Dr. Phan Thien Thach

Scientific Publications

Publications18

1. 1 Phan Thien Thach, Symmetric Duality for Homogeneous Multiple-Objective Problems, Journal of Optimization Theory and Applications, 188 (2021), pages 317–331, (2021)
2. 2 Phan Thien Thach, Tran Van Thang, Problems with resource allocation constraints and optimization over the efficient set, Journal of Global Optimization, 58(2014), 481-495 (2014)
3. 3 Phan Thien Thach, Tran Van Thang, Conjugate duality for vector-maximization problems, Journal of Mathematical Analysis and Applications 376 (2011), 94 - 102 (2011)
4. 4 Phan Thien Thach, Duality equation and efficiency conditions in a vector optimization problem, Vietnam Journal of Mathematics 38 (2010), 1 -- 8 (2010)
5. 5 Phan Thien Thach, 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 Thien Thach, 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 Thien Thach, Convexification by duality for a multiple Leontief technology production design problem, Vietnam J. Math. 35 (2007), 299 - 308 (2007)
8. 8 Hoang Tuy, Faiz Al-Khayyal, Phan Thien Thach, 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 Thien Thach, 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 Thien Thach, Hoang Tuy, Hiroshi Konno, Optimization of polynomial fractional functions, Journal of Global Optimization, 29 (2004), 19 - 44. (2004)
11. 11 Phan Thien Thach, 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 Thien Thach, 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 Thien Thach, Hoang Tuy, Optimization on low rank nonconvex structures. Nonconvex Optimization and its Applications, 15., Kluwer Academic Publishers, Dordrecht, 1997. xii+457 pp. (1997)
14. 14 Phan Thien Thach, 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 Thien Thach, 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 Thien Thach, 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 Thien Thach, Masakazu Kojima, A generalized convexity and variational inequality for quasi-convex minimization, SIAM Journal on Optimization, 6 (1996), 212 - 226 (1996)
18. 18 Phan Thien Thach, Diewert-Crouzeix conjugation for general quasiconvex duality and applications, Journal of Optimization Theory and Applications, 86 (1995), 719 - 743. (1995)