This study develops an innovative strategy of Single Setup Multiple Delivery (SSMD) to control inventory and analyze the costs of the Construction Supply Chain (CSC) by formulating a Mixed-Integer Nonlinear Programming (MINLP) model that incorporates a Carbon Emission Scheme. Despite extensive research on CSCs, none have simultaneously addressed the integration of Net Present Value (NPV), inventory control strategies, and carbon tax policies, leaving a critical gap in optimizing cost and sustainability. Through this integrated approach, the value of money changes over time, and the NPV has been included in the calculations to analyze optimal periods with the best Rate of Return (ROR) where NPV is positive. The results of this study show that implementing the SSMD strategy leads to an increase in transportation costs while reducing holding costs. Furthermore, as the problem's complexity increased, the gap between the budget and chain costs also increased, bringing the study closer to its main goal of minimizing deviations from the budget. Additionally, as the dimensions of the problem increased, all chain costs, except for transportation, showed a constant trend. Incorporating the time value of money into the model involves considering the impact of the inflation rate on costs. The results showed that changes in the ROR led to an increase in costs. This study demonstrates that the implementation of the Carbon Tax Policy does not impact acceptable performance despite changes in the tax parameter. This study advances prior research by integrating NPV, SSMD, and carbon tax into a unified framework, demonstrating that the implementation of the Carbon Tax Policy does not impact acceptable performance despite changes in the tax parameter. The transportation costs show a consistent level of stability across various sizes of the Supply Chain (SC). Also, the longer the time horizon becomes, the smaller the NPV values, so it is more economical to complete the project in a shorter time horizon.
