# Pricing Strategies of Logistics Distribution Services for Perishable Commodities
## 5 Experiment Analysis
### Results of the Fixed Pricing Model  
Under the fixed pricing model, the decay indexes of perishable commodity are 0.05, 0.10, 0.15, 0.20, respectively, and the distribution time \(T\) ranges from 0 to 20 in steps of 0.25. The corresponding distribution pricing is shown in Figure 1. The values for \(T\) are 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20 corresponding to Table 2.  
\begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline
**No** & **Four Models** & \multicolumn{3}{c}{**Optimal Price**} & \multicolumn{3}{c}{**Average Profit (RMB)**} \\ \hline
1 & Fixed pricing model & \({P_{F}}^{*}=16.09\) & 69.96 \\
2 & Fixed pricing model with time constraints & \({P_{TF}}^{*}=16.27\) & 70.58 \\
3 & Dynamic pricing model & \({P_{D}}(0)^{*}=17.00\) & 67.19 \\
4 & Dynamic pricing model with time constraints & \({P_{TD}}(0)^{*}=17.0004\) & 70.77 \\ \hline \hline \end{tabular}
\end{table}
Table 1: Optimal price and average profit in four models.  
Figure 1: Relationship between distribution pricing and (\(\lambda,T\)) in the fixed pricing model.  
\begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline
**Value Decay Index** & **2** & **4** & **6** & **8** & **10** & **12** & **14** & **16** & **18** & **20** \\ \hline \(\lambda=0.05\) & 16.54 & 16.09 & 15.66 & 15.27 & 14.89 & 14.54 & 14.22 & 13.91 & 13.62 & 13.35 \\ \(\lambda=0.10\) & 16.09 & 15.27 & 14.54 & 13.91 & 13.35 & 12.85 & 12.41 & 12.01 & 11.66 & 11.35 \\ \(\lambda=0.15\) & 15.66 & 14.54 & 13.62 & 12.85 & 12.2 & 11.66 & 11.2 & 10.81 & 10.48 & 10.19 \\ \(\lambda=0.20\) & 15.27 & 13.91 & 12.85 & 12.01 & 11.35 & 10.81 & 10.38 & 10.02 & 9.73 & 9.48 \\ \hline \hline \end{tabular}
\end{table}
Table 2: Relationship between distribution pricing and (\(\lambda,T\)) in the fixed pricing model.  
As shown in Figure 1 and Table 2, the distribution pricing decreases with the increase of the decay index, which is similar to the conclusion of property 1. The longer the delivery time, the lower the distribution price is. When the logistics service provider chooses the fixed pricing model, it should pay more attention to the selection of perishable goods with smaller decay index for distribution. For perishable goods with a larger decay index, it should reduce the distribution time as far as possible to reduce the risk caused by the decay of such goods in the distribution process.  
According to property 2, the service satisfaction of consumers is equivalent to the price of logistics distribution. Here, values of \(l\) are 0.2, 0.4, 0.6 and 0.8 and the distribution time \(T\) is in 0.25 increments from 0 to 20. The corresponding distribution time is 2, 4, 6, 8, 10, 12, 14, 16, 18, and 20. The results are shown in Figure 2 and Table 3.  
From Figures 2 and 3, we can see that the higher the satisfaction degree of consumer service, the higher the distribution pricing of perishable goods, which is same to the conclusion of property 2. Therefore, the logistics service provider should accomplish the distribution within the prescribed time as far as possible, and ensure the freshness of perishable goods in the distribution process. In this way, consumer satisfaction will be enhanced, which would then, in turn, improve the distribution pricing of perishable goods.