Abstract:Large-scale scientific research instruments play a crucial role in scientific research, but their high cost has made effective utilization a pressing concern. In addition to traditional leasing and purchasing options, the rental market offers various leasing models that leverage the principles of the sharing economy. This article delves into the optimization of capital allocation by considering the time value of capital, using the gas chromatograph as a case study. Specifically, the focus is on the OptionA-B leasing model for large-scale scientific research equipment. The article begins by employing a competitive analysis approach to devise a strategic framework for the OptionA-B online leasing problem. Furthermore, it performs a risk compensation analysis that considers decision makers' long-term expectations regarding equipment utilization. Additionally, through numerical analysis, the article delves into how factors such as interest rates, probability expectations, and risk tolerance affect the optimal online leasing strategy. The findings suggest that fluctuations in compound interest rates result in differences in the ideal timing for deploying risk compensation strategies. Decision makers' projected income is directly correlated with their risk tolerance. Furthermore, incorporating probability expectations can improve the competitive performance of large-scale scientific research instruments in addressing the compound interest dual online leasing issue.