Search Results - Reverse Convex Programming Problem
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Optimality conditions for DC programming problems with reverse convex constraints
ISSN: 0362-546X, 1873-5215Published: Elsevier Ltd 01.03.2013Published in Nonlinear analysis (01.03.2013)“…In this paper, we give necessary and sufficient optimality conditions for DC programming problems with reverse convex constraints defined by a finite family of pseudoconvex functions…”
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A nonisolated optimal solution for special reverse convex programming problems
ISSN: 0377-0427, 1879-1778Published: Kidlington Elsevier B.V 01.02.2009Published in Journal of computational and applied mathematics (01.02.2009)“…In this paper, an efficient algorithm is proposed for globally solving special reverse convex programming problems with more than one reverse convex constraints…”
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Feasible partition problem in reverse convex and convex mixed-integer programming
ISSN: 0377-2217, 1872-6860Published: Amsterdam Elsevier B.V 16.05.2014Published in European journal of operational research (16.05.2014)“…•We study the consistent partition problem in reverse convex and convex mixed-integer programming…”
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Generalized Semi-Infinite Programming: Optimality Conditions Involving Reverse Convex Problems
ISSN: 0163-0563, 1532-2467Published: Taylor & Francis Group 03.07.2014Published in Numerical functional analysis and optimization (03.07.2014)“…This article deals with a generalized semi-infinite programming problem (S). Under appropriate assumptions, for such a problem we give necessary and sufficient optimality conditions via reverse convex problems…”
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Inner Approximation Method for a Reverse Convex Programming Problem
ISSN: 0022-3239, 1573-2878Published: New York, NY Springer 01.11.2000Published in Journal of optimization theory and applications (01.11.2000)“…In this paper, we consider a reverse convex programming problem constrained by a convex set and a reverse convex set, which is defined by the complement of the interior of a compact convex set X…”
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An inner approximation method incorporating with a penalty function method for a reverse convex programming problem
ISSN: 0377-0427, 1879-1778Published: Amsterdam Elsevier B.V 01.09.2002Published in Journal of computational and applied mathematics (01.09.2002)“…In this paper, we consider a reverse convex programming problem constrained by a convex set and a reverse convex set which is defined by the complement of the interior of a compact convex set X…”
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Journal Article Conference Proceeding -
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An inner approximation method for a reverse convex programming problem
ISBN: 9780780357310, 0780357310ISSN: 1062-922XPublished: IEEE 20.01.2003Published in IEEE SMC'99 Conference Proceedings. 1999 IEEE International Conference on Systems, Man, and Cybernetics (Cat. No.99CH37028) (20.01.2003)“…In this paper, we consider a reverse convex programming problem constrained by a convex set and a reverse convex set which is defined by the complement of the interior of a compact convex set X…”
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Conference Proceeding -
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Some procedures for solving special max-min fractional rank-two reverse-convex programming problems
ISSN: 2457-6794, 2501-059XPublished: Publishing House of the Romanian Academy 01.08.2004Published in Journal of numerical analysis and approximation theory (01.08.2004)“… We show that a special bilinear fractional max-min reverse-convex program can be solved by a linear reverse-convex programming problem…”
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Some procedures for solving special max-min fractional rank-two reverse-convex programming problems
ISSN: 2457-6794, 2501-059XPublished: Publishing House of the Romanian Academy 01.08.2004Published in Journal of numerical analysis and approximation theory (01.08.2004)“… We show that a special bilinear fractional max-min reverse-convex program can be solved by a linear reverse-convex programming problem…”
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An inner approximation method incorporating with a penalty function method for a reverse convex programming problem
ISSN: 0377-0427Published: Elsevier BV 01.09.2002Published in Journal of Computational and Applied Mathematics (01.09.2002)Get full text
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Extended reverse-convex programming: an approximate enumeration approach to global optimization
ISSN: 0925-5001, 1573-2916Published: New York Springer US 01.06.2016Published in Journal of global optimization (01.06.2016)“… Unlike the traditional strategy of partitioning the decision-variable space employed in many branch-and-bound methods, the proposed approach approximates the NLP problem by a reverse-convex programming (RCP…”
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A Cutting Plane Algorithm for Linear Reverse Convex Programs
ISSN: 0254-5330, 1572-9338Published: New York Springer Nature B.V 01.07.2001Published in Annals of operations research (01.07.2001)“… The main difficulty with this type of problem is the presence of the complicated reverse convex constraint, which destroys the convexity and possibly the connectivity of the feasible region, putting…”
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On Optimization over the Efficient Set in Linear Multicriteria Programming
ISSN: 0022-3239, 1573-2878Published: New York, NY Springer Verlag 01.09.2007Published in Journal of optimization theory and applications (01.09.2007)“…\nby a reverse convex constraint of the form g(z) ≤ 0, where g is a concave\nfunction. Consequently, the problem of optimizing some real function over the efficient…”
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Duality and optimality conditions for reverse convex programs via a convex decomposition
ISSN: 0009-725X, 1973-4409Published: Cham Springer International Publishing 01.12.2023Published in Rendiconti del Circolo matematico di Palermo (01.12.2023)“…In this paper via the so-called Fenchel–Lagrange duality, we provide necessary local optimality conditions for a reverse convex programming problem ( P…”
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Convexification and Concavification for a General Class of Global Optimization Problems
ISSN: 0925-5001, 1573-2916Published: Dordrecht Springer Nature B.V 01.01.2005Published in Journal of global optimization (01.01.2005)“… It is shown that these minimization problems can be transformed into equivalent concave minimization problem or reverse convex programming problem or canonical DC programming problem by using…”
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A deterministic global optimization algorithm for generalized geometric programming
ISSN: 0096-3003, 1873-5649Published: New York, NY Elsevier Inc 01.09.2005Published in Applied mathematics and computation (01.09.2005)“…). By utilizing some transformations, the initial non-convex problem is reduced to a reverse convex programming (RCP…”
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Optimal Relay Placement in Magnetic Induction-Based Internet of Underwater Things
ISSN: 1530-437X, 1558-1748Published: New York IEEE 01.01.2021Published in IEEE sensors journal (01.01.2021)“… First, we formulate the relay placement problem as a non-convex optimization problem. Then, we propose a global optimization technique based on Reverse Convex Programming (RCP…”
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Optimality Conditions for D.C. Vector Optimization Problems Under Reverse Convex Constraints
ISSN: 0925-5001, 1573-2916Published: Dordrecht Springer Nature B.V 01.12.2005Published in Journal of global optimization (01.12.2005)“… vector optimization problems under reverse convex constraints. An application to vector fractional mathematical programming is also given…”
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Reverse Convex Programming Approach in the Space of Extreme Criteria for Optimization over Efficient Sets
ISSN: 0022-3239, 1573-2878Published: Boston Springer US 01.11.2010Published in Journal of optimization theory and applications (01.11.2010)“… ‘reverse convex program’. This is a typical problem in global optimization, in which local optima are in general different from global optima…”
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A Global Optimization Approach for Solving Generalized Nonlinear Multiplicative Programming Problem
ISSN: 1085-3375, 1687-0409Published: Cairo, Egypt Hindawi Limiteds 01.01.2014Published in Abstract and Applied Analysis (01.01.2014)“…) with a nonconvex constraint set. The algorithm uses a branch and bound scheme based on an equivalently reverse convex programming problem…”
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