Determining the Optimum Ordering Policy in Multi-Item Joint Replenishment Problem Using a Novel Method

Table 7

The cycle time ranges and associated replenishment frequency vectors for Example 2.

𝑖	𝑟𝑖	𝐌𝑖
1	0.2517	1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1
2	0.2160	1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1
3	0.1595	1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2
4	0.1519	1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2
5	0.1453	1, 1, 1, 1, 2, 2, 3, 1, 1, 1, 1, 1, 1, 2
6	0.1398	1, 1, 1, 2, 2, 2, 3, 1, 1, 1, 1, 1, 1, 2
7	0.1309	1, 1, 1, 2, 2, 2, 3, 1, 2, 1, 1, 1, 1, 2
8	0.1247	1, 1, 1, 2, 2, 3, 3, 1, 2, 1, 1, 1, 1, 2
9	0.1155	1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 1, 1, 1, 2
10	0.1118	1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 1, 1, 2, 2
11	0.1077	1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 1, 2, 2
12	0.1074	1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 1, 2, 2
13	0.1035	1, 1, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 2, 2
14	0.1027	1, 1, 2, 2, 2, 3, 4, 2, 2, 2, 2, 1, 2, 2
15	0.0921	1, 1, 2, 2, 2, 3, 4, 2, 2, 2, 2, 1, 2, 3
16	0.0882	1, 1, 2, 2, 2, 4, 4, 2, 2, 2, 2, 1, 2, 3
17	0.0877	1, 1, 2, 2, 3, 4, 4, 2, 2, 2, 2, 1, 2, 3
18	0.0807	1, 1, 2, 3, 3, 4, 4, 2, 2, 2, 2, 1, 2, 3
19	0.0796	1, 1, 2, 3, 3, 4, 5, 2, 2, 2, 2, 1, 2, 3
20	0.0775	1, 2, 2, 3, 3, 4, 5, 2, 2, 2, 2, 1, 2, 3
21	0.0756	1, 2, 2, 3, 3, 4, 5, 2, 3, 2, 2, 1, 2, 3
22	0.0683	1, 2, 2, 3, 3, 5, 5, 2, 3, 2, 2, 1, 2, 3
23	0.0670	1, 2, 2, 3, 3, 5, 5, 2, 3, 2, 2, 2, 2, 3
24	0.0667	1, 2, 2, 3, 3, 5, 5, 3, 3, 2, 2, 2, 2, 3
25	0.0651	1, 2, 2, 3, 3, 5, 5, 3, 3, 2, 2, 2, 2, 4
26	0.0650	1, 2, 2, 3, 3, 5, 6, 3, 3, 2, 2, 2, 2, 4
27	0.0645	1, 2, 2, 3, 3, 5, 6, 3, 3, 2, 2, 2, 3, 4
28	0.0622	1, 2, 2, 3, 3, 5, 6, 3, 3, 2, 3, 2, 3, 4
29	0.0620	1, 2, 2, 3, 4, 5, 6, 3, 3, 2, 3, 2, 3, 4
30	0.0620	1, 2, 2, 3, 4, 5, 6, 3, 3, 3, 3, 2, 3, 4
31	0.0598	1, 2, 3, 3, 4, 5, 6, 3, 3, 3, 3, 2, 3, 4
32	0.0571	1, 2, 3, 4, 4, 5, 6, 3, 3, 3, 3, 2, 3, 4
33	0.0558	1, 2, 3, 4, 4, 6, 6, 3, 3, 3, 3, 2, 3, 4
34	0.0549	1, 2, 3, 4, 4, 6, 7, 3, 3, 3, 3, 2, 3, 4
35	0.0535	1, 2, 3, 4, 4, 6, 7, 3, 4, 3, 3, 2, 3, 4
36	0.0516	2, 2, 3, 4, 4, 6, 7, 3, 4, 3, 3, 2, 3, 4
37	0.0505	2, 2, 3, 4, 4, 6, 7, 3, 4, 3, 3, 2, 3, 5