Assessment of rainfall-runoff relationships is one of the most important sections in water resources management. Unit hydrograph method, since defined by Sherman (1932), is frequently used as useful tool for predicting the response of the given watershed to precipitation. In non-availability of single storms, it is necessary to deriving the unit hydrograph from complex storms. Several linear and non-linear models are introduced for this purpose. In this case study, different models of linear programming methods (LP) are introduced and compared in derivation of the unit hydrograph and simulation of the observed hydrograph. Results show that LP models are more flexible and can be used to simulate the important parameters of hydrograph precisely.