ISSN 1439-8516 CN 11-2039/O1
| Parameters | Definition |
| $ a $ | The potential market demand of each isometric stage |
| $ l $ | The length of each sales stage |
| $ c $ | The cost of the supplier per unit item |
| $ \delta $ | The linear price-sensitive coefficient of the demand quantity |
| $ T $ | The shelf-life length of the considered product |
| $ t $ | The $ t $th sales stage, 1 $ \le t \le T $, $ t \in $Z$ ^{ + } $ |
| $ p_{t} $ | The retail price at stage $ t $ |
| $ D_{t} $ | The demand (sales) quantity at stage $ t $, $ D_{t}=a - \delta p _{t} - $ ($ t - $ 1)$ a $/$ T $ |
| $ w $ | The wholesale price in the traditional mode |
| $ \beta $ | The commission rate in the commission-charge mode, $ \beta \in $(0, 1) |
| $ \Omega $ | The set of all reasonable $ \beta $ |
| $ m $ | The number of sales stages for the traditional mode, $ m \in $Z$ ^{ + } $ |
| $ n $ | The number of sales stages for the commission mode, $ n \in $Z$ ^{ + } $ |
| $ G\left\langle \right\rangle $ | Gauss rounding function for determining the selling cycle length under the discrete scenario |
| $ \pi _{1} $ | The total profit of the supply chain in the traditional mode |
| $ \pi _{1, s} $ | The profit of the supplier in the traditional mode |
| $ \pi _{1, r} $ | The profit of the retailer in the traditional mode |
| $ \pi _{2} $ | The total profit of the supply chain in the commission-charge mode |
| $ \pi _{2, s} $ | The profit of the supplier in the commission mode, $ \pi_{2, s} = (1 - \beta)\pi _{2} $ |
| $ \pi _{2, r} $ | The profit of the retailer in the commission mode, $ \pi _{2, r} $ =$ \beta \pi _{2} $ |
