TÁC GIẢ HOÀNG TỤY

 

Name: HOANG TUY

Nationality: Vietnamese

Date of birth: December 7, 1927

Place of birth: Quangnam-Danang

Institution: Institute of Mathematics, VN National Center for Sciences and Technology

Degree: Ph.D. (Mathematics), Moscow State University, 1959

Honour: Doctor honoris causa, Link¨oping Institute of Technology, 1995

 

Professional Experience

1960 - 68 : Professor, Mathematics Department, Hanoi University

1961 - 68 : Dean, Faculty of Mathematics and Physics, Hanoi University

1969 - 90 : Professor, Institute of Mathematics, National Centre for Sciences and Technology

1980 - 90 : Director, Institute of Mathematics

Secretary General, Vietnamese Mathematical Society

1983 - 86 : Director, Centre for Applied System Analysis, National Institute of Management

1990 - 92 : Chairman, Council of Mathematics, National Centre for Sciences and Technology

1969 - present : Professor, Institute of Mathematics, Hanoi

 

Other scientific activities

1976-85: Associate Editor, "Mathematical Programming"

1976-present : Member, Editorial Board, "Optimization"

1989-present: Advisory Editor, "Journal of Global Optimization"

1980-90: Editor-in-Chief, "Acta Mathematica Vietnamica"

1999- : Advisory Editor, "Nonlinear Analysis Forum"

1982-86: Member, Commission on Exchange and Development, International Mathematical Union.

1983: Chairman, IFIP Working Conference on System Modeling and Optimization, Hanoi.

1976-1997: Member, International Program Committee, International Symposia on Mathematical Programming 1976, 79, 82, 85, 88, 91, 94, 97

 

Visits

1962 (March-April): Mathematical Institute, Novosibirsk

1963 (April-May):

    Mathematical Institute, Pekin;

    Universities of Pekin, Tien-Tsin, Shanghai, Hancheou, Canton.

1964 (March-April):

    Mathematical Institute, Novosibirsk;

    Central Economico-Mathematical Institute, Moscow;

    Institute of Cybernetics, Kiev;

    Leningrad University

1964 (December): Mathematical Institute, Warsaw

1965 (January): Universities of Warsaw, Wroclaw, Krakow

1966 (September):

    Mathematical Institute, Budapest;

    Universities of Budapest and Szeged

1967 (October):

    Steklov Mathematical Institute, Moscow;

    Institute of Cybernetics, Kiev

1972 (March-May):

    Mathematical Institute, Warsaw (guest professor);

    University of Wroclaw

1972 (May-June):

    Mathematical Institute, Berlin;

    Humboldt University, Berlin;

    University of Rostock;

    Technische Hoschule Ilmenau

1973 (August): Central Economico-Mathematical Institute, Moscow

1974 (July): Institute for Computer Science, Warsaw

1976 (August): Institute for Computer Science, Warsaw

1976 (Sept-October): Université Paris-Sud, Orsay (professeur d’échange)

1976 (November):

    Institut de Recherche d’Informatique et d’Automatique (IRIA), Paris;

    University of Budapest

1978 (Oct-December):

    Mathematical Institute, Berlin (guest professor);

    Humboldt University, Berlin;

    Université de Bordeaux, Université Paris-Dauphine.

1979 (September): Dalhousie University, Halifax.

1979 (October): University of Toronto

1979 (November):

    University of Montréal,

    Université Paris-Dauphine;

CEPREMAP (Centre d’Etudes Prospectives d’Economie Appliquées à la Planification.

1980 (September): Universities of Saarbrucken, Bremen.

1988 (October): Technische Hochschule, Ilmenau (guest professor)

1981 (May):

    Computing Centre of the Academy of Science, Moscow;

    Steklov Mathematical Institute, Moscow;

    Institute for System Research, Moscow.

 

1981 (October):

    University of Washington, Seattle;

    Stanford University;

    University of California at Berkeley; University of California at Los Angeles;

    University of Chicago;

    University of Illinois, Urbana;

    Carnegie-Mellon University; Yale University.

1982 (March-April): Université Paris-Dauphine (guest professor).

1982 (May):

    Facultés Universitaires de Namur;

    Mathematical Institute, Berlin.

1983 (Oct-November): University of Bremen (guest professor)

1983 (November):

    University of Groningen;

    Technische Universität, Frei Universität, Berlin.

1984 (Sept-October):

    University of Oldenburg;

    Université de Grenoble, Université Paris-Dauphine.

1985 (May) Université de Toulouse.

1985 (August-Sept):

    Georgia Institute of Technology;

    University of California at LA; Stanford University;

    University of Washington, Seattle.

1986-87: Asian Institute of Technology (guest professor).

1987 (May-June): Université de Limoges (professeur associé).

1988 (May): Universität Trier, Universität Osnabr´uck.

1988 (Sept-October):

    Universities of Nagoya, Kyoto, Tsukuba;

    Tokyo Institute of Technology.

1989 (May-June):

    Universität Trier,

    Graz Technical University;

    University of Aarhus.

1989 (October-November):

    University of Linköping;

    Universität Z¨urich;

    Université de Nice.

1990 (May): University of Linköping.

1990-91 (Oct 90 to Feb 91): Graz Technical University (guest professor).

1991-92 and 92-93: University of Linköping (guest professor).

1992 (June): Ecole Polytechnique de Montréal.

1992 (August): Tokyo Institute of Technology.

1992 (December): Universities of Groningen, Delft.

1993 (August): Tokyo Institute of Technology.

1993 (Sept-December): Ecole Polytechnique de Montréal (guest professor).

1994 (March-May):

    Institut National des Sciences Appliquées,

    Rouen (guest professor).

1994 (May-June):

    Ecole Polytechnique de Montréal (guest professor),

    Georgia Institute of Technology.

1994 (July-August):

    Tokyo Institute of Technoloy,

    Tsukuba University

1994 (November-December): Linköping University (guest professor).

1995 (April-May): Linköping University (guest professor)

1995 (October-December) :

    Linköping University (guest professor),

    Georgia Institute of Technology,

    Bergen University.

1997 (August-September):

    Linköping University (guest professor),

    Institut National des Sciences Appliquées, Rouen.

1997 (October)

    Tokyo Institute of Technoloy,

    Nagoya University.

1998 (April-May)

    Linköping University,

    Facultés Universitaires de Namur.

1998 (June) University of Ballarat, Ballarat

1998 (September) University of Pisa, Pisa

1999 (March)

    University of Florida, Gainesville;

    Georgia Institute of Technology, Atlanta.

1999 (November-December)

    National University of Singapore, Singapore;

    University of Ballarat;

    University of Melbourne;

    University of New South Wales, Sydney (Australia).

2000 (May-June)

    Linköping University,

    Université Paris VI.

2000 (December)-2001(January) Tokyo Institute of Technology

2002 (July-August)

    Georgia Institute of Technology, Atlanta;

    University of Florida, Gainesville.

2003 (July-August)

    Georgia Institute of Technology, Atlanta;

    University of Florida, Gainesville.

2004 (May) Technical University, Graz.

2005 (May)

    Linkoping University, Linkoping (Sweden),

    Technical University of Crete, Chania (Greece)

2005 (December) Melbourne University

 

Invited lectures at international conferences

- Conference on Graph Theory, Tihany 1966.

- Conference on Von Neuman Models, Warsaw 1972.

- Conference on "Computing equilibria: how and why", Torun 1974.

- Conference on Operations Research, Eger 1974.

- IX International Symposium on Mathematical Programming, Budapest 1976 (plenary lecture).

- Conferences on Mathematical Optimization and Applications, Eisenach 1978, 1983, 1987.

- X, XI, XII, XIII International Symposia on Mathematical Programming (Montréal 1979, Bonn 1982, Cambridge 1985, Tokyo 1988).

- 5th, 7th, 9th Symposia on Operations Reseach (K¨oln 1980, Karlsruhe 1983, Osnabr¨uck 1984).

- 11th Symposium on Operations Research, Darmstadt 1986 (plenary lecture).

- Journées Fermat 1985: "Mathematics for Optimization", Toulouse 1985.

- Conference on Parametric Optimization, Plaue 1985, Eisenach 1989.

- 14th IFIP Conference on System Modeling and Optimization, Leipzig 1989 (plenary lecture).

- School-Seminar on Optimization Methods and Applications, Irkustk 1989.

- International Conference on Global Optimization, Sopron 1990.

- Conference on Computational Methods in Global Optimization, Princeton 1991 (plenary lecture).

- Journées d’Optimization, Montréal 1991.

- IFIP Conference on System Modeling and Optimization, Zurich 1991.

- 16th Symposium on Operations Research, Trier 1991.

- International Conference on Parametric Optimization and Related Topics, Tokyo 1997 (plenary lecture)

- International Conference on Global and Combinatorial Optimization, Chania (Crete) 1998

- International Conference ICOTA 98 (Optimization: Techniques and Applications), Perth 1998 (plenary lecture)

- Optimization Days 1998, Perth 1998 (key lecture)

- 9th Belgian-French-German Conference on Optimization, Namur 1998 (plenary lecture)

- Conference on Approximation and Complexity in Numerical Optimization: Continuous and Discrete Problems, Gainesville 1999.

- International Workshop on Constrained Optimization, Sydney 1999

- International Conference on Advances in Convex Analysis and Global Optimization, Samos (Greece) 2000 (plenary lecture)

- 7th International Symposium on Generalized Convexity and Generalized Monotonicicty, Hanoi, 2002 (plenary lecture)

- International Conference on High Performance Scientific Computing, Hanoi, 2003

-5th International Conference on Modelling, Computation and Optimization in Information Systems and Management Sciences, Metz (France), 2004 (plenary lecture)

- International Symposium on Multilevel Programming, Chania, May, 2005 (plenary lecture)

- International Conference on Complementarity, Duality, and Global Optimization with Applications in Engineering and Science, August 15-17, 2005, Blacksburg (USA) (Tutorial lecture)

 

Publication List

A. Monographs

1. Global Optimization (Deterministic Approaches) (with R. Horst), first edition 1990, second edition 1993, third edition 1996, Springer-Verlag, Berlin New York.

2. Low Rank Nonconvex Structures and Global Optimization (with H. Konno and P.T. Thach), Kluwer Academic Publishers, Boston, Dordrecht, London, 1997.

3. Convex Analysis and Global Optimization, Kluwer Academic Publishers, Boston, Dordrecht, London, 1998.

 

B. Research Papers

1. (1959) ‘On the structure of measurable functions’, Doklady Akad. Nauk SSSR, 126:1, 37-40 (in Russian).

2. (1959) ‘On the symmetry of the contingency of the graph of a measurable function’, Doklady Akad. Nauk SSSR, 126:5, 946-947 (in Russian).

3. (1960) ‘On the universal primitive function of Marcinkiewicz’, Izvestja Akad. Nauk SSSR, Ser. Math., 24, 617-628 (in Russian).

4. (1961) ‘Structure of measurable functions I. Math. Sbornik, 53:4, 429-488 (in Russian).

5. (1961) ‘Structure of measurable functions II. Math. Sbornik, 54:2, 177-208 (in Russian).

6. (1963) ‘Graphs and transportation problems’, Sibirskii Mat. Z, 4:2, 426-446 (in Russian).

7. (1964) ‘Sur quelques propriétés des réseaux et leurs applications’, Bull. Acad. Polon. Sci., Ser. Sci. Math. Astronom. Phys, 12, 415-418.

8. (1964) ‘Sur une classe de programmes nonlinéaires’, Bull. Acad. Polon. Sci., Ser. Sci. Math. Astronom. Phys, 12, 213-215.

9. (1964) ‘Concave programming under linear constraints’, Soviet Mathematics, 5, 1437- 1440.

10. (1967,with Ng. Q. Thai) ‘A new method for solving the assignment problem’, Ekonomica i Mat. Metody, 3:6, 903-908 (in Russian).

11. (1966) ‘Some theorems on network flows’, Proceedings, Tihany Symposium on Theory of Graphs, 173-184.

12. (1967) ‘Sur le problème des contraintes supplémentaires en programmation linéaire et son application au problème de décomposition’, Elektron. Informationsverarbeit. Kybernetik, 3, 141-156.

13. (1968, with Ng. Q. Thai) ‘On two assigment problems’ Ekonomika i Mat. Metody. Sbortnik, 1-20 (in Russian).

14. (1968) ‘On linear inequalities’, Doklady Akad. Nauk SSSR, 179:2, 293-296 (in Russian).

15. (1971) ‘Sur les fonctions presque anes’, Colloquium Math., 22:2, 301-309.

16. (1971) ‘On a class of minimax problems’, Kibernetika, 2, 115-118 (in Russian).

17. (1971) ‘A note on quasiane functions’, Mat. Zametki, 9:4, 435-440 (in Russian).

18. (1972) ‘Convex inequalities and the Hahn-Banach Theorem’, Dissertationes Mathematicae, XCVII.

19. (1974) ‘The Farkas-Minkowski Theorem and extremum problems’, in Mathematical Models in Economics, eds. J. Los and M. W. Los, 379-400.

20. (1974) ‘On an axiomatics for extremum problems and first order necessary conditions’, Doklady Akad. Nauk SSSR, 216:6, 1233-1236 (in Russian).

21. (1974) ‘On a general minimax theorem’, Doklady Akad. Nauk SSSR, 219:4, 818-822 (in Russian).

22. (1974) ‘On necessary conditions for optimality’, in Progress in Operations Research, Colloquia Mathematica Societatis Bolyai 12, 1233-1236.

23. (1974) ‘On the convex approximation of nonlinear inequalities’, Math. Operationsforschung und Statistik, 5, 451-466.

24. (1975) ‘On the general minimax theorem’, Colloquium Math., 33, 145-158.

25. (1976) ‘On the foundation of the maximum principle’, Acta Mathematica Vietnamica, 1:1, 104-126.26. (1976) ‘On the equivalence between Walras’ excess demand theorem and Brouwer’s fixed point theorem’, in Computing Equilibria: How and Why ?, eds. J. Los and M. W. Los, North-Holland, 61-64.27. (1976) ‘Fixed points, fair sharing and mathematical programming’, in Survey of Mathematical Programming, Proceedings, IX International Symposium on Math. Programming, Budapest, 2, 83-97.

28. (1977) ‘Stability property of a system of inequalities’, Math. Operationsforschung und Statistik, Ser. Optimization, 8, 27-39.

29. (1977) ‘Critical mappings and extremum problems’, Mat. Metody Peshenya Ekonom. Zadachi, Sbornik 7, 69-84 (in Russian).

30. (1978, with N.V. Thoai and L. D. Muu) ‘Un nouvel algorithme de point fixe’, C.R. Acad. Sci. Paris, 286, Ser. A, 783-785.

31. (1978, with Pham Canh Duong), ‘Stability,surjectivity and local invertibility of non differentiable mappings’, Acta Mathematica Vietnamica, 3, 89-105.

32. (1978,with N.V.Thoai and L.D. Muu) ‘A modification of Scarf’s algorithm allowing restarting’, Math. Operationsforschung und Statistik, Ser. Optimization, 9, 357- 372.

33. (1979) ‘Pivotal methods for computing equilibrium points: unified approach and new restart algorithm’, Mathematical Programming, 16, 210-227. 34. (1979) ‘Combinatorial method for solving nonlinear equations in finite-dimensional and infinite-dimensional spaces’, Acta Mathematica Vietnamica, 4, 110-135.

35. (1980) ‘Three improved versions of Scarf’s method using conventional subsimplices and allowing restart and continuation procedures’, Math. Operationsforschung und Statistik, Ser. Optimization, 11, 347-365.

36. (1980) ‘Solving equations 0 2 f(x) under general boundary conditions’, in Numerical Solution of Highly Nonlinear Problems, ed. W. Forster, North-Holland, 271-296.

37. (1980, with N.V. Thoai) ‘Convergent algorithms for minimizing a concave function’, Mathematics of Operations Research, 5, 556-566.

38. (1980, with N.V. Thoai) ‘Solving the linear complementarity problem via concave programming’, in Methods of Operations Research, eds. R.E. Burkard and T. Ellinger, 175-178.

39. (1981) ‘On variable dimension algorithms and algorithms using primitive sets’, Math. Operationsforschung und Statistik, Ser. Optimization, 12, 361-381.

40. (1981) ‘A fixed point theorem involving a hybrid inwardness-contraction condition’, Math. Nachr. , 102, 271-275.

41. (1981) ‘Conical algorithm for solving a class of complementarity problems’, Acta Mathematica Vietnamica, 6:1, 3-17.

42. (1981, with N.Q. Thai) ‘Minimizing a concave function over a compact convex set’, Proceedings, Conference on Optimization, Vitte/Hiddensee, May 1981, 15-20.

43. (1983,with N.V. Thoai) ‘Solving the linear complementarity through concave programming’, USSR Computational Mathematics and Math. Physics, 23, 602-608.

44. (1983) ‘On outer approximation methods for solving concave minimization problems’ Acta Mathematica Vietnamica, 8:2, 3-34.

45. (1984) ‘Global minimization of a difference of two convex functions’, Lecture Notes in Economics and Mathematical Systems, Springer-Verlag, 226, 98-118.

46. (1985) ‘Concave minimization under linear constraints with a special structure’, Optimization, 16, 335-352.

47. (1985, with T.V. Thieu and N.Q. Thai), ‘A conical algorithm for globally minimizing a concave fucntion over a closed convex set’, Mathematics of Operations Research, 10, 498-514.

48. (1985, with N.V.Thuong) ‘Minimizing a convex function over the complement of a convex set’, in Proceedings, IX Symposium on Operations Research, Osnabruck, Methods of Operations Research, 49, 85-99.

49. (1985, with N.V. Thuong) ‘A finite algorithm for solving linear programs with an additional reverse convex constraint’, in Nondifferentiable Optimization: Motivations and Applications, eds. V.F. Demyanov and D. Pallaschke, Lecture Notes in Economics and Math. Systems, 225, Springer-Verlag, 291-302.

50. (1986) ‘A general deterministic approach to global optimization via d.c. programming’, in J.B. Hiriart-Urruty ed., Fermat Days 1985: Mathematics for Optimization, North-Holland, Amsterdam, 137-162.

51. (1987) ‘Global Minimization of a Difference of Two Convex Functions’, Mathematical Programming Study, 30, 150-182

52. (1987) ‘A note on the out-of-kilter algorithm for solving the minimum-cost flow problem’, Industrial Engineering Journal, 16:4, 20-37.

53. (1987) ‘Convex Programs with an Additional Reverse Convex Constraint’, Journal of Optimization Theory and Applications, 52, 463-486.

54. (1987, with V. Khachaturov and S. Utkin) ‘A Class of Exhaustive Cone Splitting Procedures in Conical Algorithms for Concave Minimization’, Optimization, 18, 791-807.

55. (1987,with P.T. Thach) ‘Global optimization under Lipschitzian constraints’, Japan Journal of Applied Mathematics, 4, 205-217.

56. (1987, with R. Horst) ‘On the convergence of global methods in multiextremal optimization’, Journal of Optimization Theory and Applications, 54, 253-271.

57. (1987, with R.Horst and N.v. Thoai) ‘Outer approximation by polyhedral convex sets’, Operations Research Spectrum, 9, 153-159.

58. (1987) ‘An implicit space covering method with applications to fixed point and global optimization problems’, Acta Mathematica Vietnamica, 12:2, 162-170.

59. (1988, with P.T. Thach) ‘A parametric approach to a class of nonconvex global optimization problems’, Optimization, 19, 3-11.

60. (1988, with N.V. Thuong) ‘On the Global Minimization of a Convex Function Under General Nonconvex Constraints’, Applied Mathematics and Optimization, 18, 119-142.

61. (1988, with R. Horst) ‘Convergence and restart in branch and bound algorithms for global optimization. Application to concave minimization and d.c. optimization problems’, Mathematical Programming, 42, 161-184.

62. (1988, with S. Utkin and V. Khachaturov) ‘A new exhaustive procedure for concave minimization’ (in Russian), USSR Computational Mathematics and Mathematical Physics, 7, 992-999.

63. (1989, with R. Horst and N.V. Thoai) ‘On an outer approximation concept in global optimization’, Optimization, 20, 255-264.

64. (1990, with P.T. Thach) ‘The relief indicator method for constrained global optimization, Naval Research Logistics, 37, 473-497.

65. (1990, with P.T. Thach) ‘The Relief Indicator Method as a New Approach to Constrained Global Optimization’, in System Modelling and Optimization, Proceedings 14th IFIP Conference, Leipzig, Lecture Notes in Control Information Sciences, 143, 219-233.

66. (1990) ‘On polyhedral annexation method for concave minimization’, in Functional Analysis, Optimization and Mathematical Economics, eds. Lev J. Leifman and J.B. Rosen, Oxford University Press, 248-260.

67. (1991) ‘Normal conical algorithm for concave minimization over polytopes’, Mathematical Programming, 51, 229-245.

68. (1991, with R. Horst) ‘The Geometric Complementarity Problem and Transcending Stationarity Problem in Global OPtimization’, DIMACS Series in Discrete Mathematics and Computer Science, Vol. 4, Applied Geometry and Discrete Mathematics, The Victor Klee Festschrift, 341-353.

69. (1991) ‘Computing fixed points by global optimization methods’, in Fixed Point Theory and Applications, eds. MA Thera and Baillon, Longman Scientific and Technical, 231- 244.

70. (1991) ‘Effect of the Subdivision Strategy on Convergence and Eciency of Some Global Optimization Algorithms’, Journal of Global Optimization, 1, 23-36.

71. (1991) ‘Polyhedral Annexation, Dualization and Dimension Reduction Technique in Global Optimization’, Journal of Global Optimization, 1, 229-244.

72. (1992) ‘The Complementary Convex Structure in Global Optimization’, Journal of Global Optimization,, 2, 21-40.

73. (1992) ‘On Nonconvex Optimization Problems with Separated Nonconvex Variables’, Journal of Global Optimization, 2, 133-144.

74. (1992, with B.T. Tam) ‘An ecient solution method for rank two quasiconcave minimization problems’ Optimization, 24, 43-56.

75. (1992, with F.A. Al-Khayyal) ‘A class of global optimization problems solvable by sequential unconstrained convex minimization’, in Recent Advances in Global Optimization, eds. C.A.Floudas and P.M. Pardalos, Princeton University Press, 141-151.

76. (1992, with F.A. Al-Khayyal) ‘Global Optimization of a Nonconvex Single Facility Location Problem by Sequential Unconstrained Convex Minimization’, Journal of Global Optimization, 2, 61-71.

77. (1992, with S. Ghannadan, A. Migdalas and P. V°arbrand) ‘Strongly Polynomial Algorithm for a Production-Transportation Problem with Concave Production Cost’, Optimization, 27, 205-227.

78. (1992, with P.-C. Chen, P. Hansen, B. Jaumard) ‘Weber’s Problem with Attraction and Repulsion’, Journal of Regional Science, 32, 467-486.

79. (1993, with B. Klinz) ‘Minimum Concave-Cost Network Flow Problems with a Single Nonlinear Arc Cost’, in Network Optimization Problems, eds. P. Pardalos and Dingzhu Du, World Scientific, 125-143.

80. (1993, with A. Migdalas and P. V°arbrand) ‘A Global Optimization Approach for the Linear Two-Level Program’, Journal of Global Optimization, 3,1-23.

81. (1993, with N.D. Dan and S. Ghannadan) ‘Strongly Polynomial Time Algorithm for Certain Concave Minimization Problems on Networks’, Operations Research Letters, 14, 99-109.

82. (1994, with W. Oettli) ‘On Necessary and Sucient Conditions for Global Optimization’, Matem´aticas Aplicadas, 15, 39-41.

83. (1994, with A. Migdalas and P. V°arbrand) ‘A Quasiconcave Minimization Method for Solving Linear Two Level Programs’, Journal of Global Optimization, 4, 243-264.

84. (1994, with U. Pferschy) ‘Linear ProgramsWith an Additional Rank Two Reverse Convex Constraint’, Journal of Global Optimization, 4, 347-366

85. (1994, with B.T. Tam and N.D. Dan) ‘Minimizing the sum of a convex function and a specially structured nonconvex function’, Optimization, 28, 237-248.

86. (1994, with S. Ghannadan, A. Migdalas and P. V°arbrand) ‘Heuristics Based on Tabu Search and Lagrangian Relaxation for the Concave Production-Transportation Problem’, Studies in Regional and Urban Planning , issue 3, 127-141.

87. (1995) ‘D.C. Optimization: Theory, Methods and Algorithms’, in Handbook of Global

Optimization, R. Horst and P. Pardalos eds, Kluwer Academic Publishers, 149-216. 88. (1995, with S. Ghannadan, A. Migdalas and P. V°arbrand) ‘Strongly Polynomial Algorithmfor Two Special Minimum Concave Cost Network Flow Problems’, Optimization 32, 23-44.

89. (1995, with S. Ghannadan, A. Migdalas and P. V°arbrand) ‘The Minimum Concave Cost Flow Problem with Fixed Numbers of Nonlinear Arc Costs and Sources’ Journal of Global Optimization 6,135-151.

90. (1995, with B.T. Tam) ‘ Polyhedral Annexation vs Outer Approximation Methods for Decomposition of Monotonic Quasiconcave Minimization’, Acta Mathematica Vietnamica 20, 99-114.

91. (1995) Canonical D.C. Programming: Outer Approximation Methods Revisited, Operations Research Letters 18, 99-106.

92. (1995, with Faiz Al-Khayyal and Fangjun Zhou) ‘A D.C. Optimization Method for Single Facility Location Problems’, Journal of Global Optimization 7, 209-227.

93. (1995, with P. Hansen and B. Jaumard) ‘Global Optimization in Location’, in Facility Location (Zvi Dresner, ed.), Springer-Verlag, 43-68.

94. (1996, with S. Ghannadan, A. Migdalas and P. V°arbrand) ‘Strongly Polynomial Algorithm for a Concave Production-Transportation Problem With a Fixed Number of Nonlinear Variables’. Mathematical Programming 72, 229-258.

95. (1996) ‘A General D.C. Approach to Location Problems’. State of the Art in Global Optimization: Computational Methods and Applications, C. Floudas and P. Pardalos, ed., Kluwer 413-432 (1996)

96. (1997) (with S. Ghannadan) ‘A new branch and bound method for bilevel linear programs’, in Multilevel Optimization: Algorithms and Applications (P.M. Pardalos, A. Migdalas and P. V°arbrand, eds), Kluwer Academic Publishers, 231-241.

97. (1997) ‘Bilevel linear programming, multiobjective linear programming and monotonic reverse convex programming’, in Multilevel Optimization: Algorithms and Applications (P.M. Pardalos, A. Migdalas and P. V°arbrand, eds), Kluwer Academic Publishers, 295-304.

98. (1997), with P. Hansen, B. Jaumard and C. Meyer) ‘Generalized convex multiplicative programming via quasiconcave minimization’ Journal of Global Optimization 10, 229-256.

99. (1998, with P.-C. Chen, P. Hansen, B. Jaumard) ‘Solution of the multifacility Weber and conditional Weber problems by D.C. Programming’, Operations Research, 46, 548-562.

100. (1999, with K. Holmberg) ‘A production-transportation problem with stochastic demands and concave production cost Mathematical Programming 85, 157-179.

101. (1999) ‘Normal sets, polyblocks and monotonic optimization’ Vietnam Journal of Mathematics 27:4, 289-311.

102. (2000). ‘On Parametric Methods in Global Optimization’, in Parametric Optimization and Related Topics V, J. Guddat, R. Hirabayashi, H. Th. Jongen, F. Twilt eds, Peter Lang 2000, 195-212.

103. (2000) (with Ng. D. Nghia): ‘Decomposition Algorithm for Reverse Convex Programs’, Vietnam Journal of Mathematics, 28:1(2000), 43-56.

104. (2000) ‘The MCCNF problem with a fixed number of nonlinear arc costs: complexity and approximation’, in Approximation and Complexity in Numerical Optimization: Continuous and Discrete Problems (P. M. Pardalos, ed.), Kluwer Academic Publishers, 2000, pp. 525-541.

105. (2000) ‘Strong polynomial time solvability of a minimum concave cost network flow problem’, Acta Mathematica Vietnamica 25, 209-217.

106. (2000) (with L.T. Luc) ‘A New Approach to Optimization Under Monotonic Constraint’, Journal of Global Optimization 18(2000), 1-15.

107. (2000) ‘On Some Recent Advances and Applications of D.C. Optimization’, in Optimization, Lecture Notes in Economics and Mathematical Systems, Vol. 481, (V.H. Nguyen, J.J. Strodiot and P. Tossings, eds.), Springer, 2000, pp. 473-497.

108. (2000): ’Global Optimization Methods for Location and Distance Geometry Problems’, in Progresses in Optimization II (contributions from Australasia) (X.Q. Yang, A.I. Mees, M. Fisher and L. Jennings eds.), Kluwer Academic Publishers, 2000, 3-20.

109. (2000) (with H.D. Tuan, P. Apkarian and S. Hosoe): ‘D.C. optimization approach to robust control: feasibility problems’, Int. J. Control, 73:2(2000), 89-104.110. (2000) (with H.D. Tuan and S. Hosoe): ‘D.C. optimization approach to robust controls: the optimal scaling value problems’. IEEE Transactions on Automatic Control Vol45, No. 10 (2000), 1903-1909.

111. (2000) (with P.M. Pardalos and H.E. Romeijn): ‘Recent Developments and Trends in

Global Optimization’, Journal of Computational and AppliedMathematics, 124(2000),209-228.

112. (2000) ‘Monotonic Optimization: Problems and Solution Approaches’, SIAM Journal on Optimization, Vol. 11, No. 2 (2000), 464-494.

113. (2001) (with A. Rubinov and H. Mays) ‘Algorithm for a Monotonic Global Optimization Problem’ , Optimization 49(2001), 205-221.

114. (2001) (with A.M. Bagirov and A.M. Rubinov) ‘Clustering via D.C. Optimization’ in Advances in Convex Analysis and Optimization, N. Hadjisavvas and P.M. Pardalos eds, Kluwer, 221-235.

115. (2001) ‘Convexity and Monotonicity in Global Optimization’ , in Advances in Convex Analysis and Optimization, N. Hadjisavvas and P.M. Pardalos eds, Kluwer, 569-594.

116. (2001) ‘Cutting Planes in Global Optimization’, in Encyclopedia of Optimization, eds C. Floudas and P. Pardalos, Kluwer 2001, vol I, pp. 366-371.

117. (2001)‘Hierarchical Optimization’, in Encyclopedia of Combinatorial Optimization, eds. P. Pardalos and M. Resende, Oxford University Press, 2002, 502-513.

118. (2001) (with A. Bui and M. Bui) ‘A nonconvex optimization problem arising from distributed computing’, Mathematica, 43(66), No 2, 2001, 151-165.

119. (2002) ‘Normal branch and bound algorithms for general nonconvex quadratic programming’ in Combinatorial and Global Optimization (P.M. Pardalos, A. Migdalas and R.E. Burkard, eds.), World Scientific Publishing Co. , 333-355.

120. (2002) (with F. Al-Khayyal and F. Zhou) ‘Large-Scale Single Facility Continuous Location by D.C. Optimization’, Optimization 51(2002), 271-292.

121. (2002) (with Ng.T. Hoai Phuong): ‘A Unified Monotonic Approach to Generalized Linear Fractional Programming’, Journal of Global Optimization 23(2002) 1-31.

122. (2002) (with Ng.T. Hoai Phuong) ‘A Monotonicity Based Approach to Nonconvex Quadratic Optimization’ , Vietnam Journal of Mathematics, 30:4(2002), 373-393.

123. (2002) (with L.N. Tho, and T.T. Son): ‘Low-Complexity Optimization-based Algorithms for Maximum Likelihood Multi-user Detection’, Proceedings, International Symposium on Wireless Personal Multimedia Communications, Hawai, October 2002.

124. (2003) ‘On global optimality conditions and cutting plane algorithms, Journal of Optimization Theory and Applications, Vol. 118(2003), No. 1, 201-216.

125. (2003) (with L.S. Vinh and Ng.. Nghia): A discrete location problem, Acta Mathematica Vietnamica, 28(2003), 185-199 .

126. (2003) (with H. Konno and N. Kawadai): ‘Convex minimization under semi-definite constraints with applications’, Journal of Global Optimization, 25(2003)141-155.

127. (2003) (with Ng.. Nghia): ‘Reverse Polyblock Approximation for Generalized Multiplicative/Fractional Programming’ VN Journal of Mathematics 31(2003), 391-402.

128. (2003) (with H.D. Tuan, L.H. Nam and T.Q. Nguyen): ’Multicriterion Optimized QMF Bank Design’, IEEE Transactions on Signal Processing, 51(2003), 2582-2591.

129. (2004) (with H. Konno and P.T. Thach) ‘Optimization of Polynomial Fractional Functions’, Journal of Global Optimization, 29(2004), 19-44.

130. (2004) Minimax Theorems Revisited, Acta Mathematica Vietnamica, 29(2004), 217-229.

131. (2005) ‘Monotonicity in the framework of generalized convexity, Proceedings, 7th International Symposium on Generalized Convexity/Monotonicity, eds. A. Eberhard, N. Hadjisavas and D.T. Luc, Springer 2005, 61-85.

132. (2005) Partly convex and convex-monotonic optimization problems, Modelling, Simulation and Optimization of Complex Processes, Proceedings of the International Conference on High Performance Scientific Computing, March 10-14, 2003, Hanoi, Vietnam, Eds. Hans Georg Bock, Ekaterina Kostina, Hoang Xuan Phu, Rolf Rannacher, Springer 2005,485-508.

133. (2005) (with F. A. Al-Khayyal and P.T. Thach), ‘Monotonic Optimization: Branch and Cuts Methods’, in Essays and Surveys on Global Optimization, eds. C. Audet, P. Hansen, G. Savard, GERAD, Springer, 2005, 39-78.

134. (2005) ‘Polynomial Optimization: A Robust Approach’, Pacific Journal of Optimization, 1(2005), 357-374.

135. (2005) ‘On solving nonconvex optimization problems by reducing the duality gap’, Journal of Global Optimization 32(2005), 349-365.

136. (2005) ‘Robust Solution of Nonconvex Global Optimization Problems’, Journal of Global Optimization 32(2005), 307-323.

137. (2006) (with M. Minoux and N.T. Hoai Phuong) ‘Discrete Monotonic Optimization With Application to A Discrete Location Problem’, SIAM Journal of Optimization, 17(2006)78-97.

138. (2006) (with N.T. Hoai-Phuong) ‘Optimization under composite monotonic constraints and constrained optimization over the ecient set’, in Global Optimization: From Theory to Implementation, eds. L. Liberti and N. Maculan, Springer, 2006, 3-32.

139. (2006) (with N.T. Hoai-Phuong and Faiz Al-Khayyal) ‘Optimization of a quadratic function with a circulant matrix’, Computational Optimization and Applications, 2006, to appear.

140. ‘On Duality Bound Methods for Nonconvex Global Optimization’, Journal of Global Optimization, 2006, to appear

141. ‘On a Decomposition Method for Nonconvex Global Optimization’ Optimization Letters, 2006, DOI:10.1007/s11590-006-0025-2.

142. (with N.T. Hoai-Phuong) ‘A Robust Algorithm for Quadratic Optimization Under Quadratic Constraints’, Journal of Global Optimization, 2006, DOI10.1007/s10898-006-9063-7.

143. (2006) (with A. Migdalas and N.T. Hoai Phuong) ‘A Novel Approach to Bilevel Nonlinear Programming’, Journal of Global Optimization, 2006, to appear

Links:

Gs Hoàng Tụy (Wikipedia)

GS. Hoàng Tụy, người khai sinh lý thuyết Tối ưu Toàn cục

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