-
3
-
-
2942665751
-
Global optimization of mixed-integer nonlinear programs: A theoretical and computational study
-
M. Tawarmalani, and N.V. Sahinidis Global optimization of mixed-integer nonlinear programs: a theoretical and computational study Math. Program. 99 2004 563 591
-
(2004)
Math. Program.
, vol.99
, pp. 563-591
-
-
Tawarmalani, M.1
Sahinidis, N.V.2
-
4
-
-
0034282316
-
Global optimization of mixed-integer nonlinear problems
-
C.S. Adjiman, I.P. Androulakis, and C.A. Floudas Global optimization of mixed-integer nonlinear problems AIChE J. 46 9 2000 1769 1797
-
(2000)
AIChE J.
, vol.46
, Issue.9
, pp. 1769-1797
-
-
Adjiman, C.S.1
Androulakis, I.P.2
Floudas, C.A.3
-
5
-
-
18244364780
-
Outer approximation algorithms for separable nonconvex mixed-integer nonlinear programs
-
P. Kesavan, R.J. Allgor, E.P. Gatzke, and P.I. Barton Outer approximation algorithms for separable nonconvex mixed-integer nonlinear programs Math. Program. Ser. A 100 2004 517 535
-
(2004)
Math. Program. Ser. A
, vol.100
, pp. 517-535
-
-
Kesavan, P.1
Allgor, R.J.2
Gatzke, E.P.3
Barton, P.I.4
-
6
-
-
80255138320
-
Nonconvex generalized Benders decomposition for stochastic separable mixed-integer nonlinear programs
-
X. Li, A. Tomasgard, and P.I. Barton Nonconvex generalized Benders decomposition for stochastic separable mixed-integer nonlinear programs J. Opt. Theory Appl. 151 3 2011 425 454
-
(2011)
J. Opt. Theory Appl.
, vol.151
, Issue.3
, pp. 425-454
-
-
Li, X.1
Tomasgard, A.2
Barton, P.I.3
-
7
-
-
84866923752
-
Nonconvex generalized Benders decomposition with piecewise convex relaxations for global optimization of integrated process design and operation problems
-
X. Li, Y. Chen, and P.I. Barton Nonconvex generalized Benders decomposition with piecewise convex relaxations for global optimization of integrated process design and operation problems Ind. Eng. Chem. Res. 51 21 2012 7287 7299
-
(2012)
Ind. Eng. Chem. Res.
, vol.51
, Issue.21
, pp. 7287-7299
-
-
Li, X.1
Chen, Y.2
Barton, P.I.3
-
8
-
-
84941369476
-
Optimal design and operation of energy systems under uncertainty
-
P.I. Barton, and X. Li Optimal design and operation of energy systems under uncertainty Dyn. Control Process Syst. 2013 2013 105 110
-
(2013)
Dyn. Control Process Syst.
, vol.2013
, pp. 105-110
-
-
Barton, P.I.1
Li, X.2
-
9
-
-
9644308639
-
Partitioning procedures for solving mixed-variables programming problems
-
J.F. Benders Partitioning procedures for solving mixed-variables programming problems Numer. Math. 4 1962 238 252
-
(1962)
Numer. Math.
, vol.4
, pp. 238-252
-
-
Benders, J.F.1
-
10
-
-
0015419856
-
Generalized Benders decomposition
-
A.M. Geoffrion Generalized Benders decomposition J. Opt. Theory Appl. 10 4 1972 237 260
-
(1972)
J. Opt. Theory Appl.
, vol.10
, Issue.4
, pp. 237-260
-
-
Geoffrion, A.M.1
-
11
-
-
0000462003
-
Elements of large-scale mathematical programming: Part II: Synthesis of algorithms and bibliography
-
A.M. Geoffrion Elements of large-scale mathematical programming: Part II: Synthesis of algorithms and bibliography Manage. Sci. 16 11 1970 652 675
-
(1970)
Manage. Sci.
, vol.16
, Issue.11
, pp. 652-675
-
-
Geoffrion, A.M.1
-
12
-
-
0003278702
-
Construction of convex relaxations using automated code generation technique
-
E.P. Gatzke, J.E. Tolsma, and P.I. Barton Construction of convex relaxations using automated code generation technique Opt. Eng. 3 2002 305 326
-
(2002)
Opt. Eng.
, vol.3
, pp. 305-326
-
-
Gatzke, E.P.1
Tolsma, J.E.2
Barton, P.I.3
-
13
-
-
33947605053
-
Solving mixed integer nonlinear programs by outer approximation
-
R. Fletcher, and S. Leyffer Solving mixed integer nonlinear programs by outer approximation Math. Program. 66 1994 327 349
-
(1994)
Math. Program.
, vol.66
, pp. 327-349
-
-
Fletcher, R.1
Leyffer, S.2
-
14
-
-
70450198575
-
McCormick-based relaxations of algorithms
-
A. Mitsos, B. Chachuat, and P.I. Barton McCormick-based relaxations of algorithms SIAM J. Opt. 20 2 2009 573 601
-
(2009)
SIAM J. Opt.
, vol.20
, Issue.2
, pp. 573-601
-
-
Mitsos, A.1
Chachuat, B.2
Barton, P.I.3
-
15
-
-
0003374163
-
Canonical cuts on the unit hypercube
-
E. Balas, and R. Jeroslow Canonical cuts on the unit hypercube SIAM J. Appl. Math. 23 1 1972 61 69
-
(1972)
SIAM J. Appl. Math.
, vol.23
, Issue.1
, pp. 61-69
-
-
Balas, E.1
Jeroslow, R.2
-
16
-
-
67650096962
-
Computational comparison of piecewise-linear relaxations for pooling problems
-
C. Gounaris, R. Misener, and C. Floudas Computational comparison of piecewise-linear relaxations for pooling problems Ind. Eng. Chem. Res. 48 2009 5742 5766
-
(2009)
Ind. Eng. Chem. Res.
, vol.48
, pp. 5742-5766
-
-
Gounaris, C.1
Misener, R.2
Floudas, C.3
-
17
-
-
34250381644
-
Computability of global solutions to factorable nonconvex programs: Part i - Convex underestimating problems
-
G.P. McCormick Computability of global solutions to factorable nonconvex programs: Part I - Convex underestimating problems Math. Program. 10 1976 147 175
-
(1976)
Math. Program.
, vol.10
, pp. 147-175
-
-
McCormick, G.P.1
-
18
-
-
83555172534
-
Generalized McCormick relaxations
-
J. Scott, M. Stuber, and P. Barton Generalized McCormick relaxations J. Glob. Opt. 51 4 2011 569 606 10.1007/s10898-011-9664-7
-
(2011)
J. Glob. Opt.
, vol.51
, Issue.4
, pp. 569-606
-
-
Scott, J.1
Stuber, M.2
Barton, P.3
-
19
-
-
0016619730
-
Improved linear integer programming formulations of nonlinear integer problems
-
F. Glover Improved linear integer programming formulations of nonlinear integer problems Manage. Sci. 22 4 1975 455 460
-
(1975)
Manage. Sci.
, vol.22
, Issue.4
, pp. 455-460
-
-
Glover, F.1
-
20
-
-
38849098993
-
A short-term operational planning model for natural gas production systems
-
A. Selot, L.K. Kuok, M. Robinson, T.L. Mason, and P.I. Barton A short-term operational planning model for natural gas production systems AIChE J. 54 2 2008 495 515
-
(2008)
AIChE J.
, vol.54
, Issue.2
, pp. 495-515
-
-
Selot, A.1
Kuok, L.K.2
Robinson, M.3
Mason, T.L.4
Barton, P.I.5
-
21
-
-
79954530923
-
Stochastic pooling problem for natural gas production network design and operation under uncertainty
-
X. Li, E. Armagan, A. Tomasgard, and P.I. Barton Stochastic pooling problem for natural gas production network design and operation under uncertainty AIChE J. 57 8 2011 2120 2135
-
(2011)
AIChE J.
, vol.57
, Issue.8
, pp. 2120-2135
-
-
Li, X.1
Armagan, E.2
Tomasgard, A.3
Barton, P.I.4
-
22
-
-
84866034838
-
Decomposition strategy for the global optimization of flexible energy polygeneration system
-
Y. Chen, X. Li, T.A. Adams II, and P.I. Barton Decomposition strategy for the global optimization of flexible energy polygeneration system AIChE J. 58 10 2012 3080 3095
-
(2012)
AIChE J.
, vol.58
, Issue.10
, pp. 3080-3095
-
-
Chen, Y.1
Li, X.2
Adams, I.I.T.A.3
Barton, P.I.4
-
23
-
-
0000800872
-
Stochastic decomposition: An algorithm for two-stage linear programs with recourse
-
J.L. Higle, and S. Sen Stochastic decomposition: An algorithm for two-stage linear programs with recourse Math. Oper. Res. 16 1991 650 669
-
(1991)
Math. Oper. Res.
, vol.16
, pp. 650-669
-
-
Higle, J.L.1
Sen, S.2
-
24
-
-
0037321577
-
Scenario reduction algorithms in stochastic programming
-
H. Heitsch, and W. Römisch Scenario reduction algorithms in stochastic programming Comput. Opt. Appl. 24 2003 187 206
-
(2003)
Comput. Opt. Appl.
, vol.24
, pp. 187-206
-
-
Heitsch, H.1
Römisch, W.2
-
25
-
-
0036013019
-
The sample average approximation method for stochastic discrete optimization
-
A.J. Kleywegt, A. Shapiro, and T. Homem-De-Mello The sample average approximation method for stochastic discrete optimization SIAM J. Opt. 12 2001 479 502
-
(2001)
SIAM J. Opt.
, vol.12
, pp. 479-502
-
-
Kleywegt, A.J.1
Shapiro, A.2
Homem-De-Mello, T.3
|