7. LS¶
7.1. Theory¶
Read and understand the source code of package minils and the sudoku example on github.
Part 2: LS Routing Problems
7.2. Exercises¶
7.2.1. Traveling Salesman Problem: 2-Opt¶
You are given a suboptimal solution: [1,2,3,4,5] (list of the visited nodes). If the optimal solution is [4,1,3,2,5], what is the minimal sequence of 2-Opt moves to reach the solution?
7.2.2. Vehicle Routing Problem: Clark-Wright Savings Algorithm¶
Given the following demands and distances between the depot and the customers, find an initial solution to the Vehicle Routing Problem with a maximum capacity of 50 using the Clark-Wright Savings Algorithm.
Customer |
1 |
2 |
3 |
4 |
5 |
Demand |
15 |
10 |
15 |
20 |
30 |
Distances |
depot |
1 |
2 |
3 |
4 |
5 |
depot |
15 |
10 |
20 |
10 |
25 |
|
1 |
5 |
15 |
15 |
5 |
||
2 |
25 |
10 |
10 |
|||
3 |
5 |
5 |
||||
4 |
20 |
|||||
5 |