Results 221 to 230 of about 5,342 (265)
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On duality in linear fractional functionals programming
Zeitschrift für Operations Research, 1972The paper formulates a dual program for a given linear fractional functionals program (L.F.F.P.) and proves the duality theorem and its converse for the same. Special feature of the paper is that both the primal and the dual programs are L. F. F. Ps. and can easily be solved by the existing standard techniques.
I. C. Sharma, Kanti Swarup
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Algorithmic Equivalence in Linear Fractional Programming
Management Science, 1968This 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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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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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 Linear Fractional Program with Homogeneous Constraints by
OPSEARCH, 1999This paper proposes an algorithm for solving a linear fractional functionals program when some of its constraints are homogeneous. Using these homogeneous constraints a transformation matrix T is constructed. Matrix T transforms the given problem into another linear fractional functional program but with fewer constraints.
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Bicriteria linear fractional programming
Journal of Optimization Theory and Applications, 1982As a step toward the investigation of the multicriteria linear fractional program, this paper provides a thorough analysis of the bicriteria case. It is shown that the set of efficient points is a finite union of linearly constrained sets and the efficient frontier is the image of a finite number of connected line segments of efficient points. A simple
Choo, E. U., Atkins, D. R.
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Equivalence in linear fractional programming
Optimization, 1992In this paper two algorithms are suggested for solving a linear fractional problem whatever the feasible region is. Such algorithms can be interpreted as a modified version of Martos and Charnes-Cooper algorithms. Successively, it will be shown that the two methods are algorithmically equivalent in the sense that they generate the same finite sequence ...
MARTEIN, LAURA, CAMBINI, ALBERTO
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Equivalence of various linearization algorithms for linear fractional programming
ZOR Zeitschrift f�r Operations Research Methods and Models of Operations Research, 1989The author shows that the linearization methods proposed by \textit{J. R. Isbell} and \textit{W. H. Marlow} [Nav. Res. Logist. Quart. 3, 71-94 (1956)], \textit{O. L. Mangasarian} [J. Oper. Res. Soc. Japan 12, 1-10 (1969; Zbl 0257.90043)], \textit{G. R. Bitran} and \textit{T. L. Magnanti} [Oper. Res.
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Parametric Solution of Bicriterion Linear Fractional Programs
Operations Research, 1985We show how certain bicriterion fractional programs can be reduced to a one parameter linear program and a series of one-dimensional maximizations. The resulting algorithm is easily implemented using the PARAROW option of MPSX, and has readily solved problems having up to 300 variables and 150 constraints.
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Comparison of duality models in fractional linear programming
Zeitschrift für Operations Research, 1977This paper deals with the duality models in fractional linear programming presented in the last years bySwarup, Kaska, Sharma andSwarup and other authors.
Jaromir Abrham, S. Luthra
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