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Fractional programming : a recent survey
Journal of Statistics and Management Systems, 2002Summary: Recent developments in fractional programming are reviewed. We consider single-ratio as well as multi-ratio fractional programs. In the latter case we focus on the maximization of the smallest of several ratios, the maximization of a sum of ratios and multi-objective fractional programs.
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Fractional Programming Applications
1997The applications of linear programming to various branches of human activity, and especially to economics, are well known. The applications of fractional programming are less known, and, until now, less numerous. Of course, the linearity of a problem makes it easier to tackle, and hence contributes to its wide recognition.
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Nonlinear Fractional Programming
1997In this chapter we deal with the following nonlinear fractional programming problem: $$P:\mathop{{\max }}\limits_{{x \in s}} q(x) = (f(x) + \alpha )/((x) + \beta )$$ where f, g: R n → R, α, β ∈ R, S ⊆ R n . To simplify things, and without restricting the generality of the problem, it is usually assumed that, g(x) + β + 0 for all x ∈ S,S is non ...
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Linear Fractional and Bicriteria Linear Fractional Programs
1990In this paper we will restate the sequential methods suggested by the Authors [8] for solving a linear fractional problem for any feasible region using the concept of optimal level solutions.
CAMBINI A., MARTEIN, LAURA
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Generalized Fractional Programming
1998In the previous chapter we considered some location models with a ratio as objective function. This discussion showed the importance of having a good knowledge of fractional programming when solving a fractional location model. As we shall see in Section 4.1.2 there exist also models in location analysis which are actually generalized fractional ...
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Fractional Chern insulators in magic-angle twisted bilayer graphene
Nature, 2021Yonglong Xie +2 more
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Signatures of fractional quantum anomalous Hall states in twisted MoTe2
Nature, 2023, Eric Anderson, Chong Wang
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Thermodynamic evidence of fractional Chern insulator in moiré MoTe2
Nature, 2023, Patrick Knüppel, Kenji Watanabe
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Observation of fractional edge excitations in nanographene spin chains
Nature, 2021Shantanu Mishra +2 more
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