Sensitivity Analysis in Linear-Plus-Linear Fractional Programming Problems

Subject Areas : Operation Research

ب. خیرفام ¹

1 - Department of Mathematics Azarbaijan University of Tarbiat Moallem

Received: 2009-01-01 Accepted : 2009-03-01 Published : 2009-04-01

Keywords: Sensitivity analysis, Linear fractional programming,

Abstract :

In this paper, we study the classical sensitivity analysis when the right - hand – side vector, and the coefficients of the objective function are allowed to vary.

References:

[1] Cambini, A, Crouzeix, J.-P and Martein, L: On the Pseudo-convexity of a Quadratic Fractional Function, Optimization 51(2), 677-687 (2002).

[2] Chadha, S.S: Dual of the Sum of a Linear and Linear Fractional Program, European Journal of Operational Research, 67, 136-139 (1993).

[3] Gass, S: Linear Programming, Methods and Application, McGraw-Hill, New York (1958).

[4] Hirche, J: On programming problems with a linear-plus-linear fractional objective function, Cahiers du Centre d’Etudes de Recherche Operationelle, 26(1-2), 59-64 (1984).

[5] Schaible, S: Fractional Programming, Applications and Algorithms, European Journal of Operational Research, 7, 111-120 (1981).

[6] Schaible, S and Ibaraki, T: Fractional Programming, European Journal of Operational Research, 12, 247-255 (1983).

[7] Swarup, K: Linear Fractional Programming, Operation Research, 10, 380-387 (1965).

[8] Teterev, A. G: On a generalization of Linear and Piecewise Linear Programming, Matekon, 6, 246-259 (1970).