# Dynamic Relief Items Distribution Model with Sliding Time Window in the Post-Disaster Environment
## 4 Computational Experiments
### Dynamic RID Scheduling
#### 4.2.4 Dynamic Distribution Model with Fuzzy Travel Distance, Multi-Priority and Sliding Time Window
The distribution sequences are re-optimised by applying the evolutionary algorithm for 70 generations and, hence, the new optimum distribution sequences have been generated for the distribution at Time Slot 1. It has been observed that with the updated  
Altogether, five time slots have been applied for the dynamic distribution of relief items in this paper. A sample of the optimised distribution schedule after each time slot is presented in Table 6. The optimum distribution schedule from each time slot is combined which reflects the optimised distribution plan over the period. The combined distribution schedule is as:  
**(Time Slot 0): 27, 17, 11, 23, 9, 21, 16, (Time Slot 1): 24, 6, 12, 26, 15, (Time Slot 2): 9, 21, 17, 20, 3, 10, 22, 8, 18, 1, (Time Slot 3): 26, 8, 4, 2, 24, 20, 18, 27, 13, 17, 15, 28, 6, 25, 29, Best Plan Sequence (Time Slot 4): 3, 28, 23, 19, 7, 1, 11, 14, 20, 8, 5, 6, 9, 29, 2, 10, 12, 13, 18, 15, 17, 4, 22, 25, 24, 27, 16, 26, 21**  
The distribution schedules, listed in Table 6, describe the details of the distribution plan. For example, the schedule-1 sequence is described as: for disaster region (DR) 27, supply point (SP) 4 will supply relief items using vehicle type (VT) 1. This tour does not have an additional tour since the vehicle does not have any free space. The vehicle's journey starts at the hour (ST) 0 and ends at the hour (ET) 1. Schedule-2 is described as DR 27 getting relief items from SP 4 using VT 2. In this schedule, an additional tour is planned since the vehicle has free space as the demand at DR 27 is less than 90% of the capacity of VT 2. The additional tour is planned for the next nearest demand region (NnDR) 28 from the DR 14. The vehicle's journey starts at the hour (ST) 0 and ends at the hour (ET) 3. The other distribution schedules can be interpreted in the same way. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \(\mathbf{S_{Id}}\) & \(\mathbf{DR}\) & \(\mathbf{SP}\) & \(\mathbf{VT}\) & \(\mathbf{NnDR}\) & \(\mathbf{ST}\) & \(\mathbf{ET}\) \\ \hline
1 & 27 & 4 & 1 & - & 0 & 1 \\ \hline
2 & 27 & 4 & 2 & 28 & 0 & 3 \\ \hline
3 & 17 & 3 & 1 & - & 0 & 3 \\ \hline
4 & 17 & 3 & 7 & 16 & 0 & 3 \\ \hline
5 & 11 & 1 & 2 & - & 0 & 3 \\ \hline
6 & 11 & 1 & 4 & 12 & 0 & 3 \\ \hline
7 & 23 & 4 & 1 & - & 0 & 1 \\ \hline
8 & 23 & 4 & 4 & 22 & 0 & 3 \\ \hline
9 & 9 & 1 & 2 & - & 0 & 1 \\ \hline
10 & 9 & 1 & 3 & - & 0 & 3 \\ \hline
11 & 9 & 2 & 1 & - & 0 & 1 \\ \hline \hline \end{tabular}  
* \(\mathbf{S_{Id}}\): Schedule Id, DR: Demand Region, SP: Supply Point, VT: Vehicle Type, NnDR: Next Nearest Demand Region, ST: Start Time; ET: End Time. ET is the time (hour) when the vehicle completes its current tour.  
\end{table} 
Table 6: Sample of distribution schedule generated by the dynamic distribution model with multi-priority, fuzzy travel distance and sliding window (Time Slot 0). \begin{table}
\begin{tabular}{c c c c} \hline \hline \begin{tabular}{c} **Supply** \\ **Point** \\ \end{tabular}  & **Vehicle Type 1** & **Vehicle Type 2** & **Vehicle Type 3** & **Vehicle Type 4** \\ \hline \hline & T0/T1/T2/T3/T4 & T0/T1/T2/T3/T4 & T0/T1/T2/T3/T4 & T0/T1/T2/T3/T4 \\ \hline S1 & 0/0/2/2/1 & 2/1/1/1/1 & 1/2/2/2/0 & 1/1/1/1/1 \\ \hline S2 & 2/1/1/1/0 & 0/0/0/1 & 1/1/2/2/0 & 1/1/1/1/1/1 \\ \hline S3 & 1/1/0/0/0 & 0/0/2/2/1 & 1/3/2/2/1 & 1/0/0/0/0