Obtaining an Initial Solution for Facility Layout Problem

Table 8

The value of cost function in GOT initial solution and the best value of random placements.

𝑛	GOT initial solution	The best random initial solution
10	1945	2437.3
11	2122	2758.5
12	2368	3531.7
13	4919	5764
14	5514	7024
15	5538	7449
16	8116	10287.7
17	8468	12207.5
18	10648	15304
19	13943	19119.3
20	14265	20094
21	17199	22491.2
22	16610	26370
23	22128	30749.2
24	25533	35508
25	27585	37968.4
26	29929	43803.6
27	36255	51850
28	41483	57050.5
29	47543	65109.2
30	57830	73705.8
31	61408	82058.4
32	63687	86436
33	59970	94066.4
34	82721	110195.2
35	76220	104940
36	92426	124186.1
37	95386	125468
38	87532	150060
39	93708	146793.8
40	118266	180538
41	141363	183911
42	104263	195458.7
43	152188	204207.3
44	163529	239253
45	166360	237051.8
46	167002	251049.3
47	189027	290085
48	226097	305900
49	234811	324500.3
50	238855	337198.9
51	264842	358480.5
52	251009	358666.7
53	233805	370262.4
54	298806	404104.4
55	284543	431091.9
56	344755	481656.9
57	371962	493986.4
58	344044	510976
59	375321	503358.9
60	373118	538554.9
61	370817	573555.9
62	457275	628602.9
63	544350	688184.6
64	530408	708518.3
65	502322	690275.2
66	526230	741481.1
67	556568	773325.9
68	639735	867242.4
69	578533	860229.8
70	643592	914437.3
71	589557	893978.8
72	670866	950592.5
73	736669	1058290.5
74	660395	1039023
75	749795	1115704.6
76	835418	1180300
77	727648	1157821.9
78	852689	1147676
79	971135	1273329.8
80	920522	1294614.8
81	882645	1420567
82	1084711	1500037.8
83	1072241	1436365.1
84	1072132	1606669.3
85	1154018	1552139.2
86	1150925	1756302.3
87	1164220	1608156.3
88	1230008	1726587.4
89	1379479	1913688.3
90	1351210	1970899.3
91	1275975	1895126.4
92	1360771	2114230
93	1520228	1969614.1
94	1542740	2125200
95	1581145	2230222.7
96	1640792	2305569.3
97	1486796	2362639.4
98	1645889	2365109.3
99	1607866	2490733.7
100	2073979	2635666.4