-
1
-
-
0034282316
-
Global optimization of mixed-integer nonlinear problems
-
Adjiman, C. S., I. P. Androulakis, C. A. Floudas. 2000. Global optimization of mixed-integer nonlinear problems. AIChE J. 46(9) 1769-1797.
-
(2000)
AIChE J.
, vol.46
, Issue.9
, pp. 1769-1797
-
-
Adjiman, C.S.1
Androulakis, I.P.2
Floudas, C.A.3
-
2
-
-
2942639818
-
A new class of improved convex underestimators for twice continuously differentiable constrained NLPs
-
DOI 10.1007/s10898-004-6455-4, PIPS5256455
-
Akrotirianakis, I. G., C. A. Floudas. 2004. A new class of improved convex underestimators for twice continuously differentiable constrained NLPs. J. Global Optim. 30(4) 367-390. (Pubitemid 40308453)
-
(2004)
Journal of Global Optimization
, vol.30
, Issue.4
, pp. 367-390
-
-
Akrotirianakis, I.G.1
Floudas, C.A.2
-
3
-
-
0014821686
-
Complementary geometric programming
-
Avriel, M., A. C. Williams. 1970. Complementary geometric programming. SIAM J. Appl. Math. 19(1) 125-141.
-
(1970)
SIAM J. Appl. Math.
, vol.19
, Issue.1
, pp. 125-141
-
-
Avriel, M.1
Williams, A.C.2
-
4
-
-
0014924953
-
Special facilities in a general mathematical programming system for nonconvex problems using ordered sets of variables
-
J. Lawrence, ed, London
-
Beale, E. L. M., J. A. Tomlin. 1970. Special facilities in a general mathematical programming system for nonconvex problems using ordered sets of variables. J. Lawrence, ed. Proc. Fifth Internat. Conf. OR. Tavistock Publications, London, 447-454.
-
(1970)
Proc. Fifth Internat. Conf. OR. Tavistock Publications
, pp. 447-454
-
-
Beale, E.L.M.1
Tomlin, J.A.2
-
5
-
-
79961033042
-
Applications of geometric programming to building design problem
-
L. C. W. Dixon, ed, Academic Press, London
-
Bradley, J., H. M. Clyne. 1976. Applications of geometric programming to building design problem. L. C. W. Dixon, ed. Optimization in Action. Academic Press, London, 478-516.
-
(1976)
Optimization in Action
, pp. 478-516
-
-
Bradley, J.1
Clyne, H.M.2
-
6
-
-
18244390168
-
Trigonometric convex underestimator for the base functions in fourier space
-
DOI 10.1007/s10957-004-0940-2
-
Caratzoulas, S., C. A. Floudas. 2005. Trigonometric convex underestimator for the base functions in Fourier space. J. Optim. Theory Appl. 124(2) 339-362. (Pubitemid 40900315)
-
(2005)
Journal of Optimization Theory and Applications
, vol.124
, Issue.2
, pp. 339-362
-
-
Caratzoulas, S.1
Floudas, C.A.2
-
7
-
-
0037121174
-
On the posynomial fractional programming problems
-
Chang, C.-T. 2002. On the posynomial fractional programming problems. Eur. J. Oper. Res. 143(1) 42-52.
-
(2002)
Eur. J. Oper. Res.
, vol.143
, Issue.1
, pp. 42-52
-
-
Chang, C.-T.1
-
8
-
-
0030270828
-
Effectiveness of a geometric programming algorithm for optimization of machining economics models
-
Choi, J. C., D. L. Bricker. 1996. Effectiveness of a geometric programming algorithm for optimization of machining economics models. Comput. Oper. Res. 23(10) 957-961.
-
(1996)
Comput. Oper. Res.
, vol.23
, Issue.10
, pp. 957-961
-
-
Choi, J.C.1
Bricker, D.L.2
-
9
-
-
0037515539
-
Simulation-based generation of posynomial performance models for the sizing of analog integrated circuits
-
Daems, W., G. Gielen, W. Sansen. 2003. Simulation-based generation of posynomial performance models for the sizing of analog integrated circuits. IEEE Trans. Comput.-Aided Design Integrated Circuits Systems 22(5) 517-534.
-
(2003)
IEEE Trans. Comput.-Aided Design Integrated Circuits Systems
, vol.22
, Issue.5
, pp. 517-534
-
-
Daems, W.1
Gielen, G.2
Sansen, W.3
-
10
-
-
0344540555
-
A set of geometric programming test problems and their solutions
-
Dembo, R. S. 1976. A set of geometric programming test problems and their solutions. Math. Programming 10(1) 192-213.
-
(1976)
Math. Programming
, vol.10
, Issue.1
, pp. 192-213
-
-
Dembo, R.S.1
-
11
-
-
0017995792
-
Optimal design of a membrane separation process using signomial programming
-
Dembo, R. S., M. Avriel. 1978. Optimal design of a membrane separation process using signomial programming. Math. Programming 15(1) 12-25. (Pubitemid 8632872)
-
(1978)
Math Program
, vol.15
, Issue.1
, pp. 12-25
-
-
Dembo Ron, S.1
Avriel Mordecai2
-
12
-
-
0040686423
-
Reversed geometric programming treated by harmonic means
-
Duffin, R. J., E. L. Peterson. 1972. Reversed geometric programming treated by harmonic means. Indian Univ. Math. J. 22 531-550.
-
(1972)
Indian Univ. Math. J.
, vol.22
, pp. 531-550
-
-
Duffin, R.J.1
Peterson, E.L.2
-
14
-
-
0002854108
-
Quadratic optimization
-
R. Horst, P. M. Pardalos, eds, 1st ed Kluwer Academic Publishers, Boston
-
Floudas, C. A., V. Visweswaran. 1994. Quadratic optimization. R. Horst, P. M. Pardalos, eds. Handbook of Global Optimization. Nonconvex Optimization and Its Applications, 1st ed. Kluwer Academic Publishers, Boston, 217-270.
-
(1994)
Handbook of Global Optimization. Nonconvex Optimization and Its Applications
, pp. 217-270
-
-
Floudas, C.A.1
Visweswaran, V.2
-
15
-
-
18244378791
-
Global optimization in the 21st century: Advances and challenges
-
DOI 10.1016/j.compchemeng.2005.02.006, PII S0098135405000104
-
Floudas, C. A., I. G. Akrotirianakis, S. Caratzoulas, C. A. Meyer, J. Kallrath. 2005. Global optimization in the 21st century: Advances and challenges. Comput. Chem. Engrg. 29(6) 1185-1202. (Pubitemid 40633581)
-
(2005)
Computers and Chemical Engineering
, vol.29
, Issue.SPEC. ISS. 6
, pp. 1185-1202
-
-
Floudas, C.A.1
Akrotirianakis, I.G.2
Caratzoulas, S.3
Meyer, C.A.4
Kallrath, J.5
-
16
-
-
0003817849
-
-
Kluwer Academic Publishers, Boston
-
Floudas, C. A., P. M. Pardalos, C. S. Adjiman, W. R. Esposito, Z. H. Gümüs, S. T. Harding, J. L. Klepeis, C. A. Meyer, C. A. Schweiger. 1999. Handbook of Test Problems in Local and Global Optimization. Kluwer Academic Publishers, Boston.
-
(1999)
Handbook of Test Problems in Local and Global Optimization
-
-
Floudas, C.A.1
Pardalos, P.M.2
Adjiman, C.S.3
Esposito, W.R.4
Gümüs, Z.H.5
Harding, S.T.6
Klepeis, J.L.7
Meyer, C.A.8
Schweiger, C.A.9
-
17
-
-
49249107681
-
Convexity of products of univariate functions and convexification transformations for geometric programming
-
Gounaris, C. E., C. A. Floudas. 2008. Convexity of products of univariate functions and convexification transformations for geometric programming. J. Optim. Theory Appl. 138(3) 407-427.
-
(2008)
J. Optim. Theory Appl.
, vol.138
, Issue.3
, pp. 407-427
-
-
Gounaris, C.E.1
Floudas, C.A.2
-
19
-
-
0035059137
-
Optimal design of a CMOS op-amp via geometric programming
-
DOI 10.1109/43.905671, PII S0278007001003487
-
Hershenson, M. D., S. P. Boyd, T. H. Lee. 2001. Optimal design of a CMOS op-amp via geometric programming. IEEE Trans. Comput.-Aided Design Integrated Circuits Systems 20(1) 1-21. (Pubitemid 32296860)
-
(2001)
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
, vol.20
, Issue.1
, pp. 1-21
-
-
Del Mar Hershenson, M.1
Boyd, S.P.2
Lee, T.H.3
-
20
-
-
0035427708
-
Optimal inventory policies under decreasing cost functions via geometric programming
-
DOI 10.1016/S0377-2217(00)00168-5, PII S0377221700001685
-
Jung, H., C. M. Klein. 2001. Optimal inventory policies under decreasing cost functions via geometric programming. Eur. J. Oper. Res. 132(3) 628-642. (Pubitemid 32487104)
-
(2001)
European Journal of Operational Research
, vol.132
, Issue.3
, pp. 628-642
-
-
Jung, H.1
Klein, C.M.2
-
21
-
-
0043048462
-
An infeasible interior-point algorithm for solving primal and dual geometric programs
-
PII S002556109600038X
-
Kortanek, K. O., X. Xu, Y. Ye. 1997. An infeasible interior-point algorithm for solving primal and dual geometric programs. Math. Programming 76(1) 155-181. (Pubitemid 127417009)
-
(1997)
Mathematical Programming, Series B
, vol.76
, Issue.1
, pp. 155-181
-
-
Kortanek, K.O.1
Xu, X.2
Ye, Y.3
-
22
-
-
84990622751
-
Determining order quantity and selling price by geometric programming: Optimal solution, bounds, and sensitivity
-
Lee, W. J. 1993. Determining order quantity and selling price by geometric programming: Optimal solution, bounds, and sensitivity. Decision Sci. 24(1) 76-87.
-
(1993)
Decision Sci.
, vol.24
, Issue.1
, pp. 76-87
-
-
Lee, W.J.1
-
23
-
-
43249100615
-
Convex underestimation for posynomial functions of positive variables
-
DOI 10.1007/s11590-007-0061-6
-
Li, H. L., J.-F. Tsai, C. A. Floudas. 2008. Convex underestimation for posynomial functions of positive variables. Optim. Lett. 2(3) 333-340. (Pubitemid 351653785)
-
(2008)
Optimization Letters
, vol.2
, Issue.3
, pp. 333-340
-
-
Li, H.-L.1
Tsai, J.-F.2
Floudas, C.A.3
-
24
-
-
67649946321
-
A superior representation method for piecewise linear functions
-
Li, H.-L., H.-C. Lu, C.-H. Huang, N.-Z. Hu. 2009. A superior representation method for piecewise linear functions. INFORMS J. Comput. 21(2) 314-321.
-
(2009)
INFORMS J. Comput.
, vol.21
, Issue.2
, pp. 314-321
-
-
Li, H.-L.1
Lu, H.-C.2
Huang, C.-H.3
Hu, N.-Z.4
-
25
-
-
79961070425
-
-
LINGO, Lindo System, Chicago
-
LINGO. 2004. Release 11.0. Lindo System, Chicago.
-
(2004)
Release 11.0
-
-
-
26
-
-
72449165495
-
Convex relaxation for solving posynomial programs
-
Lu, H.-C., H.-L. Li, C. E. Gounaris, C. A. Floudas. 2010. Convex relaxation for solving posynomial programs. J. Global Optim. 46(1) 147-154.
-
(2010)
J. Global Optim.
, vol.46
, Issue.1
, pp. 147-154
-
-
Lu, H.-C.1
Li, H.-L.2
Gounaris, C.E.3
Floudas, C.A.4
-
27
-
-
68949101640
-
Convex underestimation strategies for signomial functions
-
Lundell, A., T. Westerlund. 2009a. Convex underestimation strategies for signomial functions. Optim. Methods Software 24(4-5) 505-522.
-
(2009)
Optim. Methods Software
, vol.24
, Issue.4-5
, pp. 505-522
-
-
Lundell, A.1
Westerlund, T.2
-
28
-
-
76149124228
-
On the relationship between power and exponential transformations for positive signomial functions
-
Lundell, A., T. Westerlund. 2009b. On the relationship between power and exponential transformations for positive signomial functions. Chemical Engrg. Trans. 17 1287-1292.
-
(2009)
Chemical Engrg. Trans.
, vol.17
, pp. 1287-1292
-
-
Lundell, A.1
Westerlund, T.2
-
29
-
-
59449084808
-
Some transformation techniques with applications in global optimization
-
Lundell, A., J. Westerlund, T. Westerlund. 2009. Some transformation techniques with applications in global optimization. J. Global Optim. 43(2-3) 391-405.
-
(2009)
J. Global Optim.
, vol.43
, Issue.2-3
, pp. 391-405
-
-
Lundell, A.1
Westerlund, J.2
Westerlund, T.3
-
30
-
-
34249758275
-
Finding all solutions of nonlinearly constrained systems of equations
-
Maranas, C. D., C. A. Floudas. 1995. Finding all solutions of nonlinearly constrained systems of equations. J. Global Optim. 7(2) 143-182.
-
(1995)
J. Global Optim.
, vol.7
, Issue.2
, pp. 143-182
-
-
Maranas, C.D.1
Floudas, C.A.2
-
31
-
-
0030871124
-
Global optimization in generalized geometric programming
-
Maranas, C. D., C. A. Floudas. 1997. Global optimization in generalized geometric programming. Comput. Chemical Engrg. 21(4) 351-370.
-
(1997)
Comput. Chemical Engrg.
, vol.21
, Issue.4
, pp. 351-370
-
-
Maranas, C.D.1
Floudas, C.A.2
-
32
-
-
4544226754
-
Trilinear monomials with positive or negative domains: Facets of the convex and concave envelopes
-
C. A. Floudas, P. M. Pardalos, eds, Kluwer Academic Publishers, Boston
-
Meyer, C. A., C. A. Floudas. 2003. Trilinear monomials with positive or negative domains: Facets of the convex and concave envelopes. C. A. Floudas, P. M. Pardalos, eds. Frontiers in Global Optimization. Kluwer Academic Publishers, Boston, 327-352.
-
(2003)
Frontiers in Global Optimization
, pp. 327-352
-
-
Meyer, C.A.1
Floudas, C.A.2
-
33
-
-
4544251356
-
Trilinear monomials with mixed sign domains: Facets of the convex and concave envelopes
-
Meyer, C. A., C. A. Floudas. 2004. Trilinear monomials with mixed sign domains: Facets of the convex and concave envelopes. J. Global Optim. 29(2) 125-155.
-
(2004)
J. Global Optim.
, vol.29
, Issue.2
, pp. 125-155
-
-
Meyer, C.A.1
Floudas, C.A.2
-
34
-
-
0009448044
-
Generalized weighted mean programming
-
Passy, U. 1971. Generalized weighted mean programming. SIAM J. Appl. Math. 20(4) 763-778.
-
(1971)
SIAM J. Appl. Math.
, vol.20
, Issue.4
, pp. 763-778
-
-
Passy, U.1
-
35
-
-
0009457914
-
Generalized polynomial optimization
-
Passy, U., D. J. Wilde. 1967. Generalized polynomial optimization. SIAM J. Appl. Math. 15(5) 1344-1356.
-
(1967)
SIAM J. Appl. Math.
, vol.15
, Issue.5
, pp. 1344-1356
-
-
Passy, U.1
Wilde, D.J.2
-
36
-
-
38749087605
-
Global solution of optimization problems with signomial parts
-
DOI 10.1016/j.disopt.2007.11.005, PII S1572528607000783
-
Pörn, R., K.-M. Björk, T. Westerlund. 2008. Global solution of optimization problems with signomial parts. Discrete Optim. 5(1) 108-120. (Pubitemid 351180037)
-
(2008)
Discrete Optimization
, vol.5
, Issue.1
, pp. 108-120
-
-
Porn, R.1
Bjork, K.-M.2
Westerlund, T.3
-
37
-
-
0033611733
-
Convexification of different classes of non-convex MINLP problems
-
DOI 10.1016/S0098-1354(98)00305-6, PII S0098135498003056
-
Pörn, R., I. Harjunkoski, T. Westerlund. 1999. Convexification of different classes of non-convex MINLP problems. Comput. Chemical Engrg. 23(3) 439-448. (Pubitemid 29179700)
-
(1999)
Computers and Chemical Engineering
, vol.23
, Issue.3
, pp. 439-448
-
-
Porn, R.1
Harjunkoski, I.2
Westerlund, T.3
-
38
-
-
0031166408
-
Optimal selection of process parameters for turning operations in a CAPP system
-
Prasad, A. V. S. R. K., P. N. Rao, U. R. K. Rao. 1997. Optimal selection of process parameters for turning operations in a CAPP system. Internat. J. Production Res. 35(6) 1495-1522. (Pubitemid 127549679)
-
(1997)
International Journal of Production Research
, vol.35
, Issue.6
, pp. 1495-1522
-
-
Prasad, A.V.S.R.K.1
Rao, P.N.2
Rao, U.R.K.3
-
40
-
-
0035306565
-
Analysis of Bounds for Multilinear Functions
-
DOI 10.1023/A:1011295715398
-
Ryoo, H. S., N. V. Sahinidis. 2001. Analysis of bounds for multilinear functions. J. Global Optim. 19(4) 403-424. (Pubitemid 33672346)
-
(2001)
Journal of Global Optimization
, vol.19
, Issue.4
, pp. 403-424
-
-
Ryoo, H.S.1
Sahinidis, N.V.2
-
41
-
-
0029255633
-
Allocation of resources in project management
-
Scott, C. H., T. R. Jefferson. 1995. Allocation of resources in project management. Internat. J. Systems Sci. 26(2) 413-420.
-
(1995)
Internat. J. Systems Sci.
, vol.26
, Issue.2
, pp. 413-420
-
-
Scott, C.H.1
Jefferson, T.R.2
-
42
-
-
0942277593
-
Global optimization of signomial geometric programming using linear relaxation
-
Shen, P., K. Zhang. 2004. Global optimization of signomial geometric programming using linear relaxation. Appl. Math. Comput. 150(1) 99-114.
-
(2004)
Appl. Math. Comput.
, vol.150
, Issue.1
, pp. 99-114
-
-
Shen, P.1
Zhang, K.2
-
43
-
-
0005497324
-
Global Optimization of Nonconvex Polynomial Programming Problems Having Rational Exponents
-
Sherali, H. D. 1998. Global optimization of nonconvex polynomial programming problems having rational exponents. J. Global Optim. 12(3) 267-283. (Pubitemid 128508068)
-
(1998)
Journal of Global Optimization
, vol.12
, Issue.3
, pp. 267-283
-
-
Sherali, H.D.1
-
44
-
-
0001642333
-
A global optimization algorithm for polynomial programming problems using a reformulation-linearization technique
-
Sherali, H. D., C. H. Tuncbilek. 1992. A global optimization algorithm for polynomial programming problems using a reformulation-linearization technique. J. Global Optim. 2(1) 101-112.
-
(1992)
J. Global Optim.
, vol.2
, Issue.1
, pp. 101-112
-
-
Sherali, H.D.1
Tuncbilek, C.H.2
-
45
-
-
0003374522
-
A reformulation-convexification approach for solving nonconvex quadratic programming problems
-
Sherali, H. D., C. H. Tuncbilek. 1995. A reformulation-convexification approach for solving nonconvex quadratic programming problems. J. Global Optim. 7(1) 1-31.
-
(1995)
J. Global Optim.
, vol.7
, Issue.1
, pp. 1-31
-
-
Sherali, H.D.1
Tuncbilek, C.H.2
-
46
-
-
0036913354
-
Global optimization for signomial discrete programming problems in engineering design
-
Tsai, J.-F., H.-L. Li, N.-Z. Hu. 2002. Global optimization for signomial discrete programming problems in engineering design. Engrg. Optim. 34(6) 613-622.
-
(2002)
Engrg. Optim.
, vol.34
, Issue.6
, pp. 613-622
-
-
Tsai, J.-F.1
Li, H.-L.2
Hu, N.-Z.3
-
47
-
-
78651434589
-
Modeling disjunctive constraints with a logarithmic number of binary variables and constraints
-
Vielma, J. P., G. Nemhauser. 2011. Modeling disjunctive constraints with a logarithmic number of binary variables and constraints. Math. Programming 128(1-2) 49-72.
-
(2011)
Math. Programming
, vol.128
, Issue.1-2
, pp. 49-72
-
-
Vielma, J.P.1
Nemhauser, G.2
-
48
-
-
33745504621
-
Some transformation techniques in global optimization
-
L. Liberti, N. Maculan, eds, Springer, New York
-
Westerlund, T. 2007. Some transformation techniques in global optimization. L. Liberti, N. Maculan, eds. Global Optimization: From Theory to Implementation. Springer, New York, 45-74.
-
(2007)
Global Optimization: From Theory to Implementation
, pp. 45-74
-
-
Westerlund, T.1
-
49
-
-
59449091488
-
GGPECP-An algorithm for solving non-convex MINLP problems by cutting plane and transformation techniques
-
Westerlund, T., J. Westerlund. 2003. GGPECP-An algorithm for solving non-convex MINLP problems by cutting plane and transformation techniques. Chemical Engrg. Trans. 3 1045-1050.
-
(2003)
Chemical Engrg. Trans.
, vol.3
, pp. 1045-1050
-
-
Westerlund, T.1
Westerlund, J.2
-
50
-
-
0020183123
-
The analysis of an inventory control model using posynomial geometric programming
-
Worrall, B. M., M. A. Hall. 1982. The analysis of an inventory control model using posynomial geometric programming. Internat. J. Production Res. 20(5) 657-667.
-
(1982)
Internat. J. Production Res.
, vol.20
, Issue.5
, pp. 657-667
-
-
Worrall, B.M.1
Hall, M.A.2
-
51
-
-
0031269593
-
Investigation of path-following algorithms for signomial geometric programming problems
-
PII S0377221796002652
-
Yang, H.-H., D. L. Bricker. 1997. Investigation of path-following algorithms for signomial geometric programming problems. Eur. J. Oper. Res. 103(1) 230-241. (Pubitemid 127396742)
-
(1997)
European Journal of Operational Research
, vol.103
, Issue.1
, pp. 230-241
-
-
Yang, H.-H.1
Bricker, D.L.2
|