Presenting a Multi-Start Hybrid Heuristic for Solving the Problem of Two-Echelon Location-Routing Problem with Simultaneous Pickup and Delivery (2E-LRPSPD)

Table 9

Distances of two-echelon distribution system.

		S1	S2	C1	C2	C3	C4	C5	C6	C7	C8	C9	C10	C11	C12	C13	C14	C15	C16	C17	C18	C19	C20	C21	C22	C23	C24	C25
	—	334	356	—	—	—	—	—	—	—	—	—	—	—	—	—	—	—	—	—	—	—	—	—	—	—	—	—
S1	334	—	27.4	14.7	17	20.7	14.8	4	17.3	11	16.3	12.3	29.1	19.5	5	13.6	12.6	12.9	3.8	3.8	12.9	11.7	18.3	10	11.7	9.1	25.8	16.5
S2	356	27.4	—	11.5	8.3	11.3	7.8	28.6	7.6	13.4	7.4	13.5	4.8	11.4	17.8	13.1	10.7	10.3	26.7	26.8	10.5	12.1	12.3	14.2	13	14.8	5.9	7.2
C1	—	14.7	11.5	—	2.1	7	3.6	13.6	3.4	4.9	3.1	4	15.2	7	11	2.4	4	3.6	11.7	11.8	2.9	5.4	5.8	7.5	6.3	8.1	13.6	3.1
C2	—	17	8.3	2.1	—	5.5	2.5	14.6	2	7.7	1.6	5.8	13.8	5.6	12.1	4	5	4.6	12.7	12.8	3.9	6.4	4.9	8.5	7.3	9.1	12.2	1.6
C3	—	20.7	11.3	7	5.5	—	7.4	20.3	4.8	10.4	5.5	9.6	14.5	1.1	16.5	7.9	10.7	10.3	18.4	18.5	9.6	12.1	2.6	14.2	13	14.8	13.5	5.5
C4	—	14.8	7.8	3.6	2.5	7.4	—	13.6	3.3	6.7	2.3	6.8	13.1	8.3	11	6.4	4	3.6	11.7	11.8	3.7	5.4	9.8	6.7	5.2	7.5	11.5	2.5
C5	—	4	28.6	13.6	14.6	20.3	13.6	—	16.6	10.4	15.6	11.6	29.5	18.8	3.9	12.9	12	12.3	3.4	3.4	12.2	11	17.7	9.3	11	8.4	26.2	15.8
C6	—	17.3	7.6	3.4	2	4.8	3.3	16.6	—	8.8	1.7	7.4	11.8	5.2	13.2	5.7	6.2	5.8	13.9	14	5.9	7.6	5.7	9.7	8.4	10.2	11.1	1.2
C7	—	11	13.4	4.9	7.7	10.4	6.7	10.4	8.8	—	7.4	1.6	18.3	9.1	6.4	3.2	3.8	4.1	7.7	7.8	4	3.6	8	4.6	5.4	5.1	16.7	7.6
C8	—	16.3	7.4	3.1	1.6	5.5	2.3	15.6	1.7	7.4	—	7.6	13.1	7.5	11.8	7.2	4.8	4.4	12.5	12.6	4.5	6.2	6.5	8.3	7.1	8.9	11.7	0.6
C9	—	12.3	13.5	4	5.8	9.6	6.8	11.6	7.4	1.6	7.6	—	18.6	7.8	8.2	1.9	4	4.3	8.6	8.7	2.6	3.9	6.6	4.8	5.6	5.4	15.6	5.2
C10	—	29.1	4.8	15.2	13.8	14.5	13.1	29.5	11.8	18.3	13.1	18.6	—	15.2	23	18.3	15.9	15.6	23.7	23.7	15.7	17.4	17.2	19.5	18.2	20	6.4	12.5
C11	—	19.5	11.4	7	5.6	1.1	8.3	18.8	5.2	9.1	7.5	7.8	15.2	—	15.8	7.3	10	9.6	17.7	17.8	8.9	11.5	1.3	13.5	12.3	14.1	14.3	5.6
C12	—	5	17.8	11	12.1	16.5	11	3.9	13.2	6.4	11.8	8.2	23	15.8	—	10.4	9.6	9.9	1.6	1.7	9.9	8.7	15.1	7	8.7	6.1	23.9	13.5
C13	—	13.6	13.1	2.4	4	7.9	6.4	12.9	5.7	3.2	7.2	1.9	18.3	7.3	10.4	—	4.8	4.4	9.2	9.3	2.6	4.5	5.7	5.4	5.2	6	14.9	4.5
C14	—	12.6	10.7	4	5	10.7	4	12	6.2	3.8	4.8	4	15.9	10	9.6	4.8	—	0.55	9	9	2.2	1.6	9.1	3.8	2.4	4.2	21.2	5.9
C15	—	12.9	10.3	3.6	4.6	10.3	3.6	12.3	5.8	4.1	4.4	4.3	15.6	9.6	9.9	4.4	0.55	—	10	10.1	2.1	2.5	8.1	5.8	4.3	6.4	13.9	4.8
C16	—	3.8	26.7	11.7	12.7	18.4	11.7	3.4	13.9	7.7	12.5	8.6	23.7	17.7	1.6	9.2	9	10	—	0.05	10.1	8.9	15.5	7.2	8.9	6.3	23.4	13.7
C17	—	3.8	26.8	11.8	12.8	18.5	11.8	3.4	14	7.8	12.6	8.7	23.7	17.8	1.7	9.3	9	10.1	0.05	—	10	8.9	15.5	7.1	8.8	6.2	23.5	13.6
C18	—	12.9	10.5	2.9	3.9	9.6	3.7	12.2	5.9	4	4.5	2.6	15.7	8.9	9.9	2.6	2.2	2.1	10.1	10	—	4.2	7.4	6.3	5	6.8	14.2	5.2
C19	—	11.7	12.1	5.4	6.4	12.1	5.4	11	7.6	3.6	6.2	3.9	17.4	11.5	8.7	4.5	1.6	2.5	8.9	8.9	4.2	—	10.3	2.9	2	3.5	20.7	7.1
C20	—	18.3	12.3	5.8	4.9	2.6	9.8	17.7	5.7	8	6.5	6.6	17.2	1.3	15.1	5.7	9.1	8.1	15.5	15.5	7.4	10.3	—	12.7	11.5	13.3	15.6	5.9
C21	—	10	14.2	7.5	8.5	14.2	6.7	9.3	9.7	4.6	8.3	4.8	19.5	13.5	7	5.4	3.8	5.8	7.2	7.1	6.3	2.9	12.7	—	2.1	1.3	20.9	8.9
C22	—	11.7	13	6.3	7.3	13	5.2	11	8.4	5.4	7.1	5.6	18.2	12.3	8.7	5.2	2.4	4.3	8.9	8.8	5	2	11.5	2.1	—	2.7	18.7	7.8
C23	—	9.1	14.8	8.1	9.1	14.8	7.5	8.4	10.2	5.1	8.9	5.4	20	14.1	6.1	6	4.2	6.4	6.3	6.2	6.8	3.5	13.3	1.3	2.7	—	21.7	9.4
C24	—	25.8	5.9	13.6	12.2	13.5	11.5	26.2	11.1	16.7	11.7	15.6	6.4	14.3	23.9	14.9	21.2	13.9	23.4	23.5	14.2	20.7	15.6	20.9	18.7	21.7	—	11.2
C25	—	16.5	7.2	3.1	1.6	5.5	2.5	15.8	1.2	7.6	0.6	5.2	12.5	5.6	13.5	4.5	5.9	4.8	13.7	13.6	5.2	7.1	5.9	8.9	7.8	9.4	11.2	—