A Multi-objective Optimization Model for Distribution Center Location Based on Reliability of the System

Figure 1.

Unit transportation cost from D-center i to customer j (unit: yuan / ton / km)

j	i	1	2	3	4	5	6	7	8
1		20	15	24	19	20	22	18	21
2		23	25	17	16	21	23	19	28
3		20	12	19	27	20	24	16	19
4		17	25	27	22	18	19	24	30

the demand of customer j (unit: tons)

j	1	2	3	4	5	6	7	8
qj	4600	3400	2700	4000	2300	3800	2000	2300

the distance from D-center i to customer j (unit: km)

J	i	1	2	3	4	5	6	7	8
1		155.9	192.5	255.6	181.3	188.1	133.5	166.3	148.6
2		99.4	138.4	146.1	89.3	122.5	200.2	150.7	102.4
3		128.6	217.3	160.3	190.3	94.6	125.6	205.6	129.4
4		178.2	198.4	280.3	290.5	210.8	161.6	181.7	185

Unit transportation cost from factory w to D-center i (unit: yuan / ton / km)

i	1	2	3	4
cwi	18	16	15	20

the fixed costs of construction of D-centers (Unit: ten thousand Yuan)

i	1	2	3	4
gi	87	90	92	95

distance from factory w to the D-center i (units: km)

i	1	2	3	4
dwi	210	273	260	160