Lagrangian Relaxation for an Inventory Location Problem with Periodic Inventory Control and Stochastic Capacity Constraints

Table 5

Sensitivity analysis for the capacity constraints with variances at baseline and R=3.

First relaxation: QCap = 600, 900							Second relaxation: QCap = 600, 900
W	D	V					W	D	V
2	257.0	4,004.5	99.0	50.2	206.7	50.2	2	254.7	3,910.3	100.4	61.5	210.2	61.5
3	263.6	3,995.6	67.2	30.7	197.0	30.7	3	263.6	3,995.6	67.2	30.7	197.0	30.7
5	215.5	3,510.3	186.0	198.7	268.6	186.0	5	216.2	3,610.1	185.5	191.7	267.3	185.5
8	268.3	4,116.9	169.7	11.1	190.0	11.1	8	268.3	4,116.9	169.7	11.1	190.0	11.1
10	217.5	3,683.5	213.5	131.2	265.2	131.2	10	215.8	3,495.2	214.2	147.2	268.2	147.2
11	204.6	3,163.0	197.4	200.6	285.4	197.4	11	204.6	3,163.0	197.4	200.6	285.4	197.4
13	210.6	3,615.8	217.3	156.0	275.6	156.0	12	223.5	3,936.9	106.0	153.9	255.9	106.0
14	263.9	4,026.6	87.5	28.4	196.5	28.4	13	204.8	3,265.8	219.1	193.8	284.9	193.8
15	200.5	3,211.1	247.9	209.8	291.2	209.8	14	198.0	3,169.2	120.3	269.1	295.0	120.3
16	240.2	4,384.0	74.4	83.1	230.6	74.4	16	231.9	4,049.3	79.5	123.5	243.5	79.5
19	203.2	3,179.8	53.2	313.0	287.4	53.2	19	263.6	4,178.6	13.4	91.2	196.7	13.4
20	209.0	3,576.4	245.2	163.0	278.0	163.0	20	209.0	3,576.4	245.2	163.0	278.0	163.0