-
1
-
-
0020787066
-
An efficient point algorithm for a linear two-stage optimization problem
-
Bard, J.F.: An efficient point algorithm for a linear two-stage optimization problem. Oper. Res. 31, 670-684 (1983)
-
(1983)
Oper. Res
, vol.31
, pp. 670-684
-
-
Bard, J.F.1
-
2
-
-
0023843286
-
Convex two-level optimization
-
Bard, J.F.: Convex two-level optimization. Math. Program. 40, 15-27 (1988)
-
(1988)
Math. Program
, vol.40
, pp. 15-27
-
-
Bard, J.F.1
-
4
-
-
0019937742
-
An explicit solution to the multi-level programming problem
-
Bard, J.F., Falk, J.: An explicit solution to the multi-level programming problem. Comp. Oper. Res. 9, 77-100 (1982)
-
(1982)
Comp. Oper. Res
, vol.9
, pp. 77-100
-
-
Bard, J.F.1
Falk, J.2
-
5
-
-
0001900982
-
Biological and synthetic hierarchical composites
-
Baer, E., Hiltner, A., Morgan, R.: Biological and synthetic hierarchical composites. Phys. Today 46, 60-67 (1992)
-
(1992)
Phys. Today
, vol.46
, pp. 60-67
-
-
Baer, E.1
Hiltner, A.2
Morgan, R.3
-
6
-
-
0027606149
-
Bilevel linear programming
-
Ben-Ayed, O.: Bilevel linear programming. Comput. Oper. Res. 20, 485-501 (1993)
-
(1993)
Comput. Oper. Res
, vol.20
, pp. 485-501
-
-
Ben-Ayed, O.1
-
8
-
-
0009403492
-
Mathematical programs with optimization problems in the constraints
-
Brackel, J., McGill, J.: Mathematical programs with optimization problems in the constraints. Oper. Res. 21, 37-44 (1973)
-
(1973)
Oper. Res
, vol.21
, pp. 37-44
-
-
Brackel, J.1
McGill, J.2
-
9
-
-
0043138174
-
A method for solving mathematical programs with nonlinear programs in the constraints
-
Brackel, J., McGill, J.: A method for solving mathematical programs with nonlinear programs in the constraints. Oper. Res. 22, 1097-1101 (1974)
-
(1974)
Oper. Res
, vol.22
, pp. 1097-1101
-
-
Brackel, J.1
McGill, J.2
-
10
-
-
0019912208
-
-
Candler, W., Townsley, R.: A linear two-level programming problem. Comput. Ops Res. 9, 59-76 (1982)
-
Candler, W., Townsley, R.: A linear two-level programming problem. Comput. Ops Res. 9, 59-76 (1982)
-
-
-
-
11
-
-
0041635334
-
Congested O-D trip emand adjustment problem: Bilevel programming formulation and optimality conditions
-
Migdalas, A, Pardalos, P, Värbrand, P, eds, Kluwer, Dordrecht
-
Chen, Y., Florian, M.: Congested O-D trip emand adjustment problem: bilevel programming formulation and optimality conditions. In: Migdalas, A., Pardalos, P., Värbrand, P. (eds.) Multilevel Optimization: Algorithms and Applications, pp. 1-22 Kluwer, Dordrecht (1988)
-
(1988)
Multilevel Optimization: Algorithms and Applications
, pp. 1-22
-
-
Chen, Y.1
Florian, M.2
-
12
-
-
84989695113
-
A note on the optimality conditions for the bilevel programming problem
-
Clark, P.A., Westerberg, A.W.: A note on the optimality conditions for the bilevel programming problem. Naval Res. Logistics 35, 413-418 (1988)
-
(1988)
Naval Res. Logistics
, vol.35
, pp. 413-418
-
-
Clark, P.A.1
Westerberg, A.W.2
-
13
-
-
0007153962
-
An implicit function approach to bilevel programming problems
-
Migdalas, A, Pardalos, P, Värbrand, P, eds, Kluwer, Dordrecht
-
Dempe, S.: An implicit function approach to bilevel programming problems. In: Migdalas, A., Pardalos, P., Värbrand, P. (eds.) Multilevel Optimization: Algorithms and Applications, pp. 273-289 Kluwer, Dordrecht (1988)
-
(1988)
Multilevel Optimization: Algorithms and Applications
, pp. 273-289
-
-
Dempe, S.1
-
14
-
-
0025841206
-
Algorithms for nonlinear bilevel mathematical programming
-
Edmunds, T., Bard, J.: Algorithms for nonlinear bilevel mathematical programming. Trans. Syst. Man Cybernetics 21, 83-89 (1991)
-
(1991)
Trans. Syst. Man Cybernetics
, vol.21
, pp. 83-89
-
-
Edmunds, T.1
Bard, J.2
-
15
-
-
0002423523
-
On bilevel programming, Part I; general nonlinear cases
-
Falk, J.E., Liu, J.: On bilevel programming, Part I; general nonlinear cases. Math. Program. 70, 47-72 (1995)
-
(1995)
Math. Program
, vol.70
, pp. 47-72
-
-
Falk, J.E.1
Liu, J.2
-
17
-
-
34250883719
-
On the equivalence between a linear bilevel programming problem and linear optimization over the efficient set
-
Computer and Automation Institute, Budapest
-
Fülöp, J.: On the equivalence between a linear bilevel programming problem and linear optimization over the efficient set. Working paper WP 93-1, LORDS, Computer and Automation Institute, Budapest
-
Working paper WP 93-1, LORDS
-
-
Fülöp, J.1
-
18
-
-
34250903422
-
-
Hansen, P., Jaumard, B., savard, G.: New branch and bound rules for linear bilevel programming. SIAMI Sci. Sta. Comput. 13, 1194-1217 (1992)
-
Hansen, P., Jaumard, B., savard, G.: New branch and bound rules for linear bilevel programming. SIAMI Sci. Sta. Comput. 13, 1194-1217 (1992)
-
-
-
-
19
-
-
0003972565
-
-
Kluwer, Dordrecht
-
Konno, H., Thach, P.T., Thy, H.: Optimization on Low Rank Nonconvex structures. Kluwer, Dordrecht (1997)
-
(1997)
Optimization on Low Rank Nonconvex structures
-
-
Konno, H.1
Thach, P.T.2
Thy, H.3
-
20
-
-
0012055898
-
Existence of solutions to generalized bilevel programming problem
-
Migdalas, A, Pardalos, P, Värbrand, P, eds, Kluwer, Dordrecht
-
Lignola, M.B., Morgan, J.: Existence of solutions to generalized bilevel programming problem. In: Migdalas, A., Pardalos, P., Värbrand, P. (eds.) Multilevel Optimization: Algorithms and Applications, pp. 315-330 Kluwer, Dordrecht (1988)
-
(1988)
Multilevel Optimization: Algorithms and Applications
, pp. 315-330
-
-
Lignola, M.B.1
Morgan, J.2
-
21
-
-
0042637157
-
Quasiconvex lower level problem and applications to two level optimization
-
Springer, Dordrecht
-
Loridan, P., Morgan, J.: Quasiconvex lower level problem and applications to two level optimization. Lecture Notes in Economics and Mathematical Systems, vol. 345, pp. 325-341, Springer, Dordrecht (1990)
-
(1990)
Lecture Notes in Economics and Mathematical Systems
, vol.345
, pp. 325-341
-
-
Loridan, P.1
Morgan, J.2
-
22
-
-
0010134854
-
Nonlinear bilevel problems with convex second level problem - heuristics and descent methods
-
Du, D.-Z, Zhang, X.-S, Cheng, K, eds, World Publishing Corporation, New York
-
Migdalas, A., Pardalos, P.M.: Nonlinear bilevel problems with convex second level problem - heuristics and descent methods. In: Du, D.-Z., Zhang, X.-S., Cheng, K., (eds.) Operations Research and Its Applications, pp. 194-204. World Publishing Corporation, New York (1995)
-
(1995)
Operations Research and Its Applications
, pp. 194-204
-
-
Migdalas, A.1
Pardalos, P.M.2
-
23
-
-
0037972915
-
Hierarchical and bilevel programming
-
Migdalas, A., Pardalos, P.M.: Hierarchical and bilevel programming. J. Glob. Optim. 8(3) (1996)
-
(1996)
J. Glob. Optim
, vol.8
, Issue.3
-
-
Migdalas, A.1
Pardalos, P.M.2
-
24
-
-
0003496903
-
-
Migdalas, A, Pardalos, P.M, Värbrand, P, eds, Kluwer, Dordrecht
-
Migdalas, A., Pardalos, P.M., Värbrand, P. (eds.): Multilevel Optimization: Algorithms and Applications. Kluwer, Dordrecht (1998)
-
(1998)
Multilevel Optimization: Algorithms and Applications
-
-
-
25
-
-
0347487478
-
Complexity issues in hierarchical optimization
-
American Mathematical Society, pp, Providence, RI
-
Pardalos, P.M., Deng, X.: Complexity issues in hierarchical optimization. In: DIMACs series, vol. 37, American Mathematical Society, pp. 219-224. Providence, RI (1997)
-
(1997)
DIMACs series
, vol.37
, pp. 219-224
-
-
Pardalos, P.M.1
Deng, X.2
-
26
-
-
0004003852
-
-
Kluwer, Dordrecht
-
Shimizu, K., Ishizuka, Y., Bard, J.F.: Nondifferentiable and Two-Level Mathematical Programming. Kluwer, Dordrecht (1997)
-
(1997)
Nondifferentiable and Two-Level Mathematical Programming
-
-
Shimizu, K.1
Ishizuka, Y.2
Bard, J.F.3
-
27
-
-
0043138061
-
Bilevel linear programming, multiobjective programming, and monotonic reverse convex programming
-
Migdalas, A, Pardalos, P.M, Värbrand, P, eds, Kluwer, Dordrecht
-
Tay, H.: Bilevel linear programming, multiobjective programming, and monotonic reverse convex programming. In: Migdalas, A., Pardalos, P.M., Värbrand, P. (eds.) Multilevel Optimization: Algorithms and Applications, pp. 295-314 Kluwer, Dordrecht (1998)
-
(1998)
Multilevel Optimization: Algorithms and Applications
, pp. 295-314
-
-
Tay, H.1
-
29
-
-
0001915878
-
-
Tay, H., Migdalas, A., Värbrand, P.: A global optimization approach for the linear two-level program. I Glob. Optim. 3, 1-23 (1992)
-
Tay, H., Migdalas, A., Värbrand, P.: A global optimization approach for the linear two-level program. I Glob. Optim. 3, 1-23 (1992)
-
-
-
-
30
-
-
0041635229
-
A quasiconcave minimization method for solving linear two-level programs
-
Tuy, H., Migdalas, A., Värbrand, P.: A quasiconcave minimization method for solving linear two-level programs. J. Glob. Optim. 4, 243-263 (1994)
-
(1994)
J. Glob. Optim
, vol.4
, pp. 243-263
-
-
Tuy, H.1
Migdalas, A.2
Värbrand, P.3
-
31
-
-
0041635260
-
A new branch and bound method for bilevel linear programs
-
Migdalas, A, Pardalos, P.M, Värbrand, P, eds, Kluwer, Dordrecht
-
Tay, H., Ghannadan, s.: A new branch and bound method for bilevel linear programs. In: Migdalas, A., Pardalos, P.M., Värbrand, P. (eds.) Multilevel Optimization: Algorithms and Applications, pp. 231-249 Kluwer, Dordrecht (1998)
-
(1998)
Multilevel Optimization: Algorithms and Applications
, pp. 231-249
-
-
Tay, H.1
Ghannadan, S.2
-
32
-
-
0034353741
-
Monotonic optimization: Problems and solution approaches
-
Tuy, H.: Monotonic optimization: problems and solution approaches. SIAM J. Optim. 11, 464-494 (2000)
-
(2000)
SIAM J. Optim
, vol.11
, pp. 464-494
-
-
Tuy, H.1
-
33
-
-
0012043665
-
Convexity and monotonicity in global optimization
-
Hadjisavvas, N, Pardalos, P.M, eds, Kluwer, Dordrecht
-
Tay, H.: Convexity and monotonicity in global optimization. In: Hadjisavvas, N., Pardalos, P.M. (eds.) Advances in Convex Analysis and Optimization, pp. 569-594 Kluwer, Dordrecht (2001)
-
(2001)
Advances in Convex Analysis and Optimization
, pp. 569-594
-
-
Tay, H.1
-
34
-
-
34250833175
-
Hierarchical optimization
-
Pardalos, P, Resende, M, eds, Oxford University Press, Oxford
-
Tay, H.: Hierarchical optimization. In: Pardalos, P., Resende, M. (eds.) Handbook of Applied Optimization, pp. 502-513 Oxford University Press, Oxford (2002)
-
(2002)
Handbook of Applied Optimization
, pp. 502-513
-
-
Tay, H.1
-
35
-
-
34250854444
-
Monotonicity in the framework of generalized convexity
-
Eberhard, A, Hadjisavvas, N, Luc, D.T, eds, Springer, Berlin
-
Tay, H.: Monotonicity in the framework of generalized convexity. In: Eberhard, A., Hadjisavvas, N., Luc, D.T. (eds.) Generalized Convexity, Generalized Monotonicity and Applications, pp. 61-85 Springer, Berlin (2005)
-
(2005)
Generalized Convexity, Generalized Monotonicity and Applications
, pp. 61-85
-
-
Tay, H.1
-
36
-
-
84889991947
-
Monotonic Optimization: Branch and Cuts Methods
-
Audet, C, Hansen, P, Savard, G, eds, Springer, Berlin
-
Tay, H., Al-Khayyal, F., Thach, P.T.: Monotonic Optimization: Branch and Cuts Methods. In: Audet, C., Hansen, P., Savard, G. (eds.) Essays and Surveys on Global Optimization, pp. 39-78 Springer, Berlin (2005)
-
(2005)
Essays and Surveys on Global Optimization
, pp. 39-78
-
-
Tay, H.1
Al-Khayyal, F.2
Thach, P.T.3
-
37
-
-
84859270182
-
Optimization under composite monotonic constraints and constrained optimization over the efficient set
-
Liberti, L, Maculan, N, eds, Springer, Berlin
-
Tay, H., Hoai-Phuong, N.T.: Optimization under composite monotonic constraints and constrained optimization over the efficient set. In: Liberti, L., Maculan, N. (eds.) Global Optimization: from Theory to Implementation, pp. 3-31 Springer, Berlin (2006)
-
(2006)
Global Optimization: From Theory to Implementation
, pp. 3-31
-
-
Tay, H.1
Hoai-Phuong, N.T.2
-
38
-
-
0000527046
-
Bilevel and multilevel programming: A bibliographic review
-
Vicente, L.N., Calamai, P.Y.: Bilevel and multilevel programming: a bibliographic review. J. Glob. Optim. 5, 291-306 (1994)
-
(1994)
J. Glob. Optim
, vol.5
, pp. 291-306
-
-
Vicente, L.N.1
Calamai, P.Y.2
-
39
-
-
0028425698
-
Descent approaches for quadratic bilevel programming
-
Vicentee, L., Savard, G., Judice, J.: Descent approaches for quadratic bilevel programming. J. Optim. Theory Appl. 81, 379 (1994)
-
(1994)
J. Optim. Theory Appl
, vol.81
, pp. 379
-
-
Vicentee, L.1
Savard, G.2
Judice, J.3
-
41
-
-
0000138482
-
A penalty function approach for solving bilevel linear programs
-
White, D.J., Anandalingam, G.: A penalty function approach for solving bilevel linear programs. J. Glob. Optim. 3, 397-419 (1993)
-
(1993)
J. Glob. Optim
, vol.3
, pp. 397-419
-
-
White, D.J.1
Anandalingam, G.2
-
42
-
-
0039272224
-
First-order necessary optimality conditions for general bilevel programming problems
-
Yezza, A.: First-order necessary optimality conditions for general bilevel programming problems. J Optim Theory Appl 89, 189-219 (1996)
-
(1996)
J Optim Theory Appl
, vol.89
, pp. 189-219
-
-
Yezza, A.1
|