Recent free-floating platforms offer service to consumers via a sharing model that can substantially increases the service’s circulation and utilization. This paper examines the optimal investment strategy in product quality, input quantity, and dynamic advertising for a free-floating sharing platform that owns a durable product and leases it to consumers. We model the problem as an optimal control problem and solve it via the maximum principle and an algorithm. We discuss four investment strategies, one single-stage strategy and three two-stage strategies (flexible quality, flexible quantity, and dual-flexible). Our findings provide new insights and implications into the sharing platform’s investment strategy.

最近的自由浮动平台通过共享模型向消费者提供服务，可以大大增加服务的流通和利用率。本文研究了拥有耐用产品并将其出租给消费者的自由浮动共享平台在产品质量，投入量和动态广告方面的最佳投资策略。我们将该问题建模为最佳控制问题，并通过最大原理和算法对其进行求解。我们讨论了四种投资策略，一种单阶段策略和三种两阶段策略（灵活的质量，灵活的数量和双重灵活的策略）。我们的发现为共享平台的投资策略提供了新的见解和启示。