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On the Bilevel Integer Linear Fractional Programming Problem
OPSEARCH, 2001The bilevel programming problem is a leader follower game in which two players try to maximize their own objective function over a common feasible region. In this paper we consider the bilevel programming problem in which both the objective functions are linear fractional and the variables take non-negative integral values.
Alemayehu, Getinet, Arora, S. R.
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A Decomposition Method for Interval Linear Fractional Programming
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1976AbstractThe aim of the paper is to obtain a decomposition principle for maximizing a ratio of two linear functions subject to constraints in the ‘interval programming’ form. At each step of the method, two or more linear interval programming problems are to be solved, the optimal solutions of which are written explicitely with the help of Ben‐Israel ‘s
Lata, Manju, Mittal, B. S.
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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.
Calvete, Herminia I., Galé, Carmen
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An Algorithm for Linear Fractional Functionals Programming Problems
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1977AbstractIn this paper an algorithm is given for solving linear fractional functionals programming problems. This method permits to replace in each iteration several basic variables by an equal number of non‐basic ones so as to obtain a new basic feasible solution with the new value of the objective function which is, at least, as good as the old one ...
Rani, Oma, Shivpuri, Saroj
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On parametric linear fractional functionals programming
Trabajos de estadistica y de investigacion operativa, 1972This paper deals with the behaviour of optimal solutions to a linear fractional programming problem when the coefficients of the objective function are allowed to vary.
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Special Linear Fractional Programming Problems
1997In this chapter, we consider several special problems which appear in linear fractional programming. Thus, in Section 8.1, we consider a problem of linear fractional programming in which the variables of the objective function appear in absolute-value, and the constraints lack the condition for non-negativity. We show that, under certain conditions, it
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Constrained integer linear fractional programming problem
Optimization, 1990An integer linear fractional programming problem, whose integer solution is required to satisfy any h out of given n sets of constraints has been discussed in this paper. Method for ranking and scanning all integer points has also been developed and a numerical illustration is included in support of theory.
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Interval linear fractional programming: optimal value range of the objective function
Computational and Applied Mathematics, 2020F. Salary Pour Sharif Abad +2 more
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