In the present work, complete dynamic analysis of fused deposition modeling (FDM) liquefier and different optimization techniques used for 3D printing or fused deposition modeling processes are studied and after effects of various input parameters on some performance parameters of 3D printed component like surface finish, component strength, thermal properties of printed component have been reviewed. The aim of this work is to investigate different analytical model related to FDM liquefier like pressure drop inside the liquefier, necessary heat flow inside the liquefier, speed of fan in order to maintain the temperature of liquefier so that material cannot get melt inside the heat sink, force which is required to feed the filament in to the extruder so that it cannot get buckle in between the feed step motor and extruder inlet. Here it also investigate the mechanical properties of FDM printed component like impact factor, Tensile strength, Young's modulus, yield strength, fracture characteristic, shear strength and many others. It also investigates the effect of input parameters like filament diameter, extruder temperature, feed rate, raster angle, characteristic of working material, nozzle angle, distance between parallel faces on output parameters like surface finishing, moving speed or movement of nozzle head, material volumetric concentration, cooling of print, strength, number of shells and deposition rate in 3D printing through different optimization techniques. Considerable amount of work has been reported by the researchers on dynamic analysis of 3D printing and optimization of various input parameters. Several analytical model have been developed by the researcher in order completely analyzed the extruder dynamics and also different approaches are proposed in the literature to optimize these parameters hence it is felt that a review of the various approaches developed would help to compare their main features and their relative advantages and limitations to allow choose the most suitable approach for a particular application. In view of above, this paper presents a review of development done in the area of Fused Deposition Modeling and optimization of process parameter of 3D printed components. (C) 2017 Elsevier Ltd. All rights reserved.