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Algorithmic Equivalence in Linear Fractional Programming
This paper demonstrates the equivalence of several published algorithms for solving the so-called linear fractional programming problem.
Harvey M. Wagner, John S. C. Yuan
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A note on ‘bilevel linear fractional programming problem’
European Journal of Operational Research, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Herminia I Calvete, Carmen Gale
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A new linearization technique for minimax linear fractional programming
International Journal of Computer Mathematics, 2014This paper presents a deterministic global optimization algorithm for solving minimax linear fractional programming (MLFP). In this algorithm, a new linearization technique is proposed, which uses more information of the objective function of the (MLFP) than other techniques.
Hongwei Jiao, Sanyang Liu
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A Linearization to the Multi-objective Linear Plus Linear Fractional Program
Operations Research Forum, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mojtaba Borza +2 more
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Linear fractional programming and duality
Central European Journal of Operations Research, 2007This paper presents a dual of a general linear fractional functionals programming problem. Dual is shown to be a linear programming problem. Along with other duality theorems, complementary slackness theorem is also proved. A simple numerical example illustrates the result.
S. S. Chadha, Veena Chadha
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Linear Programming with a Fractional Objective Function
Operations Research, 1973This paper presents an algorithm, based on the simplex routine, that provides a way to solve a problem in which the objective function is not linear, but rather is represented by a ratio of two linear functions. This algorithm has a computational advantage over two previous ones because it requires neither variable transformations nor the introduction
Gabriel R. Bitran, A. G. Novaes
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The bilevel linear/linear fractional programming problem
European Journal of Operational Research, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Herminia I. Calvete, Carmen Galé
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Partial linearization for generalized fractional programming
Zeitschrift für Operations Research, 1988The authors consider the following generalized fractional program: \[ (P)\quad_{x\in X}\{_{1\leq i\leq p}\{\frac{f_ i(x)}{g_ i(x)}\}\}, \] where \(X\subset R^ n\) is nonempty, \(f_ i\), \(g_ i\) are real continuous functions on an open set \(\Omega \subset R^ n\) including the closure of X, and \(g_ i\) are positive on \(\Omega\).
Youssef Benadada, Jacques A. Ferland
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Connectedness in Multiple Linear Fractional Programming
Management Science, 1983The geometric properties of the sets of efficient and weakly efficient solutions of multiple linear fractional programming problems are investigated. Weakly efficient solutions are path-connected by finitely many linear line segments when the constrained region is compact.
E. U. Choo, D. R. Atkins
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Taylor series approach to fuzzy multiobjective linear fractional programming
This paper presents the use of a Taylor series for fuzzy multiobjective linear fractional programming problems (FMOLFP). The Taylor series is a series expansion that a representation of a function.
Toksari, Mehmet Duran
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