-
1
-
-
21044454150
-
A finite branch and bound algorithm for two-stage stochastic integer programs
-
Submitted
-
Ahmed, S., Tawarmalani, M., Sahinidis, N.V.: A finite branch and bound algorithm for two-stage stochastic integer programs. Mathematical Programming. Submitted, 2000
-
(2000)
Mathematical Programming
-
-
Ahmed, S.1
Tawarmalani, M.2
Sahinidis, N.V.3
-
2
-
-
0020752471
-
Jointly constrained biconvex programming
-
Al-Khayyal, F.A., Falk, J.E.: Jointly constrained biconvex programming. Math. Oper. Res. 8, 273-286 (1983)
-
(1983)
Math. Oper. Res.
, vol.8
, pp. 273-286
-
-
Al-Khayyal, F.A.1
Falk, J.E.2
-
3
-
-
0034345414
-
On finitely terminating branch-and-bound algorithms for some global optimization problems
-
Al-Khayyal, F.A., Sherali, H.D.: On finitely terminating branch-and-bound algorithms for some global optimization problems. SIAM J. Optim. 10, 1049-1057 (2000)
-
(2000)
SIAM J. Optim.
, vol.10
, pp. 1049-1057
-
-
Al-Khayyal, F.A.1
Sherali, H.D.2
-
4
-
-
84890245567
-
Nonlinear programming, theory and algorithms
-
Wiley Interscience
-
Bazaraa, M.S., Sherali, H.D., Shetty, C.M.: Nonlinear Programming, Theory and Algorithms. Wiley Interscience, Series in Discrete Math. Optim. 2nd edition, 1993
-
(1993)
Series in Discrete Math. Optim. 2nd Edition
-
-
Bazaraa, M.S.1
Sherali, H.D.2
Shetty, C.M.3
-
5
-
-
0008633562
-
Computational study of a family of mixed-integer quadratic programming problems
-
Bienstock, D.: Computational study of a family of mixed-integer quadratic programming problems. Math. Program. 74, 121-140 (1996)
-
(1996)
Math. Program.
, vol.74
, pp. 121-140
-
-
Bienstock, D.1
-
6
-
-
0028413557
-
An improved branch and bound for mixed integer nonlinear programs
-
Borchers, B., Mitchell, J.E.: An improved branch and bound for mixed integer nonlinear programs. Comput. Oper. Res. 21, 359-367 (1994)
-
(1994)
Comput. Oper. Res.
, vol.21
, pp. 359-367
-
-
Borchers, B.1
Mitchell, J.E.2
-
7
-
-
0031207490
-
A computational comparison of branch and bound and outer approximation algorithms for 0-1 mixed integer nonlinear programs
-
Borchers, B., Mitchell, J.E.: A computational comparison of branch and bound and outer approximation algorithms for 0-1 mixed integer nonlinear programs. Comput. Oper. Res. 24, 699-701 (1997)
-
(1997)
Comput. Oper. Res.
, vol.24
, pp. 699-701
-
-
Borchers, B.1
Mitchell, J.E.2
-
8
-
-
3843076327
-
MINLPLib-A collection of test models for mixed-integer nonlinear programming
-
Bussieck, M.R., Drud, A.S., Meeraus, A.: MINLPLib-A Collection of Test Models for Mixed-Integer Nonlinear Programming. INFORMS J. Comput. 15, 114-119 (2003)
-
(2003)
INFORMS J. Comput.
, vol.15
, pp. 114-119
-
-
Bussieck, M.R.1
Drud, A.S.2
Meeraus, A.3
-
9
-
-
0000000310
-
A tree search algorithm for mixed integer programming problems
-
Dakin, R.J.: A tree search algorithm for mixed integer programming problems. Comput. J. 8, 250-255 (1965)
-
(1965)
Comput. J.
, vol.8
, pp. 250-255
-
-
Dakin, R.J.1
-
10
-
-
0022902024
-
An outer-approximation algorithm for a class of mixed-integer nonlinear programs
-
Duran, M.A., Grossmann, I.E.: An outer-approximation algorithm for a class of mixed-integer nonlinear programs. Math. Prog. 36, 307-339 (1986)
-
(1986)
Math. Prog.
, vol.36
, pp. 307-339
-
-
Duran, M.A.1
Grossmann, I.E.2
-
11
-
-
0001423319
-
An algorithm for separable nonconvex programming problems
-
Falk, J.E., Soland, R.M.: An algorithm for separable nonconvex programming problems. Manag. Sci. 15, 550-569 (1969)
-
(1969)
Manag. Sci.
, vol.15
, pp. 550-569
-
-
Falk, J.E.1
Soland, R.M.2
-
13
-
-
0024749476
-
Approximation of convex curves with applications to the bicriteria minimum cost flow problem
-
Fruhwirth, B., Burkard, R.E., Rote, G.: Approximation of convex curves with applications to the bicriteria minimum cost flow problem. European J. Oper. Res. 42, 326-338 (1989)
-
(1989)
European J. Oper. Res.
, vol.42
, pp. 326-338
-
-
Fruhwirth, B.1
Burkard, R.E.2
Rote, G.3
-
14
-
-
0002722964
-
Aspects of approximation of convex bodies
-
Gruber, P. M. Gruber, Wills, J. M., (eds.), North-Holland
-
Gruber, P.M.: Aspects of approximation of convex bodies. In: Gruber, P. M. Gruber, Wills, J. M., (eds.), Handbook of Convex Geometry. North-Holland, 1993
-
(1993)
Handbook of Convex Geometry
-
-
Gruber, P.M.1
-
15
-
-
51249180525
-
Approximation of convex bodies by polytopes
-
Gruber, P.M., Kenderov, P.: Approximation of convex bodies by polytopes. Rendiconti Circ. Mat. Palermo, Serie II. 31, 195-225 (1982)
-
(1982)
Rendiconti Circ. Mat. Palermo, Serie II.
, vol.31
, pp. 195-225
-
-
Gruber, P.M.1
Kenderov, P.2
-
16
-
-
0022208326
-
Branch and bound experiments in convex nonlinear integer programming
-
Gupta, O.K., Ravindran, A.: Branch and bound experiments in convex nonlinear integer programming. Manag. Sci. 31, 1533-1546 (1985)
-
(1985)
Manag. Sci.
, vol.31
, pp. 1533-1546
-
-
Gupta, O.K.1
Ravindran, A.2
-
17
-
-
0007819130
-
Calculation of bounds on variables satisfying nonlinear inequality constraints
-
Hamed, A.S.E., McCormick, G.P.: Calculation of bounds on variables satisfying nonlinear inequality constraints. J. Global Opt. 3, 25-47 (1993)
-
(1993)
J. Global Opt.
, vol.3
, pp. 25-47
-
-
Hamed, A.S.E.1
McCormick, G.P.2
-
18
-
-
1842802814
-
An analytic approach to global optimization
-
Hansen, P., Jaumard, B., Lu, S.-H.: An analytic approach to global optimization. Math. Prog. 52, 227-254 (1991)
-
(1991)
Math. Prog.
, vol.52
, pp. 227-254
-
-
Hansen, P.1
Jaumard, B.2
Lu, S.-H.3
-
19
-
-
0004070444
-
-
Springer Verlag, Berlin, Third edition
-
Horst, R., Tuy, H.: Global Optimization: Deterministic Approaches. Springer Verlag, Berlin, Third edition, 1996
-
(1996)
Global Optimization: Deterministic Approaches
-
-
Horst, R.1
Tuy, H.2
-
20
-
-
0000275505
-
An improved branch and bound algorithm for minimum concave cost network flow problems
-
Lamar, B.W.: An improved branch and bound algorithm for minimum concave cost network flow problems. J. Global Opt. 3, 261-287 (1993)
-
(1993)
J. Global Opt.
, vol.3
, pp. 261-287
-
-
Lamar, B.W.1
-
21
-
-
0001173632
-
An automatic method for solving discrete programming problems
-
Land, A.H., Doig, A.G.: An automatic method for solving discrete programming problems. Econometrica 28, 497-520 (1960)
-
(1960)
Econometrica
, vol.28
, pp. 497-520
-
-
Land, A.H.1
Doig, A.G.2
-
22
-
-
34250228465
-
Mixed-integer quadratic programming
-
Lazimy, R.: Mixed-integer quadratic programming. Math. Prog. 22, 332-349 (1982)
-
(1982)
Math. Prog.
, vol.22
, pp. 332-349
-
-
Lazimy, R.1
-
23
-
-
0022062331
-
Improved algorithm for mixed-integer quadratic programs and a computational study
-
Lazimy, R.: Improved algorithm for mixed-integer quadratic programs and a computational study. Math. Prog. 32, 100-113 (1985)
-
(1985)
Math. Prog.
, vol.32
, pp. 100-113
-
-
Lazimy, R.1
-
24
-
-
0018986924
-
An implicit enumeration algorithm for quadratic integer programming
-
McBride, R.D., Yormark, J.S.: An implicit enumeration algorithm for quadratic integer programming. Manag. Sci. 26, 282-296 (1980)
-
(1980)
Manag. Sci.
, vol.26
, pp. 282-296
-
-
McBride, R.D.1
Yormark, J.S.2
-
25
-
-
34250381644
-
Computability of global solutions to factorable nonconvex programs: Part I - Convex underestimating problems
-
McCormick, G.P.: Computability of global solutions to factorable nonconvex programs: Part I - Convex underestimating problems. Math. Prog. 10, 147-175 (1976)
-
(1976)
Math. Prog.
, vol.10
, pp. 147-175
-
-
McCormick, G.P.1
-
28
-
-
0024107502
-
A parallel algorithm for constrained concave quadratic global minimization
-
Phillips, A.T., Rosen, J.B.: A parallel algorithm for constrained concave quadratic global minimization. Math. Prog. 42, 421-448 (1988)
-
(1988)
Math. Prog.
, vol.42
, pp. 421-448
-
-
Phillips, A.T.1
Rosen, J.B.2
-
29
-
-
0001515078
-
The convergence rate of the sandwich algorithm for approximating convex functions
-
Rote, G.: The convergence rate of the sandwich algorithm for approximating convex functions. Comput. 48, 337-361 (1992)
-
(1992)
Comput.
, vol.48
, pp. 337-361
-
-
Rote, G.1
-
30
-
-
0001545210
-
Global optimization of nonconvex NLPs and MINLPs with applications in process design
-
Ryoo, H.S., Sahinidis, N.V.: Global optimization of nonconvex NLPs and MINLPs with applications in process design. Computers & Chemical Engineering 19, 551-566 (1995)
-
(1995)
Computers & Chemical Engineering
, vol.19
, pp. 551-566
-
-
Ryoo, H.S.1
Sahinidis, N.V.2
-
31
-
-
0000635160
-
A branch-and-reduce approach to global optimization
-
Ryoo, H.S., Sahinidis, N.V.: A branch-and-reduce approach to global optimization. J. Global Opt. 8, 107-139 (1996)
-
(1996)
J. Global Opt.
, vol.8
, pp. 107-139
-
-
Ryoo, H.S.1
Sahinidis, N.V.2
-
32
-
-
0000318768
-
BARON: A general purpose global optimization software package
-
Sahinidis, N.V.: BARON: A general purpose global optimization software package. J. Global Opt. 8, 201-205 (1996)
-
(1996)
J. Global Opt.
, vol.8
, pp. 201-205
-
-
Sahinidis, N.V.1
-
33
-
-
0016550056
-
Solving a (0, 1) hyperbolic program by branch and bound
-
Saipe, A.L.: Solving a (0, 1) hyperbolic program by branch and bound. Naval Res. Logistics Quarterly 22,497-515(1975)
-
(1975)
Naval Res. Logistics Quarterly
, vol.22
, pp. 497-515
-
-
Saipe, A.L.1
-
34
-
-
0000278641
-
Preprocessing and probing for mixed integer programming problems
-
Savelsbergh, M.W.P.: Preprocessing and probing for mixed integer programming problems. ORSA J. Comput. 6, 445-454 (1994)
-
(1994)
ORSA J. Comput.
, vol.6
, pp. 445-454
-
-
Savelsbergh, M.W.P.1
-
35
-
-
0001995746
-
A finite algorithm for global minimization of separable concave programs
-
Shectman, J.P., Sahinidis, N.V.: A finite algorithm for global minimization of separable concave programs. J. Global Opt. 12, 1-36 (1998)
-
(1998)
J. Global Opt.
, vol.12
, pp. 1-36
-
-
Shectman, J.P.1
Sahinidis, N.V.2
-
36
-
-
0041711004
-
Global optimization of nonconvex factorable programming problems
-
Sherali, H.D., Wang, H.: Global optimization of nonconvex factorable programming problems. Math. Prog. 89, 459-478 (2001)
-
(2001)
Math. Prog.
, vol.89
, pp. 459-478
-
-
Sherali, H.D.1
Wang, H.2
-
37
-
-
0000326858
-
Global optimisation of general process models
-
Grossmann, I.E., (ed.), Kluwer Academic Publishers, Boston, MA
-
Smith, E.M.B., Pantelides, C.C.: Global optimisation of general process models. In: Grossmann, I.E., (ed.), Global Optimization in Engineering Design. Kluwer Academic Publishers, Boston, MA, 1996, pp.355-386
-
(1996)
Global Optimization in Engineering Design
, pp. 355-386
-
-
Smith, E.M.B.1
Pantelides, C.C.2
-
38
-
-
21044445413
-
-
PhD thesis, Department of Mechanical & Industrial Engineering. University of Illinois, Urbana-Champaign, IL, August
-
Tawarmalani, M.: Mixed Integer Nonlinear Programs: Theory, Algorithms and Applications. PhD thesis, Department of Mechanical & Industrial Engineering. University of Illinois, Urbana-Champaign, IL, August 2001
-
(2001)
Mixed Integer Nonlinear Programs: Theory, Algorithms and Applications
-
-
Tawarmalani, M.1
-
39
-
-
84867978206
-
Global optimization of 0-1 hyperbolic programs
-
Tawarmalani, M., Ahmed, S., Sahinidis, N.V.: Global optimization of 0-1 hyperbolic programs. J. Global Opt. 24, 385-417 (2002)
-
(2002)
J. Global Opt.
, vol.24
, pp. 385-417
-
-
Tawarmalani, M.1
Ahmed, S.2
Sahinidis, N.V.3
-
40
-
-
33751003528
-
Convex extensions and convex envelopes of l.s.c. functions
-
Tawarmalani, M., Sahinidis, N.V.: Convex extensions and convex envelopes of l.s.c. functions. Math. Prog. 93, 247-263 (2002)
-
(2002)
Math. Prog.
, vol.93
, pp. 247-263
-
-
Tawarmalani, M.1
Sahinidis, N.V.2
-
41
-
-
0344204671
-
Domain contraction in nonlinear programming: Minimizing a quadratic concave function over a polyhedron
-
Thakur, L.S.: Domain contraction in nonlinear programming: Minimizing a quadratic concave function over a polyhedron. Math. Oper. Res. 16, 390-407 (1990)
-
(1990)
Math. Oper. Res.
, vol.16
, pp. 390-407
-
-
Thakur, L.S.1
-
42
-
-
2942654888
-
Computational results for an efficient implementation of the GOP algorithm and its variants
-
Grossmann, I.E., (ed.), Kluwer Academic Publishers, Boston, MA
-
Visweswaran, V., Floudas, C.A.: Computational results for an efficient implementation of the GOP algorithm and its variants. In: Grossmann, I.E., (ed.), Global Optimization in Engineering Design. Kluwer Academic Publishers, Boston, MA, 1996, pp. 111-153
-
(1996)
Global Optimization in Engineering Design
, pp. 111-153
-
-
Visweswaran, V.1
Floudas, C.A.2
-
43
-
-
0001197630
-
A branch and contract algorithm for problems with concave univariate, bilinear and linear fractional terms
-
Zamora, J.M., Grossmann, I.E.: A branch and contract algorithm for problems with concave univariate, bilinear and linear fractional terms. J. Global Opt. 14, 217-249 (1999)
-
(1999)
J. Global Opt.
, vol.14
, pp. 217-249
-
-
Zamora, J.M.1
Grossmann, I.E.2
|