Developing a multi- objective mathematical programming model for compost supply chain design regarding the produced compost quality and environmental sustainability.

For a long time, waste materials have been used to produce compost by different methods. Despite the high importance of compost as an organic fertilizer for the fertility of agricultural products, the literature review on the compost supply chain shows that this issue has not received much attention. On the other hand, the quality of the compost produced is very important, which is considered by an innovative glance in the form of analytical hierarchical analysis method, in this paper. Therefore, a multi-objective model proposed which discusses the compost production process, compost supply chain design, compost quality, compost supply chain costs and furthermore the reduction of greenhouse gases emission. The multi-objective model is solved by weighted sum and epsilon constraint methods. The model is implemented for a case study to discover the efficiency of the proposed model. According to the sensitivity analyses, useful managerial insights regarded to determining the optimal capacity of suppliers and producers, improving the efficiency of the compost supply chain by considering the quality objective function, determining the appropriate transportation equipment taking into account the management priorities based on the entire supply chain cost and the legal requirements based on the emission of pollutants and determining the optimal method of compost production are extracted.