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Markov Renewal Programming by Linear Fractional Programming
SIAM Journal on Applied Mathematics, 1966Markov renewal programming is treated by linear fractional programming. Particular attention is given to the resolution of tied policies that minimize expected cost per unit time. The multichain case is handled by a decomposition approach.
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Fuzzy efficient iterative method for multi-objective linear fractional programming problems
Mathematics and Computers in Simulation, 2019Various algorithms have been developed for the solution of Multi-objective linear fractional programming problems. An iterative approach is suggested by Valipour et al. (2014).
Rubi Arya, Pitam Singh
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Parametric Analysis in Linear Fractional Programming
Operations Research, 1986We consider the parametric analysis for a linear fractional programming problem with a scalar parameter in the right-hand side of the restrictions. A method we develop determines the optimal value of the objective function as well as the optimal solution of the parametric problem.
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A new method for solving linear fractional programming problem with absolute value functions
International Journal of Operations Research, 2019In this paper, we propose a new model for linear fractional programming problem with absolute value functions. The major contribution of this paper is that transformation of linear fractional programming problem into separate linear programming problems ...
S. Das +2 more
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On solving fuzzy rough multiobjective integer linear fractional programming problem
Journal of Intelligent & Fuzzy Systems, 2019In solving real life fractional programming problem, we often face the state of uncertainty as well as hesitation due to various uncontrollable factors. To overcome these limitations, the fuzzy rough approach is applied to this problem. In this paper, an
E. Ammar, Tarek Eljerbi
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Programming with linear fractional functionals
Naval Research Logistics Quarterly, 1968AbstractCharnes and Cooper [1] showed that a linear programming problem with a linear fractional objective function could be solved by solving at most two ordinary linear programming problems. In addition, they showed that where it is known a priori that the denominator of the objective function has a unique sign in the feasible region, only one ...
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Linear fractional programming problems with some multi-choice parameters
International Journal of Operations Research, 2019Linear fractional programming is a class of mathematical programming problem where we optimise the ratio of two linear functions subject to some linear constraints.
Avik Pradhan, M. P. Biswal
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Extreme point linear fractional functional programming
Zeitschrift für Operations Research, 1974This paper deals with the optimization of the ratio of two linear functions subject to a set of linear constraints with the additional restriction that the optimal solution is to be an extreme point of another convex polyhedron. In this paper, an enumerative procedure for solving such type of problems is developed.
Puri, M. C., Swarup, K.
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Multicriteria linear fractional programming
1981The object of this thesis is to study the multi-criteria linear fractional programming problems (MLFP). The characterizations of efficiency, weak efficiency and proper efficiency are derived. In the bicriteria case, the set E of all efficient solutions of (MLFP) is path-connected by a finite number of line segments and the efficient frontier F(E) can ...
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Hesitant Fuzzy Linear Fractional Programming Problem
2021In last decade hesitant fuzzy theory introduced as an extension of fuzzy theory which is a powerful tool in situations that we have hesitations in recognizing the imprecise membership degree of the elements of a set. There are not many studies on hesitant fuzzy linear fractional programming (HFLFP) problems; thus in this study we investigate this kind ...
Madineh Farnam, Majid Darehmiraki
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