-
1
-
-
0000042501
-
A note on the sum of a linear and linear-fractional function
-
SCHAIBLE, S., A Note on the Sum of a Linear and Linear-Fractional Function, Naval Research Logistics Quarterly, Vol. 24, pp. 691-693, 1977.
-
(1977)
Naval Research Logistics Quarterly
, vol.24
, pp. 691-693
-
-
Schaible, S.1
-
2
-
-
0006761690
-
Parametric analysis of a multistage stochastic shipping problem
-
Edited by J. Lawrence, Tavistock Publications, London, England
-
ALMOGY, Y., and LEVIN, O., Parametric Analysis of a Multistage Stochastic Shipping Problem, Operational Research 69, Edited by J. Lawrence, Tavistock Publications, London, England, 1970.
-
(1970)
Operational Research 69
-
-
Almogy, Y.1
Levin, O.2
-
3
-
-
0002168842
-
Optimizing the sum of linear fractional functions
-
Edited by C. A. Floudas, and P. M. Pardalos, Princeton University Press, Princeton, New Jersey
-
FALK, J. E., and PALOCSAY, S. W., Optimizing the Sum of Linear Fractional Functions, Recent Advances in Global Optimization, Edited by C. A. Floudas, and P. M. Pardalos, Princeton University Press, Princeton, New Jersey, 1992.
-
(1992)
Recent Advances in Global Optimization
-
-
Falk, J.E.1
Palocsay, S.W.2
-
4
-
-
0006840716
-
Programming, profit rates, and pricing decisions
-
COLANTONI, C. S., MANES, R. P., and WHINSTON, A., Programming, Profit Rates, and Pricing Decisions, Accounting Review, Vol. 44, pp. 467-481, 1969.
-
(1969)
Accounting Review
, vol.44
, pp. 467-481
-
-
Colantoni, C.S.1
Manes, R.P.2
Whinston, A.3
-
5
-
-
0001770593
-
Bond portfolio optimization by bilinear fractional programming
-
KONNO, H., and INORI, M., Bond Portfolio Optimization by Bilinear Fractional Programming, Journal of the Operations Research Society of Japan, Vol. 32, pp. 143-158, 1989.
-
(1989)
Journal of the Operations Research Society of Japan
, vol.32
, pp. 143-158
-
-
Konno, H.1
Inori, M.2
-
6
-
-
0001404993
-
Bond portfolio optimization problems and their applications to index tracking: A partial optimization approach
-
KONNO, H., and WATANABE, H., Bond Portfolio Optimization Problems and Their Applications to Index Tracking: A Partial Optimization Approach, Journal of the Operations Research Society of Japan, Vol. 39, pp. 295-306, 1996.
-
(1996)
Journal of the Operations Research Society of Japan
, vol.39
, pp. 295-306
-
-
Konno, H.1
Watanabe, H.2
-
7
-
-
0002768613
-
On maximizing a sum of ratios
-
CAMBINI, A., MARTEIN, L., and SCHAIBLE, S., On Maximizing a Sum of Ratios, Journal of Information and Optimization Sciences, Vol. 10, pp. 65-79, 1989.
-
(1989)
Journal of Information and Optimization Sciences
, vol.10
, pp. 65-79
-
-
Cambini, A.1
Martein, L.2
Schaible, S.3
-
8
-
-
0002398911
-
Parametric simplex algorithms for solving a special class of nonconvex minimization problems
-
KONNO, H., YAJIMA, Y., and MATSUI, T., Parametric Simplex Algorithms for Solving a Special Class of Nonconvex Minimization Problems, Journal of Global Optimization, Vol. 1, pp. 65-81, 1991.
-
(1991)
Journal of Global Optimization
, vol.1
, pp. 65-81
-
-
Konno, H.1
Yajima, Y.2
Matsui, T.3
-
9
-
-
0003136739
-
Image space analysis of generalized fractional programs
-
FALK, J. E., and PALOCSAY, S. W., Image Space Analysis of Generalized Fractional Programs, Journal of Global Optimization, Vol. 4, pp. 63-88, 1994.
-
(1994)
Journal of Global Optimization
, vol.4
, pp. 63-88
-
-
Falk, J.E.1
Palocsay, S.W.2
-
10
-
-
0006796190
-
Global minimization of a generalized convex multiplicative function
-
KONNO, H., KUNO, T., and YAJIMA, Y., Global Minimization of a Generalized Convex Multiplicative Function, Journal of Global Optimization, Vol. 4, pp. 47-62, 1994.
-
(1994)
Journal of Global Optimization
, vol.4
, pp. 47-62
-
-
Konno, H.1
Kuno, T.2
Yajima, Y.3
-
11
-
-
0002148307
-
Concave minimization: Theory, applications, and algorithms
-
Edited by R. Horst and P. M. Pardalos, Kluwer Academic Publishers, Dordrecht, Netherlands
-
BENSON, H. P., Concave Minimization: Theory, Applications, and Algorithms, Handbook of Global Optimization, Edited by R. Horst and P. M. Pardalos, Kluwer Academic Publishers, Dordrecht, Netherlands, 1995.
-
(1995)
Handbook of Global Optimization
-
-
Benson, H.P.1
-
12
-
-
0030242902
-
Deterministic algorithms for constrained concave minimization: A unified critical survey
-
BENSON, H. P., Deterministic Algorithms for Constrained Concave Minimization: A Unified Critical Survey, Naval Research Logistics, Vol. 43, pp. 765-795, 1996.
-
(1996)
Naval Research Logistics
, vol.43
, pp. 765-795
-
-
Benson, H.P.1
-
13
-
-
0001822918
-
A global optimization algorithm for linear fractional and bilinear programs
-
QUESADA, I., and GROSSMANN, I., A Global Optimization Algorithm for Linear Fractional and Bilinear Programs, Journal of Global Optimization, Vol. 6, pp. 39-76, 1995.
-
(1995)
Journal of Global Optimization
, vol.6
, pp. 39-76
-
-
Quesada, I.1
Grossmann, I.2
-
14
-
-
0006805980
-
Minimizing sums and products of linear fractional functions over a polytope
-
KONNO, H., and YAMASHITA, H., Minimizing Sums and Products of Linear Fractional Functions over a Polytope, Naval Research Logistics, Vol. 46, pp. 583-596, 1999.
-
(1999)
Naval Research Logistics
, vol.46
, pp. 583-596
-
-
Konno, H.1
Yamashita, H.2
-
15
-
-
0006761358
-
Minimization of the sum of three linear fractional functions
-
KONNO, H., and ABE, N., Minimization of the Sum of Three Linear Fractional Functions, Journal of Global Optimization, Vol. 15, pp. 419-432, 1999.
-
(1999)
Journal of Global Optimization
, vol.15
, pp. 419-432
-
-
Konno, H.1
Abe, N.2
-
16
-
-
0006805979
-
A branch-and-bound algorithm for solving low-rank linear multiplicative and fractional programming problems
-
KONNO, H., and FUKAISHI, K., A Branch-and-Bound Algorithm for Solving Low-Rank Linear Multiplicative and Fractional Programming Problems, Journal of Global Optimization, Vol. 18, pp. 283-299, 2000.
-
(2000)
Journal of Global Optimization
, vol.18
, pp. 283-299
-
-
Konno, H.1
Fukaishi, K.2
-
17
-
-
0001327501
-
αBB: A global optimization method for general constrained nonconvex problems
-
ANDROULAKIS, I. P., MARANAS, C. D., and FLOUDAS, C. A., αBB: A Global Optimization Method for General Constrained Nonconvex Problems, Journal of Global Optimization, Vol. 7, pp. 337-363, 1995.
-
(1995)
Journal of Global Optimization
, vol.7
, pp. 337-363
-
-
Androulakis, I.P.1
Maranas, C.D.2
Floudas, C.A.3
-
18
-
-
31244435953
-
A branch-and-bound algorithm for maximizing the sum of several linear ratios
-
KUNO, T., A Branch-and-Bound Algorithm for Maximizing the Sum of Several Linear Ratios, Journal of Global Optimization, Vol. 22, pp. 155-174, 2002.
-
(2002)
Journal of Global Optimization
, vol.22
, pp. 155-174
-
-
Kuno, T.1
-
19
-
-
0033875246
-
Optimizing the sum of linear fractional functions and applications
-
CHEN, D. Z., DAESCU, O., DAI, Y., KATOH, N., WU, X., and XU, J., Optimizing the Sum of Linear Fractional Functions and Applications, Proceedings of the 11th ACM/SIAM Symposium on Discrete Algorithms, 2000.
-
(2000)
Proceedings of the 11th ACM/SIAM Symposium on Discrete Algorithms
-
-
Chen, D.Z.1
Daescu, O.2
Dai, Y.3
Katoh, N.4
Wu, X.5
Xu, J.6
-
20
-
-
0010723206
-
Fractional programming with sums of ratios
-
Edited by E. Castagnoli, and G. Giorgi, Elioprint, Milano, Italy
-
SCHAIBLE, S., Fractional Programming with Sums of Ratios, Scalar and Vector Optimization in Economic and Financial Problems, Proceedings of the Workshop in Milan, Italy, 1995; Edited by E. Castagnoli, and G. Giorgi, Elioprint, Milano, Italy, 1996.
-
(1995)
Scalar and Vector Optimization in Economic and Financial Problems, Proceedings of the Workshop in Milan, Italy
-
-
Schaible, S.1
-
21
-
-
0000873824
-
Fractional programming
-
Edited by R. Horst and P. M. Pardalos, Kluwer Academic Publishers, Dordrecht, Netherlands
-
SCHAIBLE, S., Fractional Programming, Handbook of Global Optimization, Edited by R. Horst and P. M. Pardalos, Kluwer Academic Publishers, Dordrecht, Netherlands, 1995.
-
(1995)
Handbook of Global Optimization
-
-
Schaible, S.1
-
22
-
-
0344664089
-
Generating sum-of-ratios test problems in global optimization
-
BENSON, H. P., Generating Sum-of-Ratios Test Problems in Global Optimization, Journal of Optimization Theory and Applications, Vol. 119, pp. 615-621, 2003.
-
(2003)
Journal of Optimization Theory and Applications
, vol.119
, pp. 615-621
-
-
Benson, H.P.1
-
23
-
-
0000261286
-
Programming with linear fractional functionals
-
CHARNES, A., and COOPER, W. W., Programming with Linear Fractional Functionals, Naval Research Logistics Quarterly, Vol. 19, pp. 181-186, 1962.
-
(1962)
Naval Research Logistics Quarterly
, vol.19
, pp. 181-186
-
-
Charnes, A.1
Cooper, W.W.2
-
24
-
-
0030556719
-
Decomposition approach for the global minimization of biconcave functions over polytopes
-
HORST, R., and THOAI, N. V., Decomposition Approach for the Global Minimization of Biconcave Functions over Polytopes, Journal of Optimization Theory and Applications, Vol. 88, pp. 561-583, 1996.
-
(1996)
Journal of Optimization Theory and Applications
, vol.88
, pp. 561-583
-
-
Horst, R.1
Thoai, N.V.2
-
26
-
-
0004032847
-
-
Kluwer Academic Publishers, Dordrecht, Netherlands
-
HORST, R., and PARDALOS, P. M., Editors, Handbook of Global Optimization, Kluwer Academic Publishers, Dordrecht, Netherlands, 1995.
-
(1995)
Handbook of Global Optimization
-
-
Horst, R.1
Pardalos, P.M.2
-
27
-
-
0004267646
-
-
Princeton University Press, Princeton, New Jersey
-
ROCKAFELLAR, R. T., Convex Analysis, Princeton University Press, Princeton, New Jersey, 1970.
-
(1970)
Convex Analysis
-
-
Rockafellar, R.T.1
-
28
-
-
0004070444
-
-
Springer Verlag, Berlin, Germany
-
HORST, R., and TUY, H., Global Optimization: Deterministic Approaches, 2nd Edition, Springer Verlag, Berlin, Germany, 1993.
-
(1993)
Global Optimization: Deterministic Approaches, 2nd Edition
-
-
Horst, R.1
Tuy, H.2
-
29
-
-
34250387491
-
An algorithm for nonconvex programming problems
-
HORST, R., An Algorithm for Nonconvex Programming Problems, Mathematical Programming, Vol. 10, pp. 312-321, 1976.
-
(1976)
Mathematical Programming
, vol.10
, pp. 312-321
-
-
Horst, R.1
-
30
-
-
0027647081
-
Primal-relaxed dual global optimization approach
-
FLOUDAS, C. A., and VISWESWARAN, V., Primal-Relaxed Dual Global Optimization Approach, Journal of Optimization Theory and Applications, Vol. 78, pp. 187-225, 1993.
-
(1993)
Journal of Optimization Theory and Applications
, vol.78
, pp. 187-225
-
-
Floudas, C.A.1
Visweswaran, V.2
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