-
2
-
-
0021520669
-
An Overview of Techniques for Solving Multiobjective Mathematical Programs
-
Evans, G.W. (1984), An Overview of Techniques for Solving Multiobjective Mathematical Programs, Management Science 30, 1268-1282.
-
(1984)
Management Science
, vol.30
, pp. 1268-1282
-
-
Evans, G.W.1
-
3
-
-
0003426103
-
-
John Wiley and Sons, New York
-
Goicoechea, A., Hansen, D.R. and Duckstein, L. (1982), Multiobjective Decision Analysis with Engineering and Business Applications, John Wiley and Sons, New York.
-
(1982)
Multiobjective Decision Analysis with Engineering and Business Applications
-
-
Goicoechea, A.1
Hansen, D.R.2
Duckstein, L.3
-
5
-
-
0004262557
-
-
Academic Press, Orlando, Florida
-
Sawaragi, Y, Nakayama, H. and Tanino, T. (1985), Theory of Multiobjective Optimization, Academic Press, Orlando, Florida.
-
(1985)
Theory of Multiobjective Optimization
-
-
Sawaragi, Y.1
Nakayama, H.2
Tanino, T.3
-
6
-
-
0003709653
-
-
John Wiley and Sons, New York
-
Steuer, R.E. (1986), Multiple Criteria Optimization: Theory, Computation, and Application, John Wiley and Sons, New York.
-
(1986)
Multiple Criteria Optimization: Theory, Computation, and Application
-
-
Steuer, R.E.1
-
9
-
-
0003028425
-
Nonlinear Programming
-
J. Neyman (ed.), University of California Press, Berkeley, California
-
Kuhn, H.W. and Tucker, A.W. (1950), Nonlinear Programming, in J. Neyman (ed.), Proceedings of the 2nd Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, Berkeley, California, pp. 481-492.
-
(1950)
Proceedings of the 2nd Berkeley Symposium on Mathematical Statistics and Probability
, pp. 481-492
-
-
Kuhn, H.W.1
Tucker, A.W.2
-
11
-
-
0001053761
-
Algorithms for the Vector Maximization Problem
-
Philip, J. (1972), Algorithms for the Vector Maximization Problem, Mathematical Programming 2, 207-229.
-
(1972)
Mathematical Programming
, vol.2
, pp. 207-229
-
-
Philip, J.1
-
12
-
-
0002995208
-
Generating Efficient Extreme Points in Linear Multiple Objective Programming: Two Algorithms and Computing Experience
-
J.L. Cochrane and M. Zeleny (eds.), University of South Carolina Press, Columbia, South Carolina
-
Evans, J.P. and Steuer, R.E. (1973), Generating Efficient Extreme Points in Linear Multiple Objective Programming: Two Algorithms and Computing Experience, in J.L. Cochrane and M. Zeleny (eds.), Multiple-Criteria Decision Making, University of South Carolina Press, Columbia, South Carolina, pp. 349-365.
-
(1973)
Multiple-Criteria Decision Making
, pp. 349-365
-
-
Evans, J.P.1
Steuer, R.E.2
-
13
-
-
0016470076
-
The Set of All Nondominated Solutions in Linear Cases and a Multicriteria Simplex Method
-
Yu, P.L. and Zeleny, M. (1975), The Set of All Nondominated Solutions in Linear Cases and a Multicriteria Simplex Method, Journal of Mathematical Analysis and Applications 49, 430-468.
-
(1975)
Journal of Mathematical Analysis and Applications
, vol.49
, pp. 430-468
-
-
Yu, P.L.1
Zeleny, M.2
-
15
-
-
0000688678
-
The Enumeration of the Set of All Efficient Solutions for a Linear Multiple Objective Program
-
Isermann, H. (1977), The Enumeration of the Set of All Efficient Solutions for a Linear Multiple Objective Program, Operational Research Quarterly 28, 711-725.
-
(1977)
Operational Research Quarterly
, vol.28
, pp. 711-725
-
-
Isermann, H.1
-
16
-
-
34250269537
-
Theory and Algorithms for Linear Multiple Objective Programs with Zero-One Variables
-
Bitran, G.R. (1979), Theory and Algorithms for Linear Multiple Objective Programs with Zero-One Variables, Mathematical Programming 17, 362-390.
-
(1979)
Mathematical Programming
, vol.17
, pp. 362-390
-
-
Bitran, G.R.1
-
17
-
-
34250236434
-
Multicriteria Integer Programming: A (Hybrid) Dynamic Programming Recursive Approach
-
Villarreal, B. and Karwan, M.H. (1981), Multicriteria Integer Programming: A (Hybrid) Dynamic Programming Recursive Approach, Mathematical Programming 21, 204-223.
-
(1981)
Mathematical Programming
, vol.21
, pp. 204-223
-
-
Villarreal, B.1
Karwan, M.H.2
-
19
-
-
0022522311
-
An Interactive Branch-and-Bound Algorithm for Multiple Criteria Optimization
-
Marcotte, O. and Soland, R.M. (1986), An Interactive Branch-and-Bound Algorithm for Multiple Criteria Optimization, Management Science 32, 61-75.
-
(1986)
Management Science
, vol.32
, pp. 61-75
-
-
Marcotte, O.1
Soland, R.M.2
-
20
-
-
0008398291
-
A Five-Phase Procedure for Implementing a Vector-Maximum Algorithm for Multiple Objective Linear Programming Problems
-
H. Thiriez and S. Zionts (eds.), Springer Verlag, Berlin/New York
-
Steuer, R.E. (1976), A Five-Phase Procedure for Implementing a Vector-Maximum Algorithm for Multiple Objective Linear Programming Problems, in H. Thiriez and S. Zionts (eds.), Multiple-Criteria Decision Making: Jouy-en-Josas, France, Springer Verlag, Berlin/New York.
-
(1976)
Multiple-Criteria Decision Making: Jouy-en-Josas, France
-
-
Steuer, R.E.1
-
21
-
-
0002967157
-
Generating the Efficient Outcome Set in Multiple Objective Linear Programs: The Bicriteria Case
-
Benson, H.P. (1997), Generating the Efficient Outcome Set in Multiple Objective Linear Programs: The Bicriteria Case, Acta Mathematica Vietnamica 22, 29-51.
-
(1997)
Acta Mathematica Vietnamica
, vol.22
, pp. 29-51
-
-
Benson, H.P.1
-
22
-
-
0030213057
-
An Algorithm Based on Facial Decomposition for Finding the Efficient Set in Multiple Objective Linear Programming
-
Sayin, S. (1996), An Algorithm Based on Facial Decomposition for Finding the Efficient Set in Multiple Objective Linear Programming, Operations Research Letters 19, 87-94.
-
(1996)
Operations Research Letters
, vol.19
, pp. 87-94
-
-
Sayin, S.1
-
23
-
-
0027662853
-
Finding All Maximal Efficient Faces in Multiobjective Linear Programming
-
Armand, P. (1993), Finding All Maximal Efficient Faces in Multiobjective Linear Programming, Mathematical Programming 61, 357-375.
-
(1993)
Mathematical Programming
, vol.61
, pp. 357-375
-
-
Armand, P.1
-
24
-
-
0026222927
-
Determination of the Efficient Decision Set in Multiobjective Linear Programming
-
Armand, P. and Malivert, C. (1991), Determination of the Efficient Decision Set in Multiobjective Linear Programming, Journal of Optimization Theory and Applications 70, 467-489.
-
(1991)
Journal of Optimization Theory and Applications
, vol.70
, pp. 467-489
-
-
Armand, P.1
Malivert, C.2
-
25
-
-
84974856886
-
Finding an Initial Efficient Extreme Point for a Linear Multiple Objective Program
-
Benson, H.P. (1981), Finding an Initial Efficient Extreme Point for a Linear Multiple Objective Program, The Journal of the Operational Research Society 32, 495-498.
-
(1981)
The Journal of the Operational Research Society
, vol.32
, pp. 495-498
-
-
Benson, H.P.1
-
26
-
-
0022044653
-
Multiple Objective Linear Programming with Parametric Criteria Coefficients
-
Benson, H.P. (1985), Multiple Objective Linear Programming with Parametric Criteria Coefficients, Management Science 31, 461-474.
-
(1985)
Management Science
, vol.31
, pp. 461-474
-
-
Benson, H.P.1
-
27
-
-
0038908859
-
Using Efficient Feasible Directions in Interactive Multiple Objective Linear Programming
-
Benson, H.P. and Aksoy, Y. (1991), Using Efficient Feasible Directions in Interactive Multiple Objective Linear Programming, Operations Research Letters 10, 203-209.
-
(1991)
Operations Research Letters
, vol.10
, pp. 203-209
-
-
Benson, H.P.1
Aksoy, Y.2
-
28
-
-
0007216405
-
Finding All Efficient Extreme Points for Multiple Objective Linear Programs
-
Ecker, J.G. and Kouada, I.A. (1978), Finding All Efficient Extreme Points for Multiple Objective Linear Programs, Mathematical Programming 14, 249-261.
-
(1978)
Mathematical Programming
, vol.14
, pp. 249-261
-
-
Ecker, J.G.1
Kouada, I.A.2
-
29
-
-
0000737982
-
Generating All Maximal Efficient Faces for Multiple Objective Linear Programs
-
Ecker, J.G., Hegner, N.S. and Kouada, I.A. (1980), Generating All Maximal Efficient Faces for Multiple Objective Linear Programs, Journal of Optimization Theory and Applications 30, 353-381.
-
(1980)
Journal of Optimization Theory and Applications
, vol.30
, pp. 353-381
-
-
Ecker, J.G.1
Hegner, N.S.2
Kouada, I.A.3
-
30
-
-
0017537903
-
A General Method for Determining the Set of All Efficient Solutions to a Linear Vector Maximum Problem
-
Gal, T. (1977), A General Method for Determining the Set of All Efficient Solutions to a Linear Vector Maximum Problem, European Journal of Operational Research 1, 307-322.
-
(1977)
European Journal of Operational Research
, vol.1
, pp. 307-322
-
-
Gal, T.1
-
32
-
-
0031075657
-
Towards Finding Global Representations of the Efficient Set in Multiple Objective Mathematical Programming
-
Benson, H.P. and Sayin, S. (1997), Towards Finding Global Representations of the Efficient Set in Multiple Objective Mathematical Programming, Naval Research Logistics 44, 47-67.
-
(1997)
Naval Research Logistics
, vol.44
, pp. 47-67
-
-
Benson, H.P.1
Sayin, S.2
-
33
-
-
0003663801
-
-
University of Georgia, Athens, Georgia, 1989
-
Steuer, R.E. (1989), ADBASE Multiple Objective Linear Programming Package, University of Georgia, Athens, Georgia, 1989.
-
(1989)
ADBASE Multiple Objective Linear Programming Package
-
-
Steuer, R.E.1
-
34
-
-
0025448064
-
Solving Multiple Objective Linear Programs in Objective Space
-
Dauer, J.P. and Liu, Y.H. (1990), Solving Multiple Objective Linear Programs in Objective Space, European Journal of Operational Research 46, 350-357.
-
(1990)
European Journal of Operational Research
, vol.46
, pp. 350-357
-
-
Dauer, J.P.1
Liu, Y.H.2
-
35
-
-
0025448065
-
Constructing the Set of Efficient Objective Values in Multiple Objective Linear Programs
-
Dauer, J.P. and Saleh, O.A. (1990), Constructing the Set of Efficient Objective Values in Multiple Objective Linear Programs, European Journal of Operational Research 46, 358-365.
-
(1990)
European Journal of Operational Research
, vol.46
, pp. 358-365
-
-
Dauer, J.P.1
Saleh, O.A.2
-
36
-
-
0002096988
-
Reducing the Size of the Nondominated Set: Pruning by Clustering
-
Morse, J.N. (1980), Reducing the Size of the Nondominated Set: Pruning by Clustering, Computers and Operations Research 7, 55-66.
-
(1980)
Computers and Operations Research
, vol.7
, pp. 55-66
-
-
Morse, J.N.1
-
37
-
-
0017017245
-
Multiple Objective Linear Programming with Interval Criterion Weights
-
Steuer, R.E. (1976), Multiple Objective Linear Programming with Interval Criterion Weights, Management Science 23, 305-316.
-
(1976)
Management Science
, vol.23
, pp. 305-316
-
-
Steuer, R.E.1
-
38
-
-
0002900909
-
Intra-Set Point Generation and Filtering in Decision and Criterion Space
-
Steuer, R.E. and Harris, F.W. (1980), Intra-Set Point Generation and Filtering in Decision and Criterion Space, Computers and Operations Research 7, 41-53.
-
(1980)
Computers and Operations Research
, vol.7
, pp. 41-53
-
-
Steuer, R.E.1
Harris, F.W.2
-
39
-
-
34249762064
-
A Geometrical Analysis of the Efficient Outcome Set in Multiple-Objective Convex Programs with Linear Criterion Functions
-
Benson, H.P. (1995), A Geometrical Analysis of the Efficient Outcome Set in Multiple-Objective Convex Programs with Linear Criterion Functions, Journal of Global Optimization 6, 231-251.
-
(1995)
Journal of Global Optimization
, vol.6
, pp. 231-251
-
-
Benson, H.P.1
-
40
-
-
38249033023
-
Analysis of the Objective Space in Multiple Objective Linear Programming
-
Dauer, J.P. (1987), Analysis of the Objective Space in Multiple Objective Linear Programming, Journal of Mathematical Analysis and Applications 126, 579-593.
-
(1987)
Journal of Mathematical Analysis and Applications
, vol.126
, pp. 579-593
-
-
Dauer, J.P.1
-
41
-
-
21344491583
-
On Degeneracy and Collapsing in the Construction of the Set of Objective Values in a Multiple Objective Linear Program
-
Dauer, J.P. (1993), On Degeneracy and Collapsing in the Construction of the Set of Objective Values in a Multiple Objective Linear Program, Annals of Operations Research 47, 279-292.
-
(1993)
Annals of Operations Research
, vol.47
, pp. 279-292
-
-
Dauer, J.P.1
-
42
-
-
0029636148
-
A Representation of an Efficiency Equivalent Polyhedron for the Objective Set of a Multiple Objective Linear Program
-
Gallagher, R.J. and Saleh, O.A. (1995), A Representation of an Efficiency Equivalent Polyhedron for the Objective Set of a Multiple Objective Linear Program, European Journal of Operational Research 80, 204-212.
-
(1995)
European Journal of Operational Research
, vol.80
, pp. 204-212
-
-
Gallagher, R.J.1
Saleh, O.A.2
-
43
-
-
0029779533
-
A Combined Constraint-Space, Objective-Space Approach for Determining High-Dimensional Maximal Efficient Faces of Multiple Objective Linear Programs
-
Dauer, J.P. and Gallagher, R.J. (1996), A Combined Constraint-Space, Objective-Space Approach for Determining High-Dimensional Maximal Efficient Faces of Multiple Objective Linear Programs, European Journal of Operational Research 88, 368-381.
-
(1996)
European Journal of Operational Research
, vol.88
, pp. 368-381
-
-
Dauer, J.P.1
Gallagher, R.J.2
-
44
-
-
1842802524
-
On the Determination of Minimal Facets and Edges of a Polyhedral Set
-
to appear
-
Jahn, J., On the Determination of Minimal Facets and Edges of a Polyhedral Set, Journal of Multi-Criteria Decision Analysis, to appear.
-
Journal of Multi-Criteria Decision Analysis
-
-
Jahn, J.1
-
45
-
-
0008310573
-
Solving Multiobjective Programming Problems by Discrete Representa-tion
-
Armann, R. (1989), Solving Multiobjective Programming Problems by Discrete Representa-tion, Optimization 20, 483-492.
-
(1989)
Optimization
, vol.20
, pp. 483-492
-
-
Armann, R.1
-
46
-
-
0004070444
-
-
Springer Verlag, Berlin/New York
-
Horst, R. and Tuy, H. (1993), Global Optimization: Deterministic Approaches, 2nd edition, Springer Verlag, Berlin/New York.
-
(1993)
Global Optimization: Deterministic Approaches, 2nd Edition
-
-
Horst, R.1
Tuy, H.2
-
48
-
-
0030242902
-
Deterministic Algorithms for Constrained Concave Minimization: A Unified Critical Survey
-
Benson, H.P. (1996), Deterministic Algorithms for Constrained Concave Minimization: A Unified Critical Survey, Naval Research Logistics 43, 765-795.
-
(1996)
Naval Research Logistics
, vol.43
, pp. 765-795
-
-
Benson, H.P.1
-
49
-
-
0004267646
-
-
Princeton University Press, Princeton, New Jersey
-
Rockafellar, R.T. (1970), Convex Analysis, Princeton University Press, Princeton, New Jersey.
-
(1970)
Convex Analysis
-
-
Rockafellar, R.T.1
-
50
-
-
0030550247
-
Outcome-Based Algorithm for Optimizing over the Efficient Set of a Bicriteria Linear Programming Problem
-
Benson, H.P. and Lee, D. (1996), Outcome-Based Algorithm for Optimizing over the Efficient Set of a Bicriteria Linear Programming Problem, Journal of Optimization Theory and Applications 88, 77-105.
-
(1996)
Journal of Optimization Theory and Applications
, vol.88
, pp. 77-105
-
-
Benson, H.P.1
Lee, D.2
-
51
-
-
0016986845
-
A Successive Underestimating Method for Concave Minimization Problems
-
Falk, J.E. and Hoffman, K.L. (1976), A Successive Underestimating Method for Concave Minimization Problems, Mathematics of Operations Research 1, 251-259.
-
(1976)
Mathematics of Operations Research
, vol.1
, pp. 251-259
-
-
Falk, J.E.1
Hoffman, K.L.2
-
52
-
-
0007221068
-
On Outer Approximation Methods for Solving Concave Minimization Problems
-
Tuy, H. (1983), On Outer Approximation Methods for Solving Concave Minimization Problems, Acta Mathematica Vietnamica 8, 3-34.
-
(1983)
Acta Mathematica Vietnamica
, vol.8
, pp. 3-34
-
-
Tuy, H.1
-
53
-
-
0002467167
-
An Outer Approximation Method for Globally Minimizing a Concave Function over a Compact Convex Set
-
Thieu, T.V., Tam, B.T. and Ban, T.V. (1983), An Outer Approximation Method for Globally Minimizing a Concave Function over a Compact Convex Set, Acta Mathematica Vietnamica 8, 21-40.
-
(1983)
Acta Mathematica Vietnamica
, vol.8
, pp. 21-40
-
-
Thieu, T.V.1
Tam, B.T.2
Ban, T.V.3
-
54
-
-
0023996068
-
On Finding the New Vertices and Redundant Constraints in Cutting Plane Algorithms for Global Optimization
-
Horst, R., Thoai, N.V. and Devries, J. (1988), On Finding the New Vertices and Redundant Constraints in Cutting Plane Algorithms for Global Optimization, Operations Research Letters 7, 85-90.
-
(1988)
Operations Research Letters
, vol.7
, pp. 85-90
-
-
Horst, R.1
Thoai, N.V.2
Devries, J.3
-
55
-
-
1842651409
-
A Finite Method for Globally Minimizing a Concave Function over an Unbounded Polyhedral Convex Set and Its Applications
-
Thieu, N.V. (1988), A Finite Method for Globally Minimizing a Concave Function over an Unbounded Polyhedral Convex Set and Its Applications, Acta Mathematica Hungarica 52, 21-36.
-
(1988)
Acta Mathematica Hungarica
, vol.52
, pp. 21-36
-
-
Thieu, N.V.1
-
56
-
-
0000949397
-
On-Line and Off-Line Vertex Enumeration by Adjacency Lists
-
Chen, P.C., Hansen, P. and Jaumard, B. (1991), On-Line and Off-Line Vertex Enumeration by Adjacency Lists, Operations Research Letters 10, 403-409.
-
(1991)
Operations Research Letters
, vol.10
, pp. 403-409
-
-
Chen, P.C.1
Hansen, P.2
Jaumard, B.3
-
57
-
-
0008366182
-
On the Vertex Enumeration Problem in Cutting Plane Algorithms of Global Optimization
-
G. Fandel and H. Gehring (eds.), Springer Verlag, Berlin/New York
-
Horst, R. (1991), On the Vertex Enumeration Problem in Cutting Plane Algorithms of Global Optimization, in G. Fandel and H. Gehring (eds.), Operations Research, Springer Verlag, Berlin/New York, pp. 13-22.
-
(1991)
Operations Research
, pp. 13-22
-
-
Horst, R.1
-
58
-
-
0008397566
-
Modification, Implementation and Comparison of Three Algorithms for Globally Solving Linearly Constrained Concave Minimization Problems
-
Horst, R. and Thoai, N.V. (1989), Modification, Implementation and Comparison of Three Algorithms for Globally Solving Linearly Constrained Concave Minimization Problems, Computing 42, 271-289.
-
(1989)
Computing
, vol.42
, pp. 271-289
-
-
Horst, R.1
Thoai, N.V.2
-
61
-
-
0010928586
-
-
IMSL, Houston, Texas
-
International Mathematical and Statistical Libraries, Inc. (1991), The IMSL Library Reference Manual, IMSL, Houston, Texas.
-
(1991)
The IMSL Library Reference Manual
-
-
|