Phan Thiên Thạch


TS. NCV

Phòng Tối ưu và điều khiển
Hướng nghiên cứu: Quy hoạch toán, vận trù học, khoa học quản lý


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Phòng làm việc: 210, Nhà A5
Điện thoại: +84 (0)4 37563474 /210
Email: ptthachATmath.ac.vn

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DANH SÁCH CÔNG TRÌNH

Danh sách trong Mathscinet

 

Danh sách gần đây
1Phan Thiên Thạch, T. V. Thang, Problems with resource allocation constraints and optimization over the efficient set, Journal of Global Optimization, 58(2014), 481-495.
2Phan Thiên Thạch, T. V. Thang, Conjugate duality for vector-maximization problems,  Journal of Mathematical Analysis and Applications  376 (2011), 94 - 102.
3Phan Thiên Thạch, Duality equation and efficiency conditions in a vector optimization problem, Vietnam J. Math, 38 (2010), 1 -- 8.
4Phan Thiên Thạch, Quasi-convex duality for a mixed 0-1 variable problem and applications in production planning with set up costs, Acta Math. Vietnamica, 34 (2009), 245-256.
5Phan Thiên Thạch, Sensitivity analysis of an upper-linear-return consciously co-operative economy of a firm, Vietnam J. Math. 36 (2008),  337 - 352.
6Phan Thiên Thạch, Convexification by duality for a multiple Leontief technology production design problem, Vietnam J. Math. 35 (2007), 299 - 308.
7Hoàng Tụy, Al-Khayyal Faiz, 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.
8Phan Thiên Thạch, Equilibrium prices and quasiconvex duality. In: Generalized convexity, generalized monotonicity and applications, 341 - 350, Nonconvex Optim. Appl. 77, Springer, New York, 2005.
9Hoàng Tụy, Phan Thiên Thạch, Hiroshi Konno, Optimization of polynomial fractional functions. J. Global Optim. 29 (2004), 19 - 44.
10Phan Thiên Thạch, Dual preference in Leontief production problem and its extension, Vietnam J. Math. 32 (2004), 209 - 218.
11Rainer 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. J. Global Optim. 19 (2001), 121 - 139.
12H. 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.
13Phan Thiên Thạch, Hiroshi Konno, On the degree and separability of nonconvexity and appl-ications to optimization problems. Math. Programming 77 (1997), 23 - 47.
14Phan Thiên Thạch, 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.
15Phan Thiên Thạch, H. Konno, D. Yokota, Dual approach to minimization on the set of Pareto-optimal solutions. J. Optim. Theory Appl. 88 (1996), 689 - 707.
16Phan Thiên Thạch, Masakazu Kojima, A generalized convexity and variational inequality for quasi-convex minimization. SIAM J. Optim. 6 (1996), 212 - 226.
17Phan Thiên Thạch, Diewert-Crouzeix conjugation for general quasiconvex duality and applications. J. Optim. Theory Appl. 86 (1995), 719 - 743.
18Phan Thiên Thạch, Global optimality criterion and a duality with a zero gap in nonconvex optimization. SIAM J. Math. Anal. 24 (1993), 1537 - 1556.
19Phan Thiên Thạch, Hiroshi Konno, A generalized Dantzig-Wolfe decomposition principle for a class of nonconvex programming problems. Math. Programming 62 (1993), 239 - 260.
20Phan Thiên Thạch, A generalized duality and applications. J. Global Optim. 3 (1993), 311 - 324.
21Phan Thiên Thạch, D.C. sets, D.C. functions and nonlinear equations. Math. Programming 58 (1993), 415 - 428.
22Phan Thiên Thạch, A decomposition method using a pricing mechanism for min concave cost flow problems with a hierarchical structure. Math. Programming 53 (1992), 339 - 359.
23Phan Thiên Thạch, New partitioning method for a class of nonconvex optimization problems. Math. Oper. Research 17 (1992), 43 - 60.
24Phan Thiên Thạch, R. E. Burkard, W. Oettli, Mathematical programs with a two-dimen-sional reverse convex constraint. J. Global Optim. 1 (1991), 145 - 154.
25 Tanaka Takao, Phan Thiên Thạch, 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.
26Phan Thiên Thạch, 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.
27Phan Thiên Thạch, Convex minimization under Lipschitz constraints. J. Optimi. Theory Appl. 64 (1990), 595 - 614.
28Phan Thiên Thạch, Hoàng Tụy, The relief indicator method for constrained global optimization. Naval Research Logistics 37 (1990), 473 - 497.
29Phan Thiên Thạch, A decomposition method for the min concave cost flow problem with a staircase structure. Japan J. Appl. Math. 7 (1990), 103 - 120.
30Phan Thiên Thạch, Hoàng Tụy, Parametric approach to a class of nonconvex global optimization problems. Optimization 19 (1988), 3 - 11.
31Phan Thiên Thạch, Hoàng Tụy, Parametric approach to a class of nonconvex global optimization problems. Optimization 19 (1987), 3 - 11.
32Phan Thiên Thạch, Hoàng Tụy, Global optimization under Lipshitzian constraints. Japan J. Appl. Math. 4 (1987), 205 - 217.
33Phan Thiên Thạch, Convex programs with several additional reverse convex constraints. Acta Math. Vietnam. 10 (1985), 35 - 57.