IOM homepage

Books


Books

Co-authored books

  • In English
    • M.P.Pardalos, I. Tseveendorj and R.Enkhbat "Optimization and Optimal Control", World Scientific Publishing Co., Singapore, 2003.
    • 3. A.Chinchuluun, Panos M.Pardalos, R.Enkhbat, I.Tseveendorj (Eds), Optimization and Optimal Control, Springer, 2010.
    • A.Chinchuluun, Panos M.Pardalos, R.Enkhbat, E.N.Pistikopoulos (Eds), Optimization, Similation, and Control, Springer, 2013.
  • In Mongolian
    1. Ya.Bazarsad and R.Enkhbat, "Collection of Formulas in Elementary Mathematics", Ulaanbaatar, 1993.
    2. Ya.Bazarsad and R.Enkhbat, "Handbook of Probability Theory and Mathematical Statistics", Ulaanbaatar, 1993, 1998, 2003,2008.
    3. Ya.Bazarsad, D.Tsoodol, U.Tseren, L.Uvgen, R.Enkhbat, “Higher Mathematics Exercise Book”, Vol.1, Mongolian State University, Ulaanbaatar, 1996.
    4. T.Bavuudorj, Ya.Bazarsad, B.Davaatseren, L.Uvgen, S.Togmid, D.Tsoodol, R.Enkhbat, “Higher Mathematics Exercise Book”, Vol.2, Mongolian State University, Ulaanbaatar, 1996.
    5. T.Baasandorj, Ya.Bazarsad, S.Batbileg, L.Uvgen, D.Tsoodol, R.Enkhbat. “Higher Mathematics Exercise Book”, Vol.3, Mongolian State University, Ulaanbaatar, 1996.
    6. J.Baasandorj, T.Bavuudorj, D.Batkhuyag, A.V.Loshenko, U.Tseren, R.Enkhbat, G.Yargai, "Engineering Mathematics", Mongolian Technical University, Ulaanbaatar, 1997.
    7. R.Enkhbat, D.Tsoodol, S.Batbileg, D.Bayanjargal, L.Uvgen and G.Monkhtsetseg, "Mathematics for Economists (exercise and test problems)", Ulaanbaatar, 1998, 2003, 2005.
    8. D.Nyamsuren, R.Enkhbat and Ch.Altannar, "Introduction to  Mathematical Economics", Ulaanbaatar, 2004.
    9. T.Janlav, Ts.Bayasgalan, A.Mekei, R.Enkhbat and O.Tserenbat, “Mongolian Mathematics in 20-th Centure”, Mongolian Academy of Sciences, Ulaanbaatar, Vol.73, 2004.
    10. R.Enkhbat, D.Nyamsuren and M.Mend-Amar, "Exercises and Problems on Optimization", 2005.
    11. R.Enkhbat and G.Chuluun, "Chess and Chess Mathematics", Ulaanbaatar, 2005.
    12. Ya.Bazarsad, R.Enkhbat and others, Methods and Models of Econometrics, Ulaanbaatar , 2007, 2009
    13. R.Enkhbat and L.Altangerel (Eds), Mathematical Economics, Modeling and Optimal Control, Ulaanbaatar, 2010.

Translated Books


  1. Investment Sciences, 2013, Mongolia, Chapter 5 (pp.130-172)
  2. An Introduction to Financial Option Valuation, 2012, Mongolia, pp.268.
  3. Donald Katzner, The Walrasian Vision of the Microeconomics, Ulaanbaatar, Mongolia, 2002.
  4. Statistics for Social Sciences, Ulaanbaatar, Mongolia, 2002.
  5. M.Fogil, Essentials of Microeconomics, Ulaanbaatar, Mongolia, 2003.
  6. M.Fogil, Essentials of Macroeconomics, Ulaanbaatar, Mongolia, 2004.
  7. Bernd Luderer and others, Mathematical Formulas for Economists, Ulaanbaatar, Mongolia, 2005.

Edited Books


  1. D.Garmaa, Mathematical Programming, Ulaanbaatar, 2007
  2. Ya.Bazarsad, Cases and Problems on Probability Theory and Mathematical Statistics, Ulaanbaatar, 2006
  3. D.Tsoodol and S.Batbileg, Operations Research, Ulaanbaatar, 2006
  4. D.Bayanjargal, Mathematical Economics, Ulaanbaatar, 2006
  5. R.Renchinbazar “Mathematical Model of Regional Development of Mongolia”, Ulaanbaatar, 2005
  6. D. Chimedtsogzol, Theory and Applications of Microeconomics, 2005.
  7. D.Nyamsuren and Ch. Altannar, “ Stochastic Process and its Applications”,  Ulaanbaatar, 2004
  8. N.Tungalag “Cost and Managerial Accounting: Analysis and Modeling”, Ulaanbaatar, 2004
  9. S.Budnyam, D.Nyamsuren  “Operational Research”, Ulaanbaatar, 2004
  10. D.Nyamsuren and Ch. Altannar, “ Statistical Methods for Goods Quality’s Control”, Ulaanbaatar,  2004

Research Papers in Journals and Books


  1. R.Enkhbat J.Zhou and K.L. Teo, A Global Optimization Approach to Fractional Optimal Control, Journal of Industrial and Management Optimization, Vol.12, No.1, pp.73-82, 2016.
  2. R.Enkhbat, Global optimization approach to Malfatti's problem, Journal of Global Optimization, Springer, Vol.65, pp.33-39, 2016.
  3. R.Enkhbat, and M.Barkova, Global Search Method for Solving Malfatti's four-Circle Problem, Journal of Irkutsk State University (Series Mathematics, http://isu.ru/izvestia ), Vol.15, pp.38-49, 2016.
  4. B.Barysbek, N.Tungalag and R.Enkhbat, Application of Conditional Gradient Method to a Corporate Financing Problem, International Journal of Pure and Applied Mathematics, No.107(1), pp.179-186, 2016.
  5. R.Enkhbat, M.V.Barkova and A.S.Strekalovsky, Solving Malfatti's High Dimensional Problem by Global Optimization, Numerical Algebra, Control and Optimization, Vol.6(2), pp.153-160, 2016.
  6. R.Enkhbat, N.Tungalag, A.Gornov and A.Anikin, The Curvilinear Search Algorithm for Solving Three-Person Game, pp. 574-583, Supplementary Proceedings (indexed in Scopus) of the 9th International Conference on Discrete Optimization and Operations Research (DOOR2016), Vladivostok, Russia, September 19-23,2016.
  7. R.Enkhbat and B.B.Barysbek, Maximizing the Norm on an Arbitrary Compact, Mathematics and Informatics, Buryat State University, No.4, pp.58-65, 2015.
  8. R.Enkhbat, J.Enkhbayar and A.Griewank, Global Optimization Approach to Utility Maximization Problem, International Journal of Pure and Applied Mathematics, , No.103(3), pp.485-497, 2015.
  9. R.Enkhbat, N.Tungalag and A.S.Strekalovsky, Pseudoconvexity Properties of Average Cost Functions, Numerical Algebra, Control and Optimization, Vol.5, No.3, pp.233-236, 2015.
  10. Ch.Battuvshin, N.Tungalag and N.Sonintamir and R.Enkhbat, Application of the Logistic Growth Model: Estimation of Livestock Population in Mongolia, Modern Management Science and Engineering , Vol.3. No.1, pp.32-38, 2015.
  11. R.Enkhbat, N.Tungalag and D.Bayanjargal, Analysis and Modeling of Mongolian Economic Structure, Journal of Business and Innovation, Vol.2(01), pp.6-28, 2015. (In Mongolian)
  12. R.Enkhbat, N.Tungalag, M.Erdenebat and others, Optimal Control Approach to Inventory Problem, Journal of Business and Innovation, Vol.3(02), pp.6-20, 2015. (In Mongolian)
  13. R.Enkhbat, N.Tungalag and Ch.Battuvshin, Maximization Properties of Average Production Function, International Journal of Pure and Applied Mathematics, No.3, Vol.101, pp.407-411, 2015.
  14. A.Enkhbolor, V.Bouasone, A.Alaadin, R.Enkhbat and H.K.Choi, Cell Segmentation in Phase Contrast Microscopy by Constrained Optimization, International Journal of E-Health and Medical Communications, No.1, Vol.6, pp.36-48, 2015.
  15. N.Tungalag, L.Oyuntsetseg, R.Enkhbat and J.Enkhbayar, An Evaluation of Pension Insurance Reform Options for Mongolia, Proceedings of International Conference on Insurance and Risk Management, pp.551-556, Tsinghua University Press, 2015.
  16. Ch.Ankhbayar, N.Tungalag and R.Enkhbat, Mathematical Model for Credit Risk Evaluation, Proceedings of International Conference on Insurance and Risk Management, pp.601-609, Tsinghua University Press, 2015.
  17. Ch.Battuvshin, B.Chimed-Ochir and R.Enkhbat, Solving Travelling Salesman Problem by Dynamic Programming, International Journal of Research in Computer Application and Management, Vol.4(02), pp.28-30, 2014.
  18. A.Bouhamidi, R.Enkhbat, K.Jbilou, Conditional Gradient Tikhonov for a Convex Optimization Problem in Image Restoration, Journal of Computational and Applied Mathematics, 255(2014), pp.580-592.
  19. R.Enkhbat and T.Bayartugs, Fractional Optimization Problem, Journal of Irkutsk State University (Series Mathematics, http://isu.ru/izvestia ), Vol.8(1), pp.104-115, 2014.
  20. A.S.Strekalovskii and R.Enkhbat, Polymatrix Games and Optimization Problems, Automation and Remote Control, Vol.75, No.4, pp.632-644, 2014.
  21. Ya.Lutbat, R.Enkhbat, Suk-Hwan Lee and W.J.Hwang, Parametric Network Utility Maximization Problem, Optimization Letters, Vol.8, No.3, pp.889-911, 2014.
  22. T.Bayartugs, A.Enkhbolor and R.Enkhbat, Quadratic Optimization over a Box Set, Mathematics and Informatics, Buryat State University, No.1, pp.4-15, 2014.
  23. T.Bayartugs, Ch.Battuvshin and R.Enkhbat, Quadratic Optimization over a Polyhedral Set, International Mathematical Forum, Vol.9, No.13, pp.621-629, 2014.
  24. T.Bayartugs and R.Enkhbat, On the Maximization of Product of Two Concave Functions, Journal of Mongolian Mathematical Society, Vol.18, pp.23-26, 2014.
  25. M.A.Bubenchikov, A.M.Bubenchikov, N.Tumerpurevin, B.V.Tsyrenova and R.Enkhbat, The Potential Deformation of Elastic Parallelepiped, Mathematics and Informatics, Buryat State University, No.2, pp.50-57, 2013.
  26. R.Enkhbat and T.Bayartugs, Quasiconvex Semidefinite Minimization Problem, Journal of Optimization, Vol.2013, ID346131, pp.1-6, 2013.
  27. R.Enkhbat and B.Barsbold, Derivative Variation Approach for Some Class of Optimal Control, Journal of Mongolian Mathematical Society, Vol.17, pp.27-39, 2013.
  28. T.Bayartugs and R.Enkhbat, On the Minimization of Product of Two Concave Functions, Journal of Mongolian Mathematical Society, Vol.17, pp.50-55, 2013.
  29. R.Enkhbat and T.Bayartugs, Semidefinite Quasiconvex Programming, International Journal of Pure and Applied Mathematics, No.4(87), pp.547-557, 2013.
  30. A.Bouhamidi, R.Enkhbat, K.Jbilou, Semidefinite Concave Programming, Journal of Mongolian Mathematical Society, Vol.16, pp.37-46, 2012.
  31. R.Enkhbat and B.Barsbold, Optimal Inscribing of Two Balls into Polyhedral Set, in book: "Optimization, Simulation, and Control", pp. 35-47, Springer, 2013.
  32. R.Enkhbat and D.Bayanjargal, Parametric Optimization Approach to the Solow Growth Theory, in book: "Optimization, Simulation, and Control", pp. 195-203, Springer, 2013.
  33. M.Mend-Amar, R.Enkhbat, and M.Fukushima, Evolutionary Algorithm for Generalized Nash Equilibrium Problems, pp.97-106, Springer, 2013.
  34. Ya.Lutbat, J.Enkhbayar, W.J.Hwang and R.Enkhbat, Parametric Optimization for the Lipschitz Function,International Mathematical Forum, Vol.8, No.7, pp.319-329, 2013.
  35. J.Enkhbayar and R.Enkhbat, Parametric Optimization Approach to Utility Maximization Problem, International Journal of Pure and Applied Mathematics, No.4(78), pp.491-498, 2012.
  36. S.Batbileg and R.Enkhbat, A Global Optimization Approach To a Number Theory Problems, International Journal of Pure and Applied Mathematics, No.1(3), pp.45-51, 2011.
  37. R.Enkhbat, Ya.Bazarsad and J.Enkhbayar, Convex-Concave Fractional Minimization Problem, Journal of Mongolian Mathematical Society, Vol.15, pp. 3-10, 2011.
  38. 19. S.Batbileg, J.Enkhbayar and R.Enkhbat, A Gap Function Approach for Concave Programming, International Mathematical Forum, Vol.6, No.49, pp.2419-2426, 2011.
  39. R.Enkhbat, Ya.Bazarsad and J.Enkhbayar, A Method for Fractional Programming, International Journal of Pure and Applied Mathematics, Vol.73, No.1, pp.93-99, 2011.
  40. S.Batbileg and R.Enkhbat, Global Optimization Approach to Nonzero Sum N Person Game,International Journal: Advanced Modeling and Optimization, Vol.13, No.1, pp.59-66, 2011.
  41. Dang-Quang Bui, R.Enkhbat and W.J.Hwang, Proportional Quasi-Fairness of End-to-End Rates in Network Utility Maximization, IEICE Trans.Fundamentals, Vol.E94-A, No2, pp.850-852, 2011.
  42. Ngoc-Thai Pham, R.Enkhbat and W.J. Hwang, Delay-Guaranteed Scheduling and Flow Control for New Generation Mobile Networks, IEICE Transactions on Communications, Vol.E94-B, No.6, pp.1556-1564, 2011.
  43. A.Radwan, O.Vasilieva, R.Enkhbat, A.Griewank, J.Guddat, Parametric Approach to Optimal Control, Optimization Letters, DOI 10.1007/1590-011-0377-0, 2011.
  44. Y.Lutbat, R.Enkhbat and W.J.Hwang, Large Margin Shortest Path Routing, Optimization Letters, DOI 10.1007/1590-011-0372-5, 2011.
  45. W.J.Hwang, Le Cong Loi, R.Enkhbat, On Solvability of the Rate Control Problem in Wired cum-Wireless Networks, in book: “Optimization and Optimal Control”, pp. 463-479, Springer, 2010.
  46. R.Enkhbat and Ya.Bazarsad, General Quadratic Programming and Its Applications, in book: "Optimization and Optimal Control", pp. 121-139, Springer, 2010.
  47. S.Batbileg and R.Enkhbat, "Global Optimization Approach To Game Theory", Journal of Mongolian Mathematical Society, Vol.14, pp. 2-11, 2010.
  48. J.Torregoza, R.Enkhbat and W.J.Hwang, Joint Power Control, Base Station Assignment, and Channel Assignment in Cognitive Femtocell Networks, Hindawi Publishing Corporation, EURASIP Journal on Wireless Communications and Networking, Volume 2010, Article ID 285714, pp.1-14
  49. R.Enkhbat, Quasiconvex Optimization and its Applications, in: Handbook of Nonconvex Analysis and Applications, International Press, 2010.
  50. R.Enkhbat and B.Ser-Od, Optimization Approach to the Valuation Model, International Journal of Pure and Applied Mathematics, No.1(60), pp.57-62, 2010.
  51. R.Enkhbat, and W.Hwang, Inner Variation Approach for the Calculus of Variations, International Journal of Pure and Applied Mathematics, No.1(65), pp.11-19, 2010.
  52. R.Enkhbat, D.Bayanjargal and A.Griewank, Global Optimization Approach to the Solow Growth Theory, International Journal: Advanced Modeling and Optimization, Vol.12, No.2, pp.133-140. 2010.
  53. R.Enkhbat , A.Bayarbaatar and W.Hwang, Optimization Approach for Solving Some Geometry Problems, International Journal of Pure and Applied Mathematics, No.4(51), pp.547-553, 2009.
  54. W.J.Hwang, R.Enkhbat and A.Bayarbaatar, Methods and Algorithms for Solving the Resource Allocation Problem, International Journal of Pure and Applied Mathematics, No.3(54), pp.345-357, 2009.
  55. R.Enkhbat, Quasiconvex Programming, Journal of Irkutsk State University (Series Mathematics, http://isu.ru/izvestia ), Vol.2(1), pp.283-294, 2009.
  56. B.Barsbold, W.J.Hwang and R.Enkhbat , Network Utility Maximization Problem with Monotonic Functions, in book: Global Optimization: Theory, Methods and Applications 1-2, Lecture Notes in Decision Sciences, Vol.12(A), Global-Link Publisher, Hong Kong-London, pp.162-169, 2009.
  57. W.J.Hwang, R.Casaquite, B.Barsbold and R.Enkhbat , Optimization Decomposition in Energy-Constrained Wireless Networks, Optimization, Vol.58, No.7, pp.845-859, 2009.
  58. M.Majig, B.Barsbold, R.Enkhbat and M.Fukushima, A Global Optimization Approach for Solving Non-Monotone Varational Inequality Problems, Optimization, Vol.58, No.7, pp.871-881, 2009.
  59. A.Chinchuluun, R.Enkhbat and P.M.Pardalos, A Novel Approach for Nonconvex Optimal Control Problems, Optimization, Vol.58, No.7, pp.781-789, 2009.
  60. R.Enkhbat, Theory, Methods and Applications of Concave Programming, in book: Global Optimization: Theory, Methods and Applications 1-2, Lecture Notes in Decision Sciences, Vol.12(A), Global-Link Publisher, Hong Kong-London, pp.292-299, 2009.
  61. B.Barsbold, W.J.Hwang and R.Enkhbat , Derivative Variation Approach for the Calculus of Variations, Mongolian Mathematical Journal, Vol.12, pp.27-38,2008.
  62. R.Enkhbat, J.Guddat and Ch.Altannar, Parametric Multiobjective Optimization , In Chinchuluun, A.; Pardalos, P.M.; Migdalas, A.; Pitsoulis, L. (Eds.): “Pareto Optimality, Game Theory and Equilibria” pp. 889-899, Springer, 2008.
  63. H. Sugiyama, M. Kamada and R. Enkhbat , Image Compression by Spline Wavelets Orthogonal with Respect to Weighted Sobolev Inner Product, The Electronic International Journal Advanced Modeling and Optimization, pp. 163-175, Vol.10, Number 2, 2008.
  64. I.Tseveendorj, C.Roucairol, Bertrand Le Cun, Francois Galea, B.Barsbold and R.Enkhbat; A Complex Search Technique For Solving the Quadratic Assignment Problem, Technical Report of University of Versalles Saint-Quentin-En, pp.1-12, No.506, May 16, 2008.
  65. D.Byambasuren, R.Enkhbat and R.Vogel, Human Capital and Economic Growth: The Case of Mongolia, Papers and Proceedings, Academy of Economics and Finance , USA , pp.53-56, 2008.
  66. R.Enkhbat and A.Bayarbaatar, On the Maximum and Minimum Radius Problems over a Polyhedral Set, Journal of Mongolian Mathematical Society, Vol.9, Vol.11, pp.23-33, 2007.
  67. R.Enkhbat and J.Guddat, Computational Algorithms for Solving Some Optimization Problems in Microeconomics, Journal of Mongolian Mathematical Society, Vol.9, Vol.11, pp.33-46, 2007.
  68. R.Enkhbat and B.Barsbold, A Continuous Relaxation Approach for Solving Quadratic Assignment Problem, International Journal of Pure and Applied Mathematics, Vol.33, No1, pp.93-106, 2006.
  69. R.Enkhbat, B. Barsbold and M.Kamada, “A Numerical Approach for Solving  Some  Convex  Maximization Problems”,  Journal of Global Optimization, Springer,  Vol.35,  pp.85-101, 2006.
  70. A.Chinchuluun, P.M. Pardalos and R.Enkhbat, Global Minimization Algorithms for Concave Quadratic Programming Problems, Optimization, Taylor and Francis, Vol.54, No.6, pp.627-639, 2005.
  71. R. Enkhbat, “On the Minimization of a Strongly Convex Function”, Journal of Mongolian Mathematical Society,  Vol.8,  pp. 19-25,  2004.
  72. R.Enkhbat and B.Barsbold , “On the Nonconvex Optimal Control Problems”, Scientific Transactions, Mongolian University of Science and Technology, Vol.4/8,  pp.24-35, 2006.
  73. L.Altangerel, Ch.Altannar and R.Enkhbat , “ A Note  on the Connection of Varational Inequalities with Convex and Concave Programming”, Journal of Mongolian Mathematical Society, Vol.9, pp.2-9, 2005
  74. R.Enkhbat and J.Guddat, “Computational Algorithms for Solving the Utility Maximization Problem”,  Journal of Mongolian Mathematical Society,  Vol.8,  pp. 31-45,  2004.
  75. A. Chinchuluun, E. Rentsen and P.M. Pardalos , A Note on the Maximization of Strongly Convex Functions, International Journal of Pure and Applied Mathematics, Vol.20, pp.529-538, 2005.
  76. A. Chinchuluun, P.M. Pardalos and E.Rentsen, A Numerical Method for Concave Programming Problems, In A. Rubinov and V. Jeyakumar   (eds): Continuous Optimization: Current Trends and Modern Applications, pp.251-272, Springer, 2005.
  77. R.Enkhbat and T.Ibaraki, “Response Surface Analysis using Quadratic Programming”, International Journal of Systems and Management, No.1, Vol.24, 2005.
  78. M. Kamada and R.Enkhbat., “Periodic Spline  Orthonormal Bases Closest to Periodic $B$-Splines”, International  Journal of Pure and Applied Mathematics, Vol.13,  No.4, pp.513-527, 2005.
  79. M. Kamada, R.Enkhbat and T. Kawahito., “Synthesis of Letter Strings in Script Style Based on Minimum Principle”,  International Journal Advanced Modeling and Optimization, Vol.6, Number 1, 2004.
  80. R.Enkhbat and J.Guddat, “From Linear Parametric Optimization to Nonlinear Parametric Optimization”  Journal of Mongolian Mathematical Society,  Vol.7,  pp. 35-50,  2003.
  81. Ch.Altannar, B.Barsbold and R.Enkhbat, “A Global Method for Solving the Convex Quadratic Maximization Problem,  Journal of Mongolian Mathematical Society, Vol.7,  pp. 19-27,  2003.
  82. R.Enkhbat and J.Guddat, ‘Inverse Parametric Linear Programming’, Journal of Mongolian Mathematical Society, Vol.9, pp.16-22, 2005.
  83. R.Enkhbat, “Theory, Methods and Algorithms for Concave Programming”, in book (editor P.Pardalos) “Optimization and Optimal Control”,  World Scientific Publishing Co., Singapore, pp.69-79, 2003.
  84. M.Kamada, T.Kawahito and R.Enkhbat. “Optimal Synthesis of handwritten letters from their characteristic Points”, in book (editor M.P.Pardalos, I.Tseveendorj and R.Enkhbat) “Optimization and Optimal Control”, World Scientific Publishing Co., Singapore, pp. 103-121, 2003.
  85. R.Enkhbat and T. Ibaraki, On the Maximization and Minimization of a Quasiconvex Function, Proceedings of the Second International Conference on Nonlinear Analysis and Convex Analysis, pp.37-48, Yokohama Publishers, Japan, 2003.
  86. R.Enkhbat and T. Ibaraki, On the Maximization and Minimization of a Quasiconvex Function, International Journal of Nonlinear and Convex Analysis, pp. 43-76, Japan, 2003.
  87. R.Enkhbat,  Minimization of a Convex Function over a Nonconvex Compact Set, Journal of the Mongolian  Mathematical Society, No.6, pp.45-47, 2003.
  88. R.Enkhbat and D.Tserendulam,  An Optimization Approach for Solving a Mining Problem, Journal of the Institute of Mining,  pp. 11-15, 2002, Ulaanbaatar . (in Mongolian).
  89. R.Enkhbat and D.Baynjargal, A Model of Economic Growth, Scientific Journal of the  School of Economic Studies, National University of Mongolia, No.6, pp. 90-96, 2002. (in Mongolian)
  90. R.Enkhbat and T. Ibaraki, Global Optimization Algorithms for General Quadratic Programming, Journal of the Mongolian  Mathematical Society, No.5, pp.22-56, 2001.
  91. R.Enkhbat. On Global Optimality Conditions for Some Nonconvex Problems in Microeconomic Theory, Proceedings of 12-th Baikal International Conference: Optimization Methods and Their Applications, Russia, Irkutsk, June 24-July 1, 2001, pp. 248-254.
  92. Ts.Erdenechimeg and R. Enkhbat. Couples’ Communication and Contraceptive Practice, Reproductive Health Survey, Research Report No.2, pp.31-50, 2001, Ulaanbaatar. (in Mongolian and English)
  93. R.Enkhbat and T.Ibaraki. On Extrema of a Strongly Convex Function, Technical Report 2000-010, Kyoto University, Japan, pp.1-12, 2001.
  94. R.Enkhbat. A Global Method for Some Class of Optimization and Control Problems, International Journal of Mathematics and Mathematical Sciences, USA , Vol.23, No.9, pp.605-616, 2000.
  95. R.Enkhbat. Global Optimization in Microeconomic Analysis, Working paper 2000-1, University of Massachusetts, USA, pp.1-27, 2000.
  96. R.Enkhbat, Ts. Javzandulam. A Global Search Algorithm for the Quadratic Assignment Problem, Journal of the Mongolian Mathematical Society, No.4, pp.16-28, 2000.  
  97. R.Enkhbat, M.Kamada and Ya.Bazarsad. Finite Method of Maximizing Convex Functions over Compact Set, Journal of the Faculty of Engineering Ibaraki University, Japan, No.46, pp.15-21, 1999.
  98. R. Enkhbat. An Optimality Condition for the Minimization Problem of a Convex Function over an Arbitrary Set, Journal of the Mongolian Mathematical Society, No.3, pp.26-28, 1999.  
  99. R.Enkhbat, M.Kamada and Ya.Bazarsad. Finite Algorithm for Maximizing Convex Quadratic Functions over Compact Set, Journal of the Mongolian Mathematical Society, No.3, pp. 29-40, 1999.
  100. R.Enkhbat, N.Tungalag. Global Optimization Approach to the Investment Problem with Quasiconvex Objective Functions, Proceedings of the Mongolian Academy of Sciences, Vol.153, No.3, pp.66-74, 1999.
  101. B.Sainjargal, N.Tungalag, R.Enkhbat. Some Problems on Manufacturing Cost Behaviour Analysis, Scientific Journal of Mongolian State University, No.5(149), pp.78-84, 1999.
  102. Ch.Dagvadorj, R.Enkhbat. Some Macroeconomic Indicator on Pension System in Mongolia, Proceedings of the Mongolian Academy of Sciences, Vol.152, No.2, pp.38-51, 1999. (in Mongolian)
  103. R.Enkhbat.  Quasiconvex and Quasiconcave Programming, Scientific Journal of Mongolian State University and Institute of Mathematics, Vol.154, No.3, pp.57-64, 1999. (in Mongolian)
  104. Ya.Bazarsad, R.Enkhbat. A Finite Method for Solving the Linear Complementarity Problem, Proceedings of 11-th International School-Seminar Optimization Methods and Their Applications, Russia, Irkutsk 5-12 July 1998, pp.189-191. (in Russian)
  105. R.Enkhbat. Global Maximization Problem of a Nonsmooth Convex Function, Proceedings of the Mongolian Academy of Science, Vol.147, ¹1, pp.26-39, 1998.
  106. R.Enkhbat, M.Kamada and Ya Bazarsad. A Finite Method for Quadratic Programming, Journal of the Mongolian Mathematical Society, Ulaanbaatar, No.2, pp.12-30, 1998.
  107. Ya.Bazarsad, R.Enkhbat.  A Global Optimization Method and Algorithm in the Extremal Experiment, Journal “ Optimization, Control and Intellect”, Russia, Irkutsk, No.2, 1997, pp.98-107. (in Russian)
  108. G.Davaadorj, R.Enkhbat and G.Enkhbayar. Mathematical Modeling of an Operative Planning Problem in Mining Process, Scientific Journal of Mongolian Technical University, No.1, pp.63-67, 1997. (in Mongolian)
  109. V.Altantuya and R.Enkhbat. A Mathematical Method for finding an Optimal Enriching Process, Scientific Journal of Mongolian Technical University, No.1, pp.181-185, 1997.( in Mongolian)
  110. R.Enkhbat and Ts. Bolorma. Mathematical Modeling of Population Growth, Scientific Journal of Mongolian State University, No.4 (128), pp.102-109, 1997. (in Mongolian)
  111. R.Enkhbat. Global Maximization Problem of a Nonsmooth Convex Function, Fellowship Research Report, The Matsumae International Foundation, Japan, pp.113-126, 1996.
  112. R.Enkhbat. “An Algorithm for Maximizing a Convex Function over a Simple Set”. Journal of Global Optimization, Kluwer Academic Publishers, Netherlands, Vol.8, N4, pp.379-391, 1996.
  113. R.Enkhbat and M.Kamada. “A Finite Algorithm for Minimizing a Quadratic Functions over Polyhedrons”, Journal of the Faculty of Engineering Ibaraki University, Japan, N.44, pp.56-64, 1996.
  114. R.Enkhbat and M.Kamada. “Mathematical Modeling of Explosive Process in Mining”, Technical Report, Ibaraki University, Japan, N1, pp.1-10, 1996.
  115. S.Chuluunhuag and R.Enkhbat. Mathematical Modeling to Reduce Amount of Iron in Component of water for Household and Industrial Usage, Scientific Journal of the Institute of Waterpolicy, Ulaanbaatar, No.1, pp.68-76, 1996. (in Mongolian)
  116. S.Chimedochir and R.Enkhbat. Optimization of the Technological Process to Produce a wild fruits’s (chazargan) oil, Scientific Journal of Mongolian Technical University, Vol.1, No.23, pp.91-98, 1996. (in Mongolian)
  117. Ts.Batsukh, and D.Byanjargal and R.Enkhbat. To the Theory of Production Function, Scientific Journal of Mongolian State University, No.120, pp.61-75. 1996. (in Mongolian)
  118. Ya. Bazarsad and R.Enkhbat. Optimization Approach to Design of Experiments, Scientific Journal of Mongolian State University, No.120, pp.61-75, 1996. (in Mongolian)
  119. R.Enkhbat, D.Byanjargal and B.Dorjsuren. The Optimality Condition for a Global Extremum Problem of a Quasiconvex Function, Journal of the Mongolian Mathematical Society, Ulaanbaatar, Vol.1, No.1, pp.39-43, 1996.
  120. C.Chimeddulam, S.Bat, R.Enkhbat and R.Naidandorj. Optimization of Ingredients for Ethereal Oil, Scientific Journal of Mongolian Technical University, Vol.1, No.22, pp.114-119, 1995. (in Mongolian)
  121. S.Sosorbaram and R.Enkhbat. Mathematical Model of Pollution of Under Cround Water, Scientific Journal of Mongolian State University, No.2, pp.37-43, 1994. (in Mongolian)
  122. Ya.Bazarsad, D.Enkhtya and R.Enkhbat. Optimization of the Technological Process of Wool Strings, Scientific Journal of Mongolian Technical University, Ulaanbaatar, No.16, pp54-60. 1994. (in Mongolian)
  123. A.Aldarjavhlan, G.Jondonsamvuu and R.Enkhbat.  Optimization of the Technological Process in Shoe Factory, Scientific Journal of Mongolian Technical University, Ulaanbaatar, No.15, pp.78-82, 1993.(in Mongolian)
  124. Ya.Bazarsad, S.Gelegjamz and R.Enkhbat. Optimal Composition of Ingredients for Pressed Animal Food, Scientific Journal of Mongolian Technical University, Ulaanbaatar, No.3, pp.78-82, 1993.(in Mongolian)
  125. R.Enkhbat. Optimality Condition on Extremum Pboblems, Scientific Journal of Mongolian State University, Ulaanbaatar, Vol.1, No.106, pp.85-90, 1992. (in Mongolian)
  126. T.Bayartugs, R.Enkhbat and S.Naranbat. Numerical Methods for solving a Nonconvex Optimization Problem, Scientific Journal of Mongolian State University, Ulaanbaatar, Vol.2, No.107, pp.79-84, 1992.(in Mongolian)
  127. A.S.Strekalovski and R.Enkhbat. Global Maximum of Convex Functions on an Arbitrary Set, Dep.in VINITI, Irkutsk, No.1063, pp.1-27, (26.03.90).(in Russian)
  128. R.Enkhbat. Method and Algorithm for Finding a Global Maximum of Convex Functions on Sets of Special Structure, Dep.in VINITI, Irkutsk, No.4165, pp.1-38, (24.07.90).(in Russian)
  129. G.Javhlan and R.Enkhbat. Optimization of a Chemical Process by the Method of Design of Experiments, Journal of Mongolian Academy of Science, Institute of Microbiology, Ulaanbaatar, No.21, pp.106-112, 1988. (in Mongolian)
  130. R.Enkhbat. To the Theory of linear Programming, Journal of Mongolian Academy of Science, Institute of Mathematics, Ulaanbaatar, No.5, pp.74-80, 1985. (in Mongolian)
  131. A.S.Strekalovski and R.Enkhbat. Optimality Conditions for a Problem of Operations Research, Journal of Discrete and Distributed System, Irkutsk, No.1, pp.151-159, 1981. (in Russian)

Educational Articles


  1. R.Enkhbat, 300 Test Problems on Elementary Mathematics for Entrance Exams. Ulaanbaatar, 1998
  2. R.Enkhbat, How to Make Optimal Decision, Journal of Applied Mathematics, Ulaanbaatar, No.1, pp.10-14, 1996.
  3. R.Enkhbat, What is the Extremum Problem?, Journal of Applied Mathematics, Ulaanbaatar, No.1, pp.17-23, 1995.
  4. R.Enkhbat, One-Dimensional Optimization Problem and its Application, Journal of Applied Mathematics, Ulaanbaatar, No.2, pp.12-23, 1995.
  5. R.Enkhbat, Chess Problem, Journal “Olonlog”, Ulaanbaatar, No.2, pp.62-63, 1994.
  6. R.Enkhbat and S.Lhagbasuren, Mathematics and Chess, Journal “Olonlog”, Ulaanbaatar, pp.46-49, 1993.
  7. R.Enkhbat, Applied Mathematics in Dealer Game, News paper “II Tovchoo”, Ulaanbaatar, 10 May, 1992.
  8. R.Enkhbat, Computer World, Journal of Science and Life, Ulaanbaatar, No.1, pp.1-8, 1992.
  9. R.Enkhbat, Computer Chess, News paper “Chess in Mongolia”, No.2, Ulaanbaatar, 1992.