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許瑞麟   Ruey-Lin Sheu
職稱教授

電話06-2757575 轉 65150

傳真06-2743191

辦公室數學系館 408

電子郵件rsheu[at]mail.ncku.edu.tw

個人網頁http://www.math.ncku.edu.tw/~rsheu

專長學門運籌學、演算法、二次規劃、分數型規畫、非線性分析

學歷    北卡羅萊納州立大學博士 (1992)
北卡羅萊納州立大學碩士 (1991)
清華大學學士 (1987)

經歷    1999–         成功大學數學系教授
2008–2012  成功大學數學系系主任
1993–1999  成功大學數學系副教授
1992–1993  AT&T 貝爾實驗室 Member of Technical Staff

編輯委員    
  • 2006 – present: Associate Editor, Journal of Global Optimization
  • 2014 – present: Associate Editor, Taiwanese Journal of Mathematics
  • 2013: Guest Editor (with J. Sun and W. Xing) of Pacific Journal of Optimization
  • 2011: Guest Editor (with B. Mordukhovich and N. Popovici) of the symposium proceedings for GCM 10, a special issue to be published in Journal of Global Optimization

國際學術機構邀請演講    
  1. Department of Mathematics, Faculty of Science, Chiang Mai University, Thailand, January 2016.
  2. School of Mathematics and System Sciences, Beihang University, Beijing, China, July 2015.
  3. Department of Industrial Engineering, North Carolina State University, USA, February 2015.
  4. Institute of Computational Mathematics and Engineering Computing, Chinese Academy of Sciences, Beijing, China, January 2015.
  5. Department of Mathematical Sciences, Tsing Hua University, Beijing, China, January 2015.
  6. Department of Mathematical Sciences, Tsing Hua University, Beijing, China, January 2015.
  7. College of Engineering and Natural Sciences, Sabanci University, Istanbul, Turkey, October 2014.
  8. Department of Decision Sciences, National University of Singapore, May 2013.
  9. Department of Mathematics, Izmir University of Economics, Turkey, July 2011.
  10. Graduate School of Science and Technology, Niigata University, Japan, December 2007.
  11. Centre for Informatics and Applied Optimization, University of Ballarat, Australia, August 2007.
  12. College of Engineering and Natural Sciences, Sabanci University, Istanbul, Turkey, April 2007.
  13. Department of Mathematical Sciences, Tsing Hua University, China, December 2006.
  14. Department of Mathematical Sciences, Tsing Hua University, Beijing, China, June 2006.
  15. Department of Industrial Engineering, North Carolina State University, USA, November 2004.

研究計畫    
  1. An analytic approach for the Celis-Dennis-Tapai problem Ministry of Science and Technology, 2016 – 2018 (NTD 2,260,500)
  2. Maximizing the sum of a generalized Rayleigh quotient and another Rayleigh quotient with applications National Science Council of Taiwan, 2014 – 2016 (NTD 2,521,500)
  3. On global minimization for a ratio of quadratic functions over quadratic constraints National Science Council of Taiwan, 2013 – 2014 (NTD 469,000)
  4. Estimation on the duality gap for the semidefinite programming relaxation of the standard quadratic program National Science Council of Taiwan, 2012 – 2013 (NTD 421,000)
  5. Extremal points of the generalized Ginzburg-Landau functionals National Science Council of Taiwan, 2011 – 2012 (NTD 365,000)
  6. Canonical duality for solving some classes of non-convex quadratic programming problems National Science Council of Taiwan, 2009 – 2011 (NTD 1,466,000)
  7. Canonical duality on local optimizers of quadratic functions with one quadratic constraint National Science Council of Taiwan, 2008 – 2009 (NTD 503,000)
  8. Theoretical and computational study on canonical duality for non-convex fractional program National Science Council of Taiwan, 2007 – 2008 (NTD 613,000)
  9. Primal-dual algorithm for solving min-max fractional programming National Science Council of Taiwan, 2005 – 2007 (NTD 978,000)
  10. Optimizing sum-of-ratios by stochastic search algorithm National Science Council of Taiwan, 2004 – 2005 (NTD 744,500)
  11. Minimization of an isotonic function composed of fractions National Science Council of Taiwan, 2003 – 2004 (NTD 452,600)
  12. Entropic regularization and generalized fractional programs of infinitely many ratios National Science Council of Taiwan, 2002 – 2003 (NTD 597,300)
  13. Computational efficiency of a new entropic-based interior point algorithm for minimax problems National Science Council of Taiwan, 2000 – 2002 (NTD 546,100)
  14. Optimization and statistical mechanics National Science Council of Taiwan, 2000 (NTD 513,500)
  15. Algorithms for min-max problems involving infinitely many convex functions National Science Council of Taiwan, 1999 – 2000 (NTD 385,800)
  16. Extensions and applications for certain convex min-max problems National Science Council of Taiwan, 1998 – 1999 (NTD 337,000)
  17. Using a combined row and column generation method for solving large scale linear program with applications National Science Council of Taiwan, 1997 – 1998 (NTD 243,800)
  18. Interior point methods for nonlinear convex programming National Science Council of Taiwan, 1996 – 1997 (NTD 241,000)
  19. Semi-infinite linear programming with large scale matrix computation National Science Council of Taiwan, 1995 – 1996 (NTD 326,500)
  20. Revised column generation for solving simulated crew scheduling problem National Science Council of Taiwan, 1993 – 1995 (NTD 200,000)

論文選輯
  1. Y. Hsia, R.-L. Sheu*, Y. Yuan, 2017, “Theory and application of p-regularized subproblems for p>2,” to appear in Optimization Methods and Software.
  2. Y. Xia, R. L. Sheu*, S. C. Fang, and W. Xing, 2017, “Double well potential function and its optimization in the n-dimensional real space -- part II,” Journal of Industrial and Management Optimization, vol. 13, no. 3, pp. 1307 – 1328.
  3. S. C. Fang, D. Y. Gao, G. X. Lin, R. L. Sheu*, and W. Xing, 2017, “Double well potential function and its optimization in the n-dimensional real space -- part I,” Journal of Industrial and Management Optimization, vol. 13, no. 3, pp. 1291 – 1305.
  4. Bong Nguyen, R. L. Sheu*, and Y. Xia, 2016, “An SDP approach for quadratic fractional problems with a two-sided quadratic constraint,” Optimization Methods and Software, vol. 31, no. 4, pp. 701 – 719.
  5. Y. Xia, S. Wang, and R. L. Sheu*, 2016, “S-lemma with equality and its applications,” Mathematical Programming, Series A., vol. 156, no. 1, pp. 513 – 547.
  6. Bong Nguyen, R. L. Sheu*, and Y. Xia, 2016, “Maximizing the sum of a generalized Rayleigh quotient and another Rayleigh quotient on the unit sphere via semidefinite programming,” Journal of Global Optimization, vol. 64, no. 2, pp. 399 – 416.
  7. X. Xing*, S. C. Fang, R. L. Sheu, and L. Zhang, 2015, “Canonical dual solutions to quadratic optimization over one quadratic constraint,’’ Asia-Pacific Journal of Operational Research, Vol. 32, No. 1, 1540007 (21 pages).
  8. Y. Hsia, G. X. Lin, and R. L. Sheu*, 2014, “A revisit to quadratic programming with one inequality quadratic constraint via matrix pencil,” Pacific Journal of Optimization, vol. 10, no. 3, pp. 461 - 481.
  9. J. Y. Lin*, H. J. Chen, and R. L. Sheu, 2013, “Augmented Lagrange primal-dual approach for generalized fractional programming problems,” Journal of Industrial and Management Optimization, vol. 9, no. 4, pp. 723 – 741.
  10. Y. Xia, R. L. Sheu*, X. Sun and D. Li, 2013, “Tightening a copositive relaxation for standard quadratic optimization problems,” Computational Optimization and Applications, vol. 55, pp. 379 – 398.
  11. J. M. Fen, G. X. Lin, R. L. Sheu*, and Y. Xia, 2012, “Duality and Solutions for Quadratic Programming over One Non-Homogeneous Quadratic Constraint,” Journal of Global Optimization, vol. 54, pp. 275 - 293.
  12. W. Xing*, S. C. Fang, R. L. Sheu, and Z. Wang, 2012, “A Canonical Dual Approach to Solving Linearly Constrained Quadratic Programs,” European Journal of Operational Research, vol. 218, no. 1, pp. 21– 27.
  13. Y. Xia, R. L. Sheu*, X. Sun, and D. Li, 2012, "Improved Estimation of Duality Gap in Binary Quadratic Programming Using a Weighted Distance Measure," European Journal of Operational Research, vol. 218, no. 2, pp. 351 – 357.
  14. J. Y. Lin and R. L. Sheu*, 2010, “Minimization of an isotonic function composed of fractions,” Journal of Optimization Theory and Applications, vol. 146, no 3, pp. 581 – 601.
  15. S. C. Fang*, D. Y. Gao, R. L. Sheu, and W. Xing, 2009, “Global Optimization for A Class of Fractional Programming Problems”, Journal of Global Optimization, vol. 45, no. 3, pp. 337 – 353.
  16. H. J. Chen, S. Schaible*, and R. L. Sheu, 2009, “Generic Algorithm for Generalized Fractional Programming,” Journal of Optimization Theory and Applications, vol. 141, no. 1, pp. 93 - 105.
  17. R. L. Sheu*, W. I. Wu and Ilker Birbil, 2008 “Solving the sum-of-ratios problem by stochastic search algorithm,” Journal of Global Optimization, vol. 42, no. 1, pp. 91-109.
  18. S. C. Fang, D. Y. Gao, R. L. Sheu*, and S. Y. Wu, 2008, “Canonical dual approach for solving quadratic integer programming problems”, Journal of Industrial and Management Optimization, vol. 4, no. 1, pp.125-142.
  19. J. Y. Lin, P. Manyem*, and R. L. Sheu, 2007, “Performance estimations of first fit algorithm for online bin packing with variable bin sizes and LIB constraints”, Pacific Journal of Optimization, vol. 3, no.3, pp. 511-527.
  20. R. L. Sheu*, M. J. Ting, and I. L. Wang, 2006, “Maximum flow problem in the distribution network”, Journal of Industrial and Management Optimization, vol. 2, no 3, pp. 237-254.
  21. J. Y. Lin and R. L. Sheu*, 2005, “Modified Dinkelbach-type algorithm for generalized fractional programming with infinitely many ratios”, Journal of Optimization Theory and Applications, vol. 126, no. 2, pp. 323-343.
  22. Ilker Birbil*, S. C. Fang and R.L. Sheu, 2004, “On the convergence of a population-based global optimization algorithm”, Journal of Global Optimization, vol. 30, no. 3, pp. 301 – 318.
  23. R. L. Sheu* and J. Y. Lin, 2004, “Solving continuous min-max problems by an iteratively entropic regularization method”, Journal of Optimization Theory and Applications, vol. 121, no.3, pp. 597-612.
  24. G. M. Jan, R.L. Sheu*, and S. Y. Wu, 2003, “Maximal feasibility problem for continuous linear inequalities”, Fuzzy Optimization and Decision Making, vol. 2, no. 4, pp. 297-316.
  25. R.L. Sheu*, 1999, “A generalized interior-point barrier function approach for smooth convex programming with linear constraints”, Journal of Information and Optimization Sciences, vol. 20, no. 2, pp. 187-202.
  26. R.L. Sheu* and S.Y. Wu, 1999, “Combined entropic-regularization and path-following method for solving finite convex minmax problems subject to infinitely many linear constraints”, Journal of Optimization Theory and Applications, vol. 101, pp. 167-190.
  27. J.C. Liu*, C.S. Wu, and R.L. Sheu, 1997, “Duality for fractional minimax programming”, Optimization 41, 117-133.
  28. J.C. Liu*, C.C. Lin and R.L. Sheu, 1997, “Optimality and duality for complex nondifferentiable fractional programming”, Journal of Mathematical Analysis and Applications, vol. 210, no. 2, pp. 804-824.
  29. Sheu, R.L.*, Wu, S.Y., and Fang, S.C., 1995, “A primal-dual infeasible-interior-point algorithm for linear semi-infinite programming,” Computers and Mathematics with Applications, vol. 29, no.8, pp. 7-18.
  30. Sheu, R.L.* and Fang, S.C., 1994, “On the generalized path-following methods for linear programming,” Optimization 30, 235-249.
  31. Sheu, R.L.* and Fang, S.C., 1993, “On the relationship of interior-point methods,” Internat. J. Math. & Math. Sci. vol. 16 no. 3, pp. 565-572.
  32. Sheu, R.L. and Fang, S.C.*, 1992, “Insights into the interior point methods,” ZOR 36, 227-257.

碩士班指導學生
畢業年度姓名
103阮文蓬 (博士)、曾珮瑜
102呂庭維、翁之翊
100黎福全、黃萱華
99林剛玄
98陳慧如(博士)、馮若梅、
李依貞
97朱書賢、陳銚壬
96林詩珊
94林仁彥(博士)、林威溢、
吳文祥
93陳慧如、丁睦容、吳韋瑩
91李政霖
90吳昭寰
89林仁彥
88林士正
87黃玉麟
86蘇麗鳳、廖淑惠
85李曉玲
83何盈芬

 

    

 



專任教師

林景隆 教授
李國明 教授
沈士育 教授
林 牛 教授
洪英志 教授
柯文峰 教授
夏 杼 教授
陳若淳 教授
粘珠鳳 教授
許瑞麟 教授
黃世昌 教授
黃郁芬 教授
王辰樹 副教授
方永富 副教授
江孟蓉 副教授
吳恭儉 副教授
林育竹 副教授
林敏雄 副教授
侯世章 副教授
連文璟 副教授
郭鴻文 副教授
章源慶 副教授
陳旻宏 副教授
舒宇宸 副教授
黃柏嶧 副教授
鄺國權 副教授
蕭仁傑 副教授
王業凱 助理教授
史習偉 助理教授
楊世偉 助理教授
劉之中 助理教授
劉育佑 助理教授
劉聚仁 助理教授
劉珈銘 助理教授
賴青瑞 助理教授
關汝琳 助理教授

   
 


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電話︰(06) 2757575 轉 65100   傳真︰(06) 2743191
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