Performance of stochastic global optimization methods in the calculation of phase stability analyses for nonreactive and reactive mixtures

被引:46
作者
Bonilla-Petriciolet, Adrian
Vazquez-Roman, Richart
Iglesias-Silva, Gustavo A. [1 ]
Hall, Kenneth R.
机构
[1] Inst Tecnol Celaya, Dept Ingn Quim, Celaya 38010, Gto, Mexico
[2] Inst Tecnol Aguascalientes, Dept Ingn Quim, Aguascalientes 20256, Mexico
[3] Texas A&M Univ, Dept Chem Engn, College Stn, TX 77843 USA
关键词
D O I
10.1021/ie051081g
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
In this paper, we perform a comparative study of four stochastic optimization methods for calculating the phase stability of reactive and nonreactive mixtures. We have compared the algorithms: simulated annealing, very fast simulated annealing, a modified version of direct search simulated annealing, and stochastic differential equations. We test the numerical performance and reliability of these methods using several stability problems. From our results, the simulated annealing algorithm appears to be the most reliable method for minimization of the tangent plane distance function for both reactive and nonreactive mixtures.
引用
收藏
页码:4764 / 4772
页数:9
相关论文
共 39 条
[1]   A direct search variant of the simulated annealing algorithm for optimization involving continuous variables [J].
Ali, MM ;
Törn, A ;
Viitanen, S .
COMPUTERS & OPERATIONS RESEARCH, 2002, 29 (01) :87-102
[2]   ALGORITHM 667 SIGMA A STOCHASTIC-INTEGRATION GLOBAL MINIMIZATION ALGORITHM [J].
ALUFFIPENTINI, F ;
PARISI, V ;
ZIRILLI, F .
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1988, 14 (04) :366-380
[3]   A GLOBAL OPTIMIZATION ALGORITHM USING STOCHASTIC DIFFERENTIAL-EQUATIONS [J].
ALUFFIPENTINI, F ;
PARISI, V ;
ZIRILLI, F .
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1988, 14 (04) :345-365
[4]   THE ISOTHERMAL FLASH PROBLEM - NEW METHODS FOR PHASE SPLIT CALCULATIONS [J].
AMMAR, MN ;
RENON, H .
AICHE JOURNAL, 1987, 33 (06) :926-939
[5]   GIBBS ENERGY ANALYSIS OF PHASE-EQUILIBRIA [J].
BAKER, LE ;
PIERCE, AC ;
LUKS, KD .
SOCIETY OF PETROLEUM ENGINEERS JOURNAL, 1982, 22 (05) :731-742
[6]   Application of a stochastic method to the solution of the phase stability problem: cubic equations of state [J].
Balogh, J ;
Csendes, T ;
Stateva, RP .
FLUID PHASE EQUILIBRIA, 2003, 212 (1-2) :257-267
[7]   Tabu Search applied to global optimization [J].
Chelouah, R ;
Siarry, P .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2000, 123 (02) :256-270
[8]   MINIMIZING MULTIMODAL FUNCTIONS OF CONTINUOUS-VARIABLES WITH THE SIMULATED ANNEALING ALGORITHM [J].
CORANA, A ;
MARCHESI, M ;
MARTINI, C ;
RIDELLA, S .
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1987, 13 (03) :262-280
[9]  
Gibbs J., 1873, Trans. Connecticut Acad, VII, P382, DOI DOI 10.1093/NQ/S4-XII.307.382
[10]   GLOBAL OPTIMIZATION OF STATISTICAL FUNCTIONS WITH SIMULATED ANNEALING [J].
GOFFE, WL ;
FERRIER, GD ;
ROGERS, J .
JOURNAL OF ECONOMETRICS, 1994, 60 (1-2) :65-99