메뉴 건너뛰기




Volumn 12, Issue 4, 1998, Pages 325-351

A Generic Global Optimization Algorithm for the Chemical and Phase Equilibrium Problem

Author keywords

Chemical and phase equilibrium; Convexity; Gibbs free energy; Global optimization; Non convex optimization; Tangent plane criterion

Indexed keywords

ALGORITHMS; FREE ENERGY; MATHEMATICAL MODELS; MIXTURES; NONLINEAR EQUATIONS; PHASE EQUILIBRIA; THERMODYNAMICS;

EID: 0001349393     PISSN: 09255001     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008298110010     Document Type: Article
Times cited : (31)

References (38)
  • 1
    • 0023362435 scopus 로고
    • The Isothermal Flash Problem: New Methods for Phase Split Calculations
    • Ammar, M. and Renon, H. (1987), The Isothermal Flash Problem: New Methods for Phase Split Calculations, American Institute of Chemical Engineering Journal 33(6), 926-939.
    • (1987) American Institute of Chemical Engineering Journal , vol.33 , Issue.6 , pp. 926-939
    • Ammar, M.1    Renon, H.2
  • 3
    • 1842846005 scopus 로고    scopus 로고
    • A Parallel Algorithm for the Global Minimization of Gibbs Free Energy
    • to appear
    • Berner, S., McKinnon, K.I.M. and Millar, C. (1998), A Parallel Algorithm for the Global Minimization of Gibbs Free Energy, Annals of Operations Research, to appear.
    • (1998) Annals of Operations Research
    • Berner, S.1    McKinnon, K.I.M.2    Millar, C.3
  • 6
    • 0021199391 scopus 로고
    • The Solution of the Chemical Equilibrium Programming Problem with Generalized Benders Decomposition
    • Clasen, R.J. (1984), The Solution of the Chemical Equilibrium Programming Problem with Generalized Benders Decomposition, Operations Research 32, 70-79.
    • (1984) Operations Research , vol.32 , pp. 70-79
    • Clasen, R.J.1
  • 9
    • 0025625478 scopus 로고
    • A Global Optimization Algorithm (GOP) for Certain Classes of Nonconvex NLPs: Theory
    • Floudas, C. and Visweswaran, V. (1990), A Global Optimization Algorithm (GOP) for Certain Classes of Nonconvex NLPs: Theory, Computers and Chemical Engineering 14(12), 1397-1417.
    • (1990) Computers and Chemical Engineering , vol.14 , Issue.12 , pp. 1397-1417
    • Floudas, C.1    Visweswaran, V.2
  • 14
    • 0000213007 scopus 로고
    • Graphical Methods in Thermodynamics of Fluids
    • Gibbs, J. (1873a), Graphical Methods in Thermodynamics of Fluids, Trans. Connecticut Acad. 2, 311.
    • (1873) Trans. Connecticut Acad. , vol.2 , pp. 311
    • Gibbs, J.1
  • 15
    • 0000914494 scopus 로고
    • A Method of Geometrical Representation of the Thermodynamic Properties of Substances by Means of Surfaces
    • Gibbs, J. (1873b), A Method of Geometrical Representation of the Thermodynamic Properties of Substances by Means of Surfaces, Trans. Connecticut Acad. 2, 382.
    • (1873) Trans. Connecticut Acad. , vol.2 , pp. 382
    • Gibbs, J.1
  • 16
    • 0026117689 scopus 로고
    • New Strategy for Phase-Equilibrium and Critical-point Calculations by Thermodynamic Energy Analysis, I: Stability Analysis and Flash
    • Griewank, A., Nagarajan, N. and Cullick, A. (1991), New Strategy for Phase-Equilibrium and Critical-point Calculations by Thermodynamic Energy Analysis, I: Stability Analysis and Flash, Fluid Phase Equilibria 62, 191-210.
    • (1991) Fluid Phase Equilibria , vol.62 , pp. 191-210
    • Griewank, A.1    Nagarajan, N.2    Cullick, A.3
  • 17
    • 0001211580 scopus 로고
    • Global Optimality Conditions and Their Geometric Interpretation for the Chemical and Phase Equilibrium Problem
    • Jiang, Y., Smith, W. and Chapman, G. (1995), Global Optimality Conditions and Their Geometric Interpretation for the Chemical and Phase Equilibrium Problem, SIAM Journal on Optimization 5(4), 813-834.
    • (1995) SIAM Journal on Optimization , vol.5 , Issue.4 , pp. 813-834
    • Jiang, Y.1    Smith, W.2    Chapman, G.3
  • 19
    • 0001140188 scopus 로고
    • Decomposition Based and Branch and Bound Global Optimization Approaches for the Phase Equilibrium Problem
    • McDonald, C.M. and Floudas, C.A. (1994a), Decomposition Based and Branch and Bound Global Optimization Approaches for the Phase Equilibrium Problem, Journal of Global Optimization 5(3), 205-251.
    • (1994) Journal of Global Optimization , vol.5 , Issue.3 , pp. 205-251
    • McDonald, C.M.1    Floudas, C.A.2
  • 21
    • 0029395174 scopus 로고
    • Global Optimization for the Phase and Chemical Equilibrium Problem: Application to the NRTL Equation
    • McDonald, C.M. and Floudas, C.A. (1995a), Global Optimization for the Phase and Chemical Equilibrium Problem: Application to the NRTL Equation, Computers and Chemical Engineering 19(11), 1111-1141.
    • (1995) Computers and Chemical Engineering , vol.19 , Issue.11 , pp. 1111-1141
    • McDonald, C.M.1    Floudas, C.A.2
  • 23
    • 0030244667 scopus 로고    scopus 로고
    • GLOPEQ: A New Computational Tool for the Phase and Chemical Equilibrium Problem
    • McDonald, C.M. and Floudas, C.A. (1996), GLOPEQ: A New Computational Tool for the Phase and Chemical Equilibrium Problem, Computers and Chemical Engineering 21(1), 1-23.
    • (1996) Computers and Chemical Engineering , vol.21 , Issue.1 , pp. 1-23
    • McDonald, C.M.1    Floudas, C.A.2
  • 24
    • 0002879364 scopus 로고    scopus 로고
    • Global Optimization for the Chemical and Phase Equilibrium Problem Using Interval Analysis
    • C.A. Floudas and P.M. Pardalos (eds.), Kluwer Academic Publishers
    • McKinnon, K., Millar, C. and Mongeau, M. (1996), Global Optimization for the Chemical and Phase Equilibrium Problem Using Interval Analysis, in C.A. Floudas and P.M. Pardalos (eds.), State of the An in Global Optimization, Kluwer Academic Publishers, pp. 365-382.
    • (1996) State of the An in Global Optimization , pp. 365-382
    • McKinnon, K.1    Millar, C.2    Mongeau, M.3
  • 26
    • 33845632245 scopus 로고
    • The Isothermal Flash Problem, Part I: Stability
    • Michelsen, M.L. (1982a), The Isothermal Flash Problem, Part I: Stability, Fluid Phase Equilibria 9, 1-19.
    • (1982) Fluid Phase Equilibria , vol.9 , pp. 1-19
    • Michelsen, M.L.1
  • 27
    • 1542740133 scopus 로고
    • The Isothermal Flash Problem, Part II: Phase-split Calculation
    • Michelsen, M.L. (1982b), The Isothermal Flash Problem, Part II: Phase-split Calculation, Fluid Phase Equilibria 9, 21-40.
    • (1982) Fluid Phase Equilibria , vol.9 , pp. 21-40
    • Michelsen, M.L.1
  • 28
    • 0021439168 scopus 로고
    • Computation of Multiphase Equilibrium Phenomena with an Equation of State
    • Nghiem, L.X. and Y.-K. Li (1984), Computation of Multiphase Equilibrium Phenomena with an Equation of State, Fluid Phase Equilibria 17, 77-95.
    • (1984) Fluid Phase Equilibria , vol.17 , pp. 77-95
    • Nghiem, L.X.1    Li, Y.-K.2
  • 29
    • 0024680882 scopus 로고
    • Gibbs Energy of Mixing from Empirical Models
    • Peng, D. (1989), Gibbs Energy of Mixing from Empirical Models, Canadian Journal of Chemical Engineering 67(3), 462-467.
    • (1989) Canadian Journal of Chemical Engineering , vol.67 , Issue.3 , pp. 462-467
    • Peng, D.1
  • 35
    • 1542439085 scopus 로고
    • Homotopy-Continuation Algorithm for Global Optimization
    • C.A. Floudas and P.M. Pardalos (eds.), Princeton University Press
    • Sun, A.C. and Seider, W.D. (1992), Homotopy-Continuation Algorithm for Global Optimization, in C.A. Floudas and P.M. Pardalos (eds.), Recent Advances in Global Optimization, Princeton University Press, pp. 561-592.
    • (1992) Recent Advances in Global Optimization , pp. 561-592
    • Sun, A.C.1    Seider, W.D.2
  • 36
    • 0023129228 scopus 로고
    • Customized Minimization Techniques for Phase Equilibrium Computations in Reservoir Simulation
    • Trangenstein, J.A. (1987), Customized Minimization Techniques for Phase Equilibrium Computations in Reservoir Simulation, Chemical Engineering Science 42(12), 2847-2863.
    • (1987) Chemical Engineering Science , vol.42 , Issue.12 , pp. 2847-2863
    • Trangenstein, J.A.1
  • 37
    • 0039426163 scopus 로고
    • A Resource Decomposition Algorithm for General Mathematical Programs
    • Wolsey, L. (1981), A Resource Decomposition Algorithm for General Mathematical Programs, Mathematical Programming Study 14, 244-257.
    • (1981) Mathematical Programming Study , vol.14 , pp. 244-257
    • Wolsey, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.