Motif is a Turkish electrotechnical company which operates a warehouse in Ankara. The warehouse has a single I/O point and 32 storage locations.
Tables 1 and 2 report the characteristics of the six products and the distances between the I/O point and the storage locations, respectively.
Assuming that the travel time from the I/O point to storage location k (k = 1,..., 32) is directly proportional to the corresponding distance, determine the optimal allocation of the products in the warehouse.
| Table 1 Characteristics of the products in the Motif problem. |
| Product |
Storage locations required |
Daily number of storages and retrievals |
| 1 |
6 |
133 |
| 2 |
5 |
128 |
| 3 |
8 |
198 |
| 4 |
5 |
126 |
| 5 |
4 |
128 |
| 6 |
3 |
98 |
| Table 2 Distance (in m) between the storage locations and the I/O points in the Motif problem. |
| Storage location |
Distance
|
Storage location
|
Distance |
Storage location
|
Distance |
Storage location
|
Distance |
|
1
|
12
|
9
|
15
|
17
|
17
|
25
|
20
|
|
2
|
10
|
10
|
11
|
18
|
13
|
26
|
14
|
|
3
|
13
|
11
|
12
|
19
|
13
|
27
|
16
|
|
4
|
13
|
12
|
14
|
20
|
17
|
28
|
19
|
|
5
|
17
|
13
|
14
|
21
|
19
|
29
|
19
|
|
6
|
14
|
14
|
17
|
22
|
17
|
30
|
20
|
|
7
|
16
|
15
|
19
|
23
|
14
|
31
|
17
|
|
8
|
18 |
16
|
16
|
24
|
20
|
32
|
18
|