Reviewing of numerous studies on waste management suggests that it is affected by a wide variety of economic, social and environmental factors which are themselves the source of the complexity of existing issues and a systemic look in this direction. For this purpose, existing researches has been investigated which here some are classified and enclosed in three areas of life cycle assessment models, multi-criteria optimization models and decision making. Additionally, reviewed articles in this areas are referred to the benefits and limitations of each. The results of current paper shows that in the reviewed models, there is no model that considers all three dimensions of environmental, economic, and social sustainability for waste management simultaneously, as well as combining and integrating two or more models and applying them simultaneously to a problem. It is possible that the shortcomings and limitations of each method alone will be eliminated by complementary methods and will usually be more accurate in judgments.