Phan Thiên Thạch

Các công bố khoa học

Ấn phẩm

1. 1. Phan Thiên Thạch, Symmetric Duality for Homogeneous Multiple-Objective Problems, Journal of Optimization Theory and Applications, 188 (2021), pages 317–331, (2021)
2. 2. Phan Thiên Thạch, Trần Văn Thắng, Problems with resource allocation constraints and optimization over the efficient set, Journal of Global Optimization, 58(2014), 481-495 (2014)
3. 3. Phan Thiên Thạch, Trần Văn Thắng, Conjugate duality for vector-maximization problems, Journal of Mathematical Analysis and Applications 376 (2011), 94 - 102 (2011)
4. 4. Phan Thiên Thạch, Duality equation and efficiency conditions in a vector optimization problem, Vietnam Journal of Mathematics 38 (2010), 1 -- 8 (2010)
5. 5. Phan Thiên Thạch, Quasi-convex duality for a mixed 0-1 variable problem and applications in production planning with set up costs, Acta Mathematica Vietnamica, 34 (2009), 245-256. (2009)
6. 6. Phan Thiên Thạch, Sensitivity analysis of an upper-linear-return consciously co-operative economy of a firm, Vietnam J. Math. 36 (2008), 337 - 352 (2008)
7. 7. Phan Thiên Thạch, Convexification by duality for a multiple Leontief technology production design problem, Vietnam J. Math. 35 (2007), 299 - 308 (2007)
8. 8. Hoàng Tụy, Faiz Al-Khayyal, Phan Thiên Thạch, Monotonic optimization: branch and cut methods, Essays and surveys in global optimization, 39–78, GERAD 25th Anniv. Ser., 7, Springer, New York, 2005. (2005)
9. 9. Phan Thiên Thạch, Equilibrium prices and quasiconvex duality, In: Generalized convexity, generalized monotonicity and applications, 341 - 350, Nonconvex Optim. Appl. 77, Springer, New York, 2005. (2005)
10. 10. Phan Thiên Thạch, Hoàng Tụy, Hiroshi Konno, Optimization of polynomial fractional functions, Journal of Global Optimization, 29 (2004), 19 - 44. (2004)
11. 11. Phan Thiên Thạch, Dual preference in Leontief production problem and its extension, Vietnam Journal of Mathematics, 32 (2004), 209 - 218. (2004)
12. 12. Rainer E. Burkard, Helidon Dollani, Phan Thiên Thạch, Linear approximations in a dynamic programming approach for the uncapacitated single-source minimum concave cost network flow problem in acyclic networks, Journal of Global Optimization, 19 (2001), 121 - 139. (2001)
13. 13. Hiroshi Konno, Phan Thiên Thạch, Hoàng Tụy, Optimization on low rank nonconvex structures. Nonconvex Optimization and its Applications, 15., Kluwer Academic Publishers, Dordrecht, 1997. xii+457 pp. (1997)
14. 14. Phan Thiên Thạch, Hiroshi Konno, On the degree and separability of nonconvexity and appl-ications to optimization problems, Mathematical Programming, 77 (1997), 23 - 47. (1997)
15. 15. Phan Thiên Thạch, Hiroshi Konno, D.C. Representability of closed sets in reflexive Banach spaces and applications to optimization problems, Journal of Optimization Theory and Applications, 91 (1996), 1 - 22. (1996)
16. 16. Phan Thiên Thạch, Hiroshi Konno, D. Yokota, Dual approach to minimization on the set of Pareto-optimal solutions, Journal of Optimization Theory and Applications, 88 (1996), 689 - 707. (1996)
17. 17. Phan Thiên Thạch, Masakazu Kojima, A generalized convexity and variational inequality for quasi-convex minimization, SIAM Journal on Optimization, 6 (1996), 212 - 226 (1996)
18. 18. Phan Thiên Thạch, Diewert-Crouzeix conjugation for general quasiconvex duality and applications, Journal of Optimization Theory and Applications, 86 (1995), 719 - 743. (1995)