Jointly constrained bilinear programs and related problems: An overview

Faiz Al‐Khayyal

Type: Article

Publication Date: 1990-01-01

Citations: 109

DOI: https://doi.org/10.1016/0898-1221(90)90148-d

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Locations

Computers & Mathematics with Applications - View

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Works That Cite This (62)

Action	Title	Year	Authors
+	None	2002	Jack Brimberg Pierre Hansen Nenad Mladenović
+	An efficient approach for solving mixed-integer programming problems under the monotonic condition	2016	Mikhail A. Bragin Peter B. Luh Joseph H. Yan Gary A. Stern
+	Generalized bilinear programming: Part I. Models, applications and linear programming relaxation	1992	Faiz Al‐Khayyal
+	Duality Bound Method for the General Quadratic Programming Problem with Quadratic Constraints	2000	Nguyen‐Van Thoai
+	A new Lagrangian dual global optimization algorithm for solving bilinear matrix inequalities	1999	Do Hong Tuan Pierre Apkarian Yuiko Nakashima
+	Accelerating convergence of cutting plane algorithms for disjoint bilinear programming	2006	Xiaosong Ding Faiz Al‐Khayyal
+	Global optimization of a quadratic function subject to a bounded mixed integer consraint set	1990	Faiz Al‐Khayyal Christian Larsen
+	A new reformulation-linearization technique for bilinear programming problems	1992	Hanif D. Sherali Amine Alameddine
+	Convex Envelopes in Optimization Problems	2001	Yasutoshi Yajima
+	On the global solution of multi-parametric mixed integer linear programming problems	2012	Martina Wittmann‐Hohlbein Efstratios N. Pistikopoulos

Works Cited by This (25)

Action	Title	Year	Authors
+	Linear, quadratic, and bilinear programming approaches to the linear complementarity problem	1986	Faiz Al‐Khayyal
+	Global Optimization Approach to the Linear Complementarity Problem	1988	Pãnos M. Pardalos J. B. Rosen
+	Lagrange Multipliers and Nonconvex Programs	1969	James E. Falk
+	Global minimization of indefinite quadratic problems	1987	Pãnos M. Pardalos John Glick J. B. Rosen
+	The Indefinite Quadratic Programming Problem	1979	Paul F. Kough
+	Complementary pivot theory of mathematical programming	1968	Richard W. Cottle George B. Dantzig
+	An Algorithm for Global Minimization of Linearly Constrained Concave Quadratic Functions	1987	Bahman Kalantari J. B. Rosen
+	A finitely convergent algorithm for bilinear programming problems using polar cuts and disjunctive face cuts	1980	Hanif D. Sherali C. M. Shetty
+	On the minimization of quadratic functions with bilinear constraints via augmented Lagrangians	1987	L. Carotenuto Giancarlo Raiconi
+	A variable dimension algorithm for the linear complementarity problem	1980	Ludo Van der Heyden