Generating Efficient Outcome Points for Convex Multiobjective Programming Problems and Its Application to Convex Multiplicative Programming [PDF]
Journal of Applied Mathematics, 2011 Convex multiobjective programming problems and multiplicative programming problems have important applications in areas such as finance, economics, bond portfolio optimization, engineering, and other fields. This paper presents a quite easy algorithm for
Le Quang Thuy +2 more
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\(E\)-Convex programming [PDF]
Journal of Numerical Analysis and Approximation Theory, 2004 In [6] one shows that some of the results obtained in [5] on \(E\)-convex programming are incorrect. In this paper we recover these results in the new hypotheses.
Liana Lupşa, Dorel Duca
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Disciplined Geodesically Convex Programming [PDF]
CoRRConvex programming plays a fundamental role in machine learning, data science, and engineering. Testing convexity structure in nonlinear programs relies on verifying the convexity of objectives and constraints. Grant et al. (2006) introduced a framework, Disciplined Convex Programming (DCP), for automating this verification task for a wide range of ...
Andrew Cheng +2 more
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Non-convex mixed-integer nonlinear programming : a survey [PDF]
, 2012 A wide range of problems arising in practical applications can be formulated as Mixed-Integer Nonlinear Programs (MINLPs). For the case in which the objective and constraint functions are convex, some quite effective exact and heuristic algorithms are ...
Burer, S, Letchford, Adam
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Reformulations of mathematical programming problems as linear complementarity problems [PDF]
, 1982 A family of complementarity problems are defined as extensions of the well known Linear Complementarity Problem (LCP). These are (i.) Second Linear Complementarity Problem (SLCP) which is an LCP extended by introducing further equality restrictions and ...
Mitra, G, Judice, JJ
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LINEAR PROGRAMMING APPLIED TO A CONVEX PROGRAMMING TYPE
Pesquimat, 2014 In the present’s paper studying a strategy for a typo of convex problem, we treat a linear programming problem whose coefficient of decision variables in the objective function has a nonlinear behavior.
Edinson Raúl Montoro Alegre +3 more
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Componentwise Fractional Programming with Application to Resource Allocation [PDF]
Modeling, Identification and Control, 1983 A fractional programming problem is considered of the maximization of the ratio of a concave and a convex function, with each variable occurring in a single convex component constraint.
Kåre M. Mjelde
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Global Optimization for the Sum of Concave-Convex Ratios Problem
Journal of Applied Mathematics, 2014 This paper presents a branch and bound algorithm for globally solving the sum of concave-convex ratios problem (P) over a compact convex set. Firstly, the problem (P) is converted to an equivalent problem (P1).
XueGang Zhou, JiHui Yang
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A Multi-Step Inertial Proximal Peaceman-Rachford Splitting Method for Separable Convex Programming
IEEE Access, 2023 In this paper, we propose a multi-step inertial proximal Peaceman-Rachford splitting method (abbreviated as MIP-PRSM) for solving the two-block separable convex optimization problems with linear constraints, which is a unified framework for such Peaceman-
Hongyan Li, Dongmei Yu, Leifu Gao
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The Complexity Boundary of Answer Set Programming with Generalized Atoms under the FLP Semantics [PDF]
, 2013 In recent years, Answer Set Programming (ASP), logic programming under the stable model or answer set semantics, has seen several extensions by generalizing the notion of an atom in these programs: be it aggregate atoms, HEX atoms, generalized ...
Alviano, Mario +3 more
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