Provide a Mathematical Model for Financing Small and Medium-Sized Manufacturing Enterprises (SMEs) in the Supply Chain

Given the importance of financing small and medium-sized manufacturing companies in order to provide working capital and their profitability, this study has presented a mathematical model for financing these companies by factoring in the supply chain. Factoring is one of the most important ways to finance the business world, especially for small and medium-sized enterprises. Therefore, considering the relationship between the enterprise and the bank, suppliers and buyers based on the integration of financial and physical flows in the supply chain, this research has financed the enterprise in the above-mentioned method. In order to analyze the validity of financing methods, goals, parameters and important variables in modeling, the perspective of experts based on the index of content validity ratio has been used. The goals of modeling are to maximize profits and achieve the desired liquidity in time periods, and in order to solve the model, goal programming has been used and in order to cover uncertainty conditions, interval programming has been used. Finally, the model was solved using GAMS software and CPLEX solver, and the results, in addition to proposing appropriate financial and physical flows in the supply chain, have proposed an appropriate factoring financing program to small and medium-sized manufacturing enterprises to provide the necessary liquidity in each period and increase profitability.