-
1
-
-
0002395681
-
Chance constrained programming
-
Charnes A., Cooper W.W. Chance constrained programming. Management Science 1959, 6(1):73-79.
-
(1959)
Management Science
, vol.6
, Issue.1
, pp. 73-79
-
-
Charnes, A.1
Cooper, W.W.2
-
2
-
-
59649125670
-
Some problems and models for lime-phased transport requirements. Chance constrained programs with normal deviates and linear decision rules
-
Charnes A., Cooper W.W. Some problems and models for lime-phased transport requirements. Chance constrained programs with normal deviates and linear decision rules. Naval Research Logistics 1960, 7(4):533-544.
-
(1960)
Naval Research Logistics
, vol.7
, Issue.4
, pp. 533-544
-
-
Charnes, A.1
Cooper, W.W.2
-
4
-
-
0002431201
-
Deterministic equivalents for optimizing and satisficing under chance constraints
-
Charnes A., Cooper W.W. Deterministic equivalents for optimizing and satisficing under chance constraints. Operations Research 1963, 11(1):18-39.
-
(1963)
Operations Research
, vol.11
, Issue.1
, pp. 18-39
-
-
Charnes, A.1
Cooper, W.W.2
-
5
-
-
84864748789
-
Linear stochastic fractional programming with sum-of-probabilistic-fractional objectives
-
Optimization Online, Available at
-
V. Charles, D. Dutta, Linear stochastic fractional programming with sum-of-probabilistic-fractional objectives, Optimization Online, 2005. Available at http://www.optimizationonline.com.
-
(2005)
-
-
Charles, V.1
Dutta, D.2
-
6
-
-
0000873824
-
Fractional programming
-
Kluwer Academic Publishers, Dordrecht, R. Horst, P.M. Pardalos (Eds.)
-
Schaible S. Fractional programming. Handbook of Global Optimization 1995, 495-608. Kluwer Academic Publishers, Dordrecht. R. Horst, P.M. Pardalos (Eds.).
-
(1995)
Handbook of Global Optimization
, pp. 495-608
-
-
Schaible, S.1
-
8
-
-
0002168842
-
The sum of linear fractional functions
-
Kluwer Academic Publishers., Dordrecht, S.W. Optimizing, C.A. Floudas, P.M. Pardalos (Eds.)
-
Falk J.E., Palocsay S.W. The sum of linear fractional functions. Recent Advances in Global Optimization 1992, 221-258. Kluwer Academic Publishers., Dordrecht. S.W. Optimizing, C.A. Floudas, P.M. Pardalos (Eds.).
-
(1992)
Recent Advances in Global Optimization
, pp. 221-258
-
-
Falk, J.E.1
Palocsay, S.W.2
-
9
-
-
0006796190
-
Global minimization of a generalized convex multiplicative functions
-
Konno H., Kuno T., Yajima Y. Global minimization of a generalized convex multiplicative functions. Journal of Global Optimization 1994, 4(1):47-62.
-
(1994)
Journal of Global Optimization
, vol.4
, Issue.1
, pp. 47-62
-
-
Konno, H.1
Kuno, T.2
Yajima, Y.3
-
10
-
-
17444411776
-
Efficient Algorithms for Minimizing the Sum and the Product of Linear Fractional Functions
-
Tokya Institute of Technology
-
H. Yamashita, Efficient Algorithms for Minimizing the Sum and the Product of Linear Fractional Functions, Master Thesis, Department of Industrial Engineering and Management, Tokya Institute of Technology, 1997.
-
(1997)
Master Thesis, Department of Industrial Engineering and Management
-
-
Yamashita, H.1
-
12
-
-
0038430386
-
A nonlinear programming algorithm for hospital management
-
Mathis F.H., Mathis L.J. A nonlinear programming algorithm for hospital management. SIAM Review 1995, 37(2):230-234.
-
(1995)
SIAM Review
, vol.37
, Issue.2
, pp. 230-234
-
-
Mathis, F.H.1
Mathis, L.J.2
-
13
-
-
0033875246
-
Optimizing the sum of linear fractional functions and applications
-
ACM, New York
-
Chen D.Z., Daescu O., Dai Y., Katoh N., Wu X., Xu J. Optimizing the sum of linear fractional functions and applications. Proceedings of the Eleventh Annual ACM-SIAM Symposium on Discrete Algorithms (SODA) 2000, 707-716. ACM, New York.
-
(2000)
Proceedings of the Eleventh Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)
, pp. 707-716
-
-
Chen, D.Z.1
Daescu, O.2
Dai, Y.3
Katoh, N.4
Wu, X.5
Xu, J.6
-
14
-
-
0000285938
-
Minimizing support structures and trapped areas in two-dimensional layered manufacturing
-
Majhi J., Janardan R., Schwerdt J., Smid M., Gupta P. Minimizing support structures and trapped areas in two-dimensional layered manufacturing. Computational Geometry 1999, 12(3-4):241-267.
-
(1999)
Computational Geometry
, vol.12
, Issue.3-4
, pp. 241-267
-
-
Majhi, J.1
Janardan, R.2
Schwerdt, J.3
Smid, M.4
Gupta, P.5
-
15
-
-
0001472827
-
On some geometric optimization problems in layered manufacturing
-
Majhi J., Janardan R., Smid M., Gupta P. On some geometric optimization problems in layered manufacturing. Computational Geometry 1999, 12(3-4):219-239.
-
(1999)
Computational Geometry
, vol.12
, Issue.3-4
, pp. 219-239
-
-
Majhi, J.1
Janardan, R.2
Smid, M.3
Gupta, P.4
-
16
-
-
0012776559
-
Protecting critical facets in layered manufacturing
-
Schwerdt J., Smid M., Janardan R., Johnson E., Majhi J. Protecting critical facets in layered manufacturing. Computational Geometry 2000, 16(3):187-210.
-
(2000)
Computational Geometry
, vol.16
, Issue.3
, pp. 187-210
-
-
Schwerdt, J.1
Smid, M.2
Janardan, R.3
Johnson, E.4
Majhi, J.5
-
17
-
-
70450196174
-
Stochastic sum-of-ratios fractional programming model in an agricultural decision support system
-
On Information Technology Interfaces, June 22-25, Cavtat, Croatia
-
D. Dukic, T. Pasalic, I. Sesar, Stochastic sum-of-ratios fractional programming model in an agricultural decision support system, Proceedings of the ITI 2009, 31st Int. Conf. on Information Technology Interfaces, June 22-25, 2009, Cavtat, Croatia, pp. 119-124.
-
(2009)
Proceedings of the ITI 2009, 31st Int. Conf.
, pp. 119-124
-
-
Dukic, D.1
Pasalic, T.2
Sesar, I.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 2002, 22(1-4):155-174.
-
(2002)
Journal of Global Optimization
, vol.22
, Issue.1-4
, pp. 155-174
-
-
Kuno, T.1
-
20
-
-
84938594373
-
Using concave envelopes to globally solve the nonlinear sum of ratios problem
-
Benson H.P. Using concave envelopes to globally solve the nonlinear sum of ratios problem. Journal of Global Optimization 2002, 22(1-4):343-364.
-
(2002)
Journal of Global Optimization
, vol.22
, Issue.1-4
, pp. 343-364
-
-
Benson, H.P.1
-
21
-
-
9744254460
-
Global optimization algorithm for the nonlinear sum of ratios problem
-
Benson H.P. Global optimization algorithm for the nonlinear sum of ratios problem. Journal of Optimization Theory and Applications 2002, 112(1):1-29.
-
(2002)
Journal of Optimization Theory and Applications
, vol.112
, Issue.1
, pp. 1-29
-
-
Benson, H.P.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 2003, 199(3):615-621.
-
(2003)
Journal of Optimization Theory and Applications
, vol.199
, Issue.3
, pp. 615-621
-
-
Benson, H.P.1
-
23
-
-
4043135727
-
On the global optimization of sums of linear fractional functions over a convex set
-
Benson H.P. On the global optimization of sums of linear fractional functions over a convex set. Journal of Optimization Theory and Applications 2004, 121(1):19-39.
-
(2004)
Journal of Optimization Theory and Applications
, vol.121
, Issue.1
, pp. 19-39
-
-
Benson, H.P.1
-
24
-
-
34848825308
-
Solving sum of ratios fractional programs via concave minimization
-
Benson H.P. Solving sum of ratios fractional programs via concave minimization. Journal of Optimization Theory and Applications 2007, 135(1):1-17.
-
(2007)
Journal of Optimization Theory and Applications
, vol.135
, Issue.1
, pp. 1-17
-
-
Benson, H.P.1
-
25
-
-
48549098437
-
Solving the sum-of-ratios problem by a stochastic search algorithm
-
Wu W.-Y., Sheu R.-L., Birbil S.I. Solving the sum-of-ratios problem by a stochastic search algorithm. Journal of Global optimization 2008, 42(1):91-109.
-
(2008)
Journal of Global optimization
, vol.42
, Issue.1
, pp. 91-109
-
-
Wu, W.-Y.1
Sheu, R.-L.2
Birbil, S.I.3
-
26
-
-
14744267475
-
On the convergence of a population-based global optimization algorithm
-
Birbil S.I., Fang S-C., Sheu R-L. On the convergence of a population-based global optimization algorithm. Journal of Global Optimization 2004, 30:301-318.
-
(2004)
Journal of Global Optimization
, vol.30
, pp. 301-318
-
-
Birbil, S.I.1
Fang, S.-C.2
Sheu, R.-L.3
-
27
-
-
33646537954
-
Linear stochastic fractional programming with branch-and-bound technique
-
Allied Publishers, Chennai, R. Nadarajan, P.R. Kandasamy (Eds.)
-
Charles V., Dutta D. Linear stochastic fractional programming with branch-and-bound technique. Proceedings of National Conference on Mathematical and Computational Models 2001, 131-139. Allied Publishers, Chennai. R. Nadarajan, P.R. Kandasamy (Eds.).
-
(2001)
Proceedings of National Conference on Mathematical and Computational Models
, pp. 131-139
-
-
Charles, V.1
Dutta, D.2
-
28
-
-
33646554045
-
Bi-weighted multi-objective stochastic fractional programming problem with mixed constraints
-
Allied Publishers, Chennai, R. Nadarajan, G. Arulmozhi (Eds.)
-
Charles V., Dutta D. Bi-weighted multi-objective stochastic fractional programming problem with mixed constraints. Proceedings of Second National Conference on Mathematical and Computational Models 2003, 29-36. Allied Publishers, Chennai. R. Nadarajan, G. Arulmozhi (Eds.).
-
(2003)
Proceedings of Second National Conference on Mathematical and Computational Models
, pp. 29-36
-
-
Charles, V.1
Dutta, D.2
-
30
-
-
36248992411
-
Convex approximations of chance constrained programs
-
Nemirovski A., Shapiro A. Convex approximations of chance constrained programs. SIAM Journal of Optimization 2006, 17(4):969-996.
-
(2006)
SIAM Journal of Optimization
, vol.17
, Issue.4
, pp. 969-996
-
-
Nemirovski, A.1
Shapiro, A.2
-
32
-
-
77950512601
-
Monte Carlo sampling methods
-
North-Holland Publishing Company, Amsterdam
-
Shapiro A. Monte Carlo sampling methods. Stochastic Programming. Handbooks in OR & MS 2003, vol. 10:353-425. North-Holland Publishing Company, Amsterdam.
-
(2003)
Stochastic Programming. Handbooks in OR & MS
, vol.10
, pp. 353-425
-
-
Shapiro, A.1
-
33
-
-
41549092642
-
Optimizing call center staffing using simulation and analytic center cutting plane methods
-
Atlason J., Epelman M.A., Henderson S.G. Optimizing call center staffing using simulation and analytic center cutting plane methods. Management Science 2008, 54(2):295-309.
-
(2008)
Management Science
, vol.54
, Issue.2
, pp. 295-309
-
-
Atlason, J.1
Epelman, M.A.2
Henderson, S.G.3
-
34
-
-
67649566847
-
A sample approximation approach for optimization with probabilistic constraints
-
Luedtke J., Ahmed S. A sample approximation approach for optimization with probabilistic constraints. SIAM Journal of Optimization 2008, 19:674-699.
-
(2008)
SIAM Journal of Optimization
, vol.19
, pp. 674-699
-
-
Luedtke, J.1
Ahmed, S.2
-
35
-
-
0018481030
-
Fractional programming: applications and algorithms
-
Schaible S. Fractional programming: applications and algorithms. European Journal of Operational Research 1981, 7(2):111-120.
-
(1981)
European Journal of Operational Research
, vol.7
, Issue.2
, pp. 111-120
-
-
Schaible, S.1
-
36
-
-
0014921812
-
Parametric analysis of a multi-stage stochastic shipping problem
-
Tavistock Publications, London, J. Lawrence (Ed.)
-
Almogy Y., Levin O. Parametric analysis of a multi-stage stochastic shipping problem. Operational Research' 69 1970, 359-370. Tavistock Publications, London. J. Lawrence (Ed.).
-
(1970)
Operational Research' 69
, pp. 359-370
-
-
Almogy, Y.1
Levin, O.2
-
37
-
-
84950648422
-
Cluster analysis and mathematical programming
-
Rao M.R. Cluster analysis and mathematical programming. Journal of the American Statistical Association 1971, 66(335):622-626.
-
(1971)
Journal of the American Statistical Association
, vol.66
, Issue.335
, pp. 622-626
-
-
Rao, M.R.1
-
38
-
-
0037753964
-
Conditions for the quasiconvexity of sums of linear-fractional functions
-
Bykadorov I.A. Conditions for the quasiconvexity of sums of linear-fractional functions. Optimizatsiya 1986, 158(39):25-41.
-
(1986)
Optimizatsiya
, vol.158
, Issue.39
, pp. 25-41
-
-
Bykadorov, I.A.1
-
39
-
-
33646578111
-
Extremization of multi-objective stochastic fractional programming problem: an application to assembled printed circuit board problem
-
Charles V., Dutta D. Extremization of multi-objective stochastic fractional programming problem: an application to assembled printed circuit board problem. Annals of Operations Research 2006, 143(1):297-304.
-
(2006)
Annals of Operations Research
, vol.143
, Issue.1
, pp. 297-304
-
-
Charles, V.1
Dutta, D.2
-
40
-
-
33746059770
-
Identification of redundant objective functions in multi-objective stochastic fractional programming problems
-
Charles V., Dutta D. Identification of redundant objective functions in multi-objective stochastic fractional programming problems. Asia-Pacific Journal of Operational Research 2006, 23(2):155-170.
-
(2006)
Asia-Pacific Journal of Operational Research
, vol.23
, Issue.2
, pp. 155-170
-
-
Charles, V.1
Dutta, D.2
-
44
-
-
0006866699
-
Solving the sum-of-ratios problem by an interior point method
-
Freund R.W., Jarre F. Solving the sum-of-ratios problem by an interior point method. Journal of Global Optimization 2001, 19(1):83-102.
-
(2001)
Journal of Global Optimization
, vol.19
, Issue.1
, pp. 83-102
-
-
Freund, R.W.1
Jarre, F.2
-
45
-
-
70349296860
-
An approach to find redundant objective function(s) and redundant constraint(s) in multi-objective nonlinear stochastic fractional programming problems
-
Charles V., Udhayakumar A., Rhymend Uthariaraj V. An approach to find redundant objective function(s) and redundant constraint(s) in multi-objective nonlinear stochastic fractional programming problems. European Journal of Operational Research 2010, 201(2):390-398.
-
(2010)
European Journal of Operational Research
, vol.201
, Issue.2
, pp. 390-398
-
-
Charles, V.1
Udhayakumar, A.2
Rhymend Uthariaraj, V.3
-
46
-
-
0002560431
-
A class of fractional programming problems
-
Almogy Y., Levin O. A class of fractional programming problems. Operations Research 1971, 19(1):57-67.
-
(1971)
Operations Research
, vol.19
, Issue.1
, pp. 57-67
-
-
Almogy, Y.1
Levin, O.2
-
47
-
-
0000181889
-
On non-linear fractional programming
-
Dinkelbach W. On non-linear fractional programming. Management Science 1967, 13(7):492-498.
-
(1967)
Management Science
, vol.13
, Issue.7
, pp. 492-498
-
-
Dinkelbach, W.1
|