Abstract
This 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.
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Chadha SS (1971) A dual fractional program. Zeitschrift fur angewandte mathematic und mechanic 35: 560–561
Kaska J (1969) Duality in linear fractional programming. Ekonomicko—matematický, obzor 5: 442–453
Kuhn AW, Tucker AW (1951) Non-linear programming. Proceeding of second berkeley symposium on mathematical statistics and probability, University of california press, pp 481–492
Tucker AW (1957) Linear and non-linear programming. Oper Res 5:244–257
Swarup K (1968) Duality in fractional programming. Unternehmensforschung 12:106–111
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Chadha, S.S., Chadha, V. Linear fractional programming and duality. cent.eur.j.oper.res. 15, 119–125 (2007). https://doi.org/10.1007/s10100-007-0021-3
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DOI: https://doi.org/10.1007/s10100-007-0021-3