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

Table 4

The results of the recursive tightening procedures for Example 1.

𝑖	RG𝑖		𝐌𝑖	𝑇(𝐌𝑖)	𝐶(𝑇(𝐌𝑖),𝐌𝑖)
1	0.2517	1	1, 1, 1, 1, 1, 1, 1	0.1480	1757.13
4	0.1453	0.1519	1, 1, 1, 1, 2, 2, 2	0.1307	1695.28
6	0.1247	0.1398	1, 1, 1, 2, 2, 2, 3	0.1174	1672.65
7	0.1035	0.1247	1, 1, 1, 2, 2, 3, 3LU^∗	0.1148	1669.96
9	0.0882	0.1027	1, 1, 2, 2, 2, 3, 4	0.1043	1678.94
16	0.0620	0.0650	1, 2, 2, 3, 3, 5, 6	0.0885	1728.01
22	0.0480	0.0516	2, 2, 3, 4, 4, 6, 7	0.0627	1920.85

LLower bound, ∗optimal solution, Uupper bound.