A New Mathematical Model for Cell Layout Problem considering Rotation of Unequal Dimensions of Cells and Machines

Table 20

Mean values of the criteria obtained from implementation of three meta-heuristic algorithms on 30 random problems.

Problem number	Problem size	ICA		PSO		GA
		Cost	Time	Cost	Time	Cost	Time
1	3 × 12	7.29	1.38	4.24	194.08	3.55	76.07
2	3 × 12	4.13	0.90	4.94	192.01	3.08	75.12
3	3 × 10	3.75	0.57	1.66	184.11	5.52	71.52
4	3 × 10	1.38	0.44	1.72	180.97	2.27	69.89
5	3 × 15	4.83	0.06	5.88	208.53	9.05	89.79
6	3 × 15	21.05	1.24	7.69	203.54	7.09	86.52
7	3 × 16	8.23	2.74	7.02	223.17	8.98	91.76
8	3 × 16	8.77	1.27	8.46	212.03	3.94	94.29
9	3 × 13	4.17	3.07	4.99	199.66	7.32	78.15
10	3 × 13	8.20	1.36	4.19	194.64	6.81	77.83
11	4 × 12	4.04	0.75	4.58	179.69	9.47	67.78
12	4 × 12	3.09	0.57	10.92	185.76	12.16	67.91
13	4 × 14	4.78	2.006	5.47	196.62	25.66	76.60
14	4 × 14	3.16	1.43	4.52	195.50	5.59	71.87
15	4 × 16	4.70	1.35	6.39	196.31	6.15	80.02
16	4 × 16	3.96	0.90	5.34	194.05	4.47	78.06
17	4 × 18	4.61	4.89	5.63	198.68	3.55	83.71
18	4 × 18	5.18	5.24	4.48	201.41	5.15	81.31
19	4 × 20	2.64	1.73	5.69	207.26	5.13	90.95
20	4 × 20	3.42	1.23	3.83	210.43	1.59	91.29
21	5 × 15	5.80	2.74	4.99	179.57	5.01	69.93
22	5 × 16	5.25	1.25	4.003	182.81	3.93	70.83
23	5 × 18	3.40	0.35	8.57	189.39	2.65	73.11
24	5 × 18	7.07	0.70	8.80	192.81	3.72	72.37
25	5 × 20	5.97	1.76	4.09	197.05	4.55	74.69
26	5 × 20	9.32	10.60	5.30	195.59	4.42	76.34
27	5 × 22	3.24	0.68	1.75	203.29	11.36	103.01
28	5 × 22	3.45	0.58	5.16	204.43	4.22	79.71
29	5 × 25	3.72	1.94	5.38	216.79	2.76	88.68
30	5 × 25	4.23	1.44	5.32	152.66	4.56	86.64
Average		5.42	1.84	5.37	195.76	6.12	79.85