TY - JOUR ID - Kheirfam2009 LB - Kheirfam2009 AU - Kheirfam, Behrouz TI - Sensitivity analysis in piecewise linear fractional programming problem with non-degenerate optimal solution ST - Sensitivity analysis in piecewise linear fractional programming problem with non-degenerate optimal solution JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2009 VL - 29 IS - 3 SP - 253 EP - 269 DO - http://dx.doi.org/10.7494/OpMath.2009.29.3.253 UR - http://dx.doi.org/10.7494/OpMath.2009.29.3.253 AB - In this paper, we study how changes in the coefficients of objective function and the right-hand-side vector of constraints of the piecewise linear fractional programming problems affect the non-degenerate optimal solution. We consider separate cases when changes occur in different parts of the problem and derive bounds for each perturbation, while the optimal solution is invariant. We explain that this analysis is a generalization of the sensitivity analysis for \(LP\), \(LFP\) and \(PLP\). Finally, the results are described by some numerical examples. KW - piecewise linear fractional programming KW - fractional programming KW - piecewise linear programming KW - sensitivity analysis SN - 1232-9274 ER -