Part II. Future perspective on optimization

被引:137
作者
Grossmann, IE [1 ]
Biegler, LT [1 ]
机构
[1] Carnegie Mellon Univ, Dept Chem Engn, Pittsburgh, PA 15213 USA
关键词
nonlinear programs; optimization; scientific computing;
D O I
10.1016/j.compchemeng.2003.11.006
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Following from part I, which presents a retrospective on optimization, we focus here on areas that are recent active research topics and are likely to strongly influence the future of optimization algorithms and formulations. First, we discuss recent developments in deterministic global optimization algorithms applied to both nonlinear programs and mixed-integer programs. Second, we discuss logic-based optimization and its influence in both modeling and solving mixed-integer optimization problems. Third, we discuss issues and approaches related to large-scale optimization algorithms and applications. Finally, we summarize recent progress in scientific computing and software engineering as applied to optimization applications. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1193 / 1218
页数:26
相关论文
共 160 条
[41]   BILEVEL PROGRAMMING FOR STEADY-STATE CHEMICAL PROCESS DESIGN .1. FUNDAMENTALS AND ALGORITHMS [J].
CLARK, PA ;
WESTERBERG, AW .
COMPUTERS & CHEMICAL ENGINEERING, 1990, 14 (01) :87-97
[42]  
Clocksin W. F., 1981, Programming in Prolog
[43]  
Cook S. A., 1971, P 3 ANN ACM S THEOR, P151, DOI DOI 10.1145/800157.805047
[44]   Constraint Logic Programming and Integer Programming approaches and their collaboration in solving an assignment scheduling problem [J].
Darby-Dowman K. ;
Little J. ;
Mitra G. ;
Zaffalon M. .
Constraints, 1997, 1 (3) :245-264
[45]   A COMPUTING PROCEDURE FOR QUANTIFICATION THEORY [J].
DAVIS, M ;
PUTNAM, H .
JOURNAL OF THE ACM, 1960, 7 (03) :201-215
[46]  
DINCBAS M, 1988, P INT C 5 GEN COMP S
[47]  
Dinkelbach Werner., 1967, Manage. Sci., V13, P492, DOI [10.1287/mnsc.13.7.492, DOI 10.1287/MNSC.13.7.492]
[48]  
DOWLING WF, 1984, LOGIC PROGRAMM, V3, P267
[49]   A combined transportation and scheduling problem [J].
Equi, L ;
Gallo, G ;
Marziale, S ;
Weintraub, A .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1997, 97 (01) :94-104
[50]   Constraint aggregation principle in convex optimization [J].
Ermoliev, YM ;
Kryazhimskii, AV ;
Ruszczynski, A .
MATHEMATICAL PROGRAMMING, 1997, 76 (03) :353-372