The profit model in reverse logistics under the different environment factors

With the awareness of environment protection and sustainable development, the reverse logistics is increasingly being recognized. In traditional reverse logistics models, one of the most important assumptions is that: the return rate r is determinate, but due to a combination of factors such as law, policy and environmental protection etc, the return rate in reverse logistics is very alterable and hard to predict. This study aims at modifying the traditional model. Bring in a new variable eta which indicate the effect by various environment factors and is easy to forecast and estimate, through some reasonable assumption, find the relationship between r and eta, and refine the model. The results show that: (1) There is negative correlation between profit function L and environment factors eta; (2) Positive correlation between return rate and environment factors.