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Abstract
The main purpose of this paper is to present a comprehensive view of the application mathematical models in the designing and implementing SSCM beside to solving problems and making decision.  The research questions are: what kind of mathematical models are used for designing and implementing sustainable supply chain management, how to use them, which industries implemented in, what modules of SSCM depth in and finally finding the gaps between the goals of Sustainable development and current researches and suggestions for further researches. 
 
 The methodology of the research is Systematic Literature review and evaluation peer review papers which are published in high ranking journals: First, we gather all papers through scientific data bases like Scopus, science direct, MDPI, Springer, Google Scholar. Then, screening papers based on the criteria such as object of paper, subject of paper, journals impact factor, peer review paper, and relative content of the papers. Finally, we selected 245 papers through three steps screening from 2806 papers that they have enough quality and relative to our research goals for context analysis. 
 
 For context analysis: First we categorize the information of the papers and draw the current situation of researches in the framework of our topic. Then, we evaluate and compare the goals of sustainability and current situation and find the gapes, then, offer suggestions required researches for pollutant industries such as Casting Industry, Heavy Industry, Coal Industry and so on. On the other hand, there are gaps in researches in some modules of SSCM such as packaging, designing products, etc.    
Highlights
SSCM refers to implementing all sustainable goals via Triple Bottom Line which are economic, environmental and social dimensions
Some papers evaluated sustainability in the wide range of supply chain referred by the area of research like development and developing countries and made some mathematical models, rules or new suggestions for developing countries (Sánchez-Flores, et al 2020); (Ali, Yufeng and Glyn, Sustainable supply chain management in emerging economies: Trade-offs between environmental and cost performance 2016); (Köksal and Müller 2018); (Jia, et al 2018)
We evaluate different mathematical models which are used in SSCM in order to decision support system, design and modeling, implementing, development, Environmental protection and social responsibility
Summary
SSCM refers to implementing all sustainable goals via Triple Bottom Line which are economic, environmental and social dimensions. Some papers evaluated sustainability in the wide range of supply chain referred by the area of research like development and developing countries and made some mathematical models, rules or new suggestions for developing countries (Sánchez-Flores, et al 2020); (Ali, Yufeng and Glyn, Sustainable supply chain management in emerging economies: Trade-offs between environmental and cost performance 2016); (Köksal and Müller 2018); (Jia, et al 2018). Because of rapid changing in environmental conditions and a number of alarming for warming world and environment protection, recently, the scholars and researchers take more attention on environment dimension of sustainability and green sustainable supply chain management (Kannan, Jabbour and Jabbour 2014); (Fang, Wang and Song 2020); (Rinib 2015); (Agi and Hazır 2020). There are some suggestions to governments to define subsides for environmental friendly products in order to controlling pollution and carbon cap (Li, Chen and Hou 2018)
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