J.H.2
  • 3
    • 24144473642 scopus 로고    scopus 로고
    • Logic based outer approximation for global optimization of synthesis of process networks
    • Bergamini, M. L., Aguirre, P., & Grossmann, I. E. (2005a). Logic based outer approximation for global optimization of synthesis of process networks. Computers and Chemical Engineering, 29, 1914-1933.
    • (2005) Computers and Chemical Engineering , vol.29 , pp. 1914-1933
    • Bergamini, M.L.1    Aguirre, P.2    Grossmann, I.E.3
  • 6
    • 0037110686 scopus 로고    scopus 로고
    • Global optimization of heat exchanger network synthesis problems with and without the isothermal mixing assumption
    • Björk, K-M., & Westerlund, T. (2002). Global optimization of heat exchanger network synthesis problems with and without the isothermal mixing assumption. Computers and Chemical Engineering, 26, 1581-1593.
    • (2002) Computers and Chemical Engineering , vol.26 , pp. 1581-1593
    • Björk, K.-M.1    Westerlund, T.2
  • 7
    • 85031232536 scopus 로고    scopus 로고
    • GAMS Language Guide, Release 2.25, Version 92. GAMS Development Corporation
    • Brooke A., Kendrick D., Meeraus A., Raman R., (1997). GAMS Language Guide, Release 2.25, Version 92. GAMS Development Corporation.
    • (1997)
    • Brooke, A.1    Kendrick, D.2    Meeraus, A.3    Raman, R.4
  • 9
    • 0022902024 scopus 로고
    • An outer-approximation algorithm for a class of mixed integer nonlinear programs
    • Duran, M. A., & Grossmann, I. E. (1986). An outer-approximation algorithm for a class of mixed integer nonlinear programs. Mathematical Programming, 36, 307.
    • (1986) Mathematical Programming , vol.36 , pp. 307
    • Duran, M.A.1    Grossmann, I.E.2
  • 10
    • 33947605053 scopus 로고
    • Solving mixed Integer nonlinear programs by outer approximation
    • Fletcher, R., & Leyffer, S. (1994). Solving mixed Integer nonlinear programs by outer approximation. Mathematical Programming, 66, 550.
    • (1994) Mathematical Programming , vol.66 , pp. 550
    • Fletcher, R.1    Leyffer, S.2
  • 11
    • 0003395475 scopus 로고    scopus 로고
    • Deterministic global optimization: Theory
    • Dordrecht, The Netherlands: Kluwer, Academic Publishers
    • Floudas, C. A. (2000). Deterministic global optimization: Theory. In Methods and Applications. Dordrecht, The Netherlands: Kluwer, Academic Publishers.
    • (2000) Methods and Applications
    • Floudas, C.A.1
  • 12
    • 0032194739 scopus 로고    scopus 로고
    • Optimal design of distributed wastewater treatment networks
    • Galan, B., & Grossmann, I. E. (1998). Optimal design of distributed wastewater treatment networks. Industrial and Engineering Chemistry Research, 37(10), 4036.
    • (1998) Industrial and Engineering Chemistry Research , vol.37 , Issue.10 , pp. 4036
  • 13
    • 0141664156 scopus 로고    scopus 로고
    • Review of nonlinear mixed-integer and disjunctive programming techniques
    • Grossmann, I. E. (2002). Review of nonlinear mixed-integer and disjunctive programming techniques. Optimization and Engineering, 3, 227-252.
    • (2002) Optimization and Engineering , vol.3 , pp. 227-252
    • Grossmann, I.E.1
  • 15
    • 33344476205 scopus 로고    scopus 로고
    • Global optimization for the synthesis of integrated water system in chemical processes
    • Karuppiah, R., & Grossmann, I. (2006). Global optimization for the synthesis of integrated water system in chemical processes. Computers and Chemical Engineering, 30, 650.
    • (2006) Computers and Chemical Engineering , vol.30 , pp. 650
    • Karuppiah, R.1    Grossmann, I.2
  • 16
    • 0142029542 scopus 로고    scopus 로고
    • Models for representing piecewise linear cost functions
    • Keha, A., Farias, I., & Nemhauser,G. (2004). Models for representing piecewise linear cost functions. Operations Research Letters, 32, 44-48.
    • (2004) Operations Research Letters , vol.32 , pp. 44-48
    • Keha, A.1    Farias, I.2    Nemhauser, G.3
  • 17
    • 0142043498 scopus 로고    scopus 로고
    • Global optimization for nonlinear generalized disjunctive programming with bilinear equality constraints: Applications to process networks
    • Lee, S., & Grossmann, I. E. (2003). Global optimization for nonlinear generalized disjunctive programming with bilinear equality constraints: Applications to process networks. Comp. Chem. Eng., 27(11), 1557.
    • (2003) Comp. Chem. Eng. , vol.27 , Issue.11 , pp. 1557
    • Lee, S.1    Grossmann, I.E.2
  • 18
    • 0142011931 scopus 로고    scopus 로고
    • Polyhedral methods for piecewise-linear functions. I. The lambda method
    • Lee, J., & Wilson, D. (2001). Polyhedral methods for piecewise-linear functions. I. The lambda method. Discrete Applied Mathematics, 108, 269-285.
    • (2001) Discrete Applied Mathematics , vol.108 , pp. 269-285
    • Lee, J.1    Wilson, D.2
  • 20
    • 29044440180 scopus 로고    scopus 로고
    • Mixed integer models for the stationary case of gas network optimization
    • Martin, A., Möller, M., & Moritz, S. (2006). Mixed integer models for the stationary case of gas network optimization. Mathematical Programming Series B, 105, 563-582.
    • (2006) Mathematical Programming Series B , vol.105 , pp. 563-582
    • Martin, A.1    Möller, M.2    Moritz, S.3
  • 21
    • 0034238783 scopus 로고    scopus 로고
    • Approximating separable nonlinear functions via mixed zero-one programs
    • Padberg, M. (2000). Approximating separable nonlinear functions via mixed zero-one programs. Operations Research Letters, 27, 1-5.
    • (2000) Operations Research Letters , vol.27 , pp. 1-5
    • Padberg, M.1
  • 22
    • 0021583655 scopus 로고
    • A replacement for the logarithmic mean
    • Paterson, W. R. (1984). A replacement for the logarithmic mean. Chemical Engineering Science, 39(11), 1635-1636.
    • (1984) Chemical Engineering Science , vol.39 , Issue.11 , pp. 1635-1636
    • Paterson, W.R.1
  • 23
    • 0001822918 scopus 로고
    • A global optimization algorithm for linear fractional and bilinear programs
    • Quesada, I., & Grossmann, I. E. (1995). A global optimization algorithm for linear fractional and bilinear programs. Journal of Global Optimization, 6, 39.
    • (1995) Journal of Global Optimization , vol.6 , pp. 39
    • Quesada, I.1    Grossmann, I.E.2
  • 24
    • 0000318768 scopus 로고    scopus 로고
    • BARON: A general purpose global optimization software package
    • Sahinidis, N. (1996). BARON: A general purpose global optimization software package. Journal of Global Optimization, 8(2), 201.
    • (1996) Journal of Global Optimization , vol.8 , Issue.2 , pp. 201
    • Sahinidis, N.1
  • 25
    • 34249831859 scopus 로고
    • A new reformulation-linearization technique for bilinear programming problems
    • Sherali, H. D., & Alameddine, A. (1992). A new reformulation-linearization technique for bilinear programming problems. Journal of Global Optimization, 2, 379.
    • (1992) Journal of Global Optimization , vol.2 , pp. 379
    • Sherali, H.D.1    Alameddine, A.2
  • 27
    • 0025496615 scopus 로고
    • Simultaneous optimization models for heat integration. II. Heat exchanger network synthesis
    • Yee, T., & Grossmann, I. (1990). Simultaneous optimization models for heat integration. II. Heat exchanger network synthesis. Computers and Chemical Engineering, 14, 1165.
    • (1990) Computers and Chemical Engineering , vol.14 , pp. 1165
    • Yee, T.1    Grossmann, I.2
  • 28
    • 0033544451 scopus 로고    scopus 로고
    • Nonlinear disjunctive programming models for the synthesis of heat integrated distillation sequences
    • Yeomans, H., & Grossmann, I. E. (1999). Nonlinear disjunctive programming models for the synthesis of heat integrated distillation sequences. Computers and Chemical Engineering, 23, 1135.
    • (1999) Computers and Chemical Engineering , vol.23 , pp. 1135
    • Yeomans, H.1    Grossmann, I.E.2
  • 29
    • 0001197630 scopus 로고    scopus 로고
    • A branch and contract algorithm for problems with concave univariate, bilinear and linear fractional terms
    • Zamora, J. M., & Grossmann, I. E. (1999). A branch and contract algorithm for problems with concave univariate, bilinear and linear fractional terms. Journal of Global Optimization, 14, 217.
    • (1999) Journal of Global Optimization , vol.14 , pp. 217
    • Zamora, J.M.1    Grossmann, I.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.