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.    

This paper examines how to design the sustainable production line in the factories with minimum environmental impacts and maximum social benefits. For modeling, the literature review is carried out first and according to researches and papers, environmental and social factors are extracted and then with using Sustainable Supply Chain Management structure, Integer Linear programming with using binary variables and Multi Goal Programming, to design an overall sustainable and environmentally friendly production line model with the most positive social effect.

Indeed, the electronic facilities, on which all modern system based, plays a basic rule for designing practical systems for companies' especially commercial and trading companies. This paper focuses on trading process and new facilities and tools for doing trading works through Internet and the influence of Electronic tools on process. We first conceptualize main process for a trading company and based on designed process, suggested electronic system with considering rules and conditions for e-commerce and trading companies. We tried to draw a practical system with supplier-based perspective using interaction approach. Second, we introduced new electronic tools and facilities in order to perform process of trading activities and new approach of development of business relationships, and redesign process. For evaluation of designed system, we had a trial in SIFCO as a trading company for steel materials and assessed the data in result of implementation system and finally we measured performance of system with considering two criteria: Time and Accuracy. 