Phan Thien Thach

Scientific Publications

Publications

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)