Phan Thien Thach
Doctor
Department of Optimization and Control Theory

Address
Office: Building A5, Room 210
Tel: +84 (0)4 37563474 /210
Email: ptthachATmath.ac.vn
Education
Professional Experiances
PUBLICATIONS
List Publications in MathSciNet
List of recent publications
1  Phan Thien Thach, T. V. Thang, Problems with resource allocation constraints and optimization over the efficient set, Journal of Global Optimization, 58(2014), 481495, SCI(E); Scopus. 
2  Phan Thien Thach, T. V. Thang, Conjugate duality for vectormaximization problems, Journal of Mathematical Analysis and Applications 376 (2011), 94  102, SCI(E); Scopus. 
3  Phan Thien Thach, Duality equation and efficiency conditions in a vector optimization problem, Vietnam Journal of Mathematics 38 (2010), 1  8, Scopus. 
4  Phan Thien Thach, Quasiconvex duality for a mixed 01 variable problem and applications in production planning with set up costs, Acta Math. Vietnamica, 34 (2009), 245256. 
5  Phan Thien Thach, Sensitivity analysis of an upperlinearreturn consciously cooperative economy of a firm, Vietnam J. Math. 36 (2008), 337  352. 
6  Phan Thien Thach, Convexification by duality for a multiple Leontief technology production design problem, Vietnam J. Math. 35 (2007), 299  308. 
7  Hoang Tuy, Phan Thien Thach, AlKhayyal Faiz, Monotonic optimization: branch and cut methods. Essays and surveys in global optimization, 39–78, GERAD 25th Anniv. Ser., 7, Springer, New York, 2005. 
8  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. 
9  Hoang Tuy, Phan Thien Thach, Hiroshi Konno, Optimization of polynomial fractional functions. J. Global Optim. 29 (2004), 19  44. 
10  Phan Thien Thach, Dual preference in Leontief production problem and its extension, Vietnam J. Math. 32 (2004), 209  218. 
11  Rainer E. Burkard, Helidon Dollani, Phan Thien Thach, Linear approximations in a dynamic programming approach for the uncapacitated singlesource minimum concave cost network flow problem in acyclic networks. J. Global Optim. 19 (2001), 121  139. 
12  H. 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. 
13  Phan Thien Thach, Hiroshi Konno, On the degree and separability of nonconvexity and applications to optimization problems. Math. Programming 77 (1997), 23  47. 
14  Phan Thien Thach, H. Konno, D.C. Representability of closed sets in reflexive Banach spaces and applications to optimization problems. J. Optim. Theory Appl. 91 (1996), 1  22. 
15  Phan Thien Thach, H. Konno, D. Yokota, Dual approach to minimization on the set of Paretooptimal solutions. J. Optim. Theory Appl. 88 (1996), 689  707. 
16  Phan Thien Thach, Masakazu Kojima, A generalized convexity and variational inequality for quasiconvex minimization. SIAM J. Optim. 6 (1996), 212  226. 
17  Phan Thien Thach, DiewertCrouzeix conjugation for general quasiconvex duality and applications. J. Optim. Theory Appl. 86 (1995), 719  743. 
18  Phan Thien Thach, Global optimality criterion and a duality with a zero gap in nonconvex optimization. SIAM J. Math. Anal. 24 (1993), 1537  1556. 
19  Phan Thien Thach, Hiroshi Konno, A generalized DantzigWolfe decomposition principle for a class of nonconvex programming problems. Math. Programming 62 (1993), 239  260. 
20  Phan Thien Thach, A generalized duality and applications. J. Global Optim. 3 (1993), 311  324. 
21  Phan Thien Thach, D.C. sets, D.C. functions and nonlinear equations. Math. Programming 58 (1993), 415  428. 
22  Phan Thien Thach, A decomposition method using a pricing mechanism for min concave cost flow problems with a hierarchical structure. Math. Programming 53 (1992), 339  359. 
23  Phan Thien Thach, New partitioning method for a class of nonconvex optimization problems. Math. Oper. Research 17 (1992), 43  60. 
24  Phan Thien Thach, R. E. Burkard, W. Oettli, Mathematical programs with a twodimensional reverse convex constraint. J. Global Optim. 1 (1991), 145  154. 
25  Tanaka Takao, Phan Thien Thach, Suzuki Shigemichi, Two nonconvex minimization approaches for the problem of determining an economic ordering policy for jointly replenished items. J. Operations Research Society of Japan 34 (1991), 109  124. 
26  Phan Thien Thach, Quasiconjugates of functions, duality relationship between quasiconvex minimization under a reverse convex constraint and quasiconvex maximization under a convex constraint, and applications. J. Math. Anal. Appl. 159 (1991), 299  322. 
27  Phan Thien Thach, Convex minimization under Lipschitz constraints. J. Optimi. Theory Appl. 64 (1990), 595  614. 
28  Phan Thien Thach, Hoang Tuy, The relief indicator method for constrained global optimization. Naval Research Logistics 37 (1990), 473  497. 
29  Phan Thien Thach, A decomposition method for the min concave cost flow problem with a staircase structure. Japan J. Appl. Math. 7 (1990), 103  120. 
30  Hoang Tuy, Phan Thien Thach, Parametric approach to a class of nonconvex global optimization problems. Optimization 19 (1988), 3  11. 
31  Hoang Tuy, Phan Thien Thach, Parametric approach to a class of nonconvex global optimization problems. Optimization 19 (1987), 3  11. 
32  Hoang Tuy, Phan Thien Thach, Global optimization under Lipshitzian constraints. Japan J. Appl. Math. 4 (1987), 205  217. 
33  Phan Thien Thach, Convex programs with several additional reverse convex constraints. Acta Math. Vietnam. 10 (1985), 35  57. 