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

Table 14

Mean values of the objective function obtained from three meta-heuristic algorithms.

Problem number	N × M	ICA		PSO		GA
		Objective function	Computational times	Objective function	Computational times	Objective function	Computational times
1	3 × 12	2849.80	76.23	2768.62	221.14	2750.32	132.40
2	3 × 12	2659.08	74.98	2679.66	216.98	2632.20	130.13
3	3 × 10	2037.72	72.68	1996.7	205.33	2072.60	123.96
4	3 × 10	1917.26	73.56	1923.55	205.78	1933.93	124.43
5	3 × 15	2942.28	79.31	2971.85	243.38	3060.59	149.71
6	3 × 15	3451.31	79.45	3407.67	238.22	3388.70	146.38
7	3 × 16	3699.79	81.80	3658.51	257.32	3725.47	152.69
8	3 × 16	4325.25	80.89	4313.03	249.24	4133.24	155.19
9	3 × 13	1781.41	78.24	1795.53	227.47	1835.23	135.48
10	3 × 13	3327.71	77.63	3204.45	225.67	3284.96	136.20
11	4 × 12	1959.2	92.70	1969.3	257.33	2061.4	154.37
12	4 × 12	1991.82	92.64	2143.08	263.26	2166.94	154.68
13	4 × 14	3595.10	94.09	3618.97	273.61	4311.67	162.90
14	4 × 14	3308.36	94.76	3352.13	276.02	3386.49	160.54
15	4 × 16	3598.38	95.68	3656.24	279.74	3648.26	169.95
16	4 × 16	2778.13	96.37	2814.83	280.85	2791.70	170.07
17	4 × 18	4586.97	103.69	4631.98	295.27	4540.73	181.61
18	4 × 18	5171.15	104.47	5136.73	299.21	5169.58	179.99
19	4 × 20	5041.08	101.46	5190.46	306.47	5163.96	190.46
20	4 × 20	4877.92	103.95	4984.84	316.46	4877.04	195.01
21	5 × 15	5439.84	115.35	5398.24	313.87	5399	190.78
22	5 × 16	3920.98	114.36	3874.34	319.43	3871.86	192.94
23	5 × 18	3942.04	115.89	4139.03	334.21	3913.54	199.91
24	5 × 18	6779.99	116.76	6889.71	339.50	6581.08	199.85
25	5 × 20	4863.41	117.81	4776.85	343.90	4797.79	202.24
26	5 × 20	6449.17	129.546	6212.09	346.20	6160.17	206.52
27	3 × 12	2849.80	76.23	2768.62	221.14	2750.32	132.40
28	3 × 12	2659.08	74.98	2679.66	216.98	2632.20	130.13
29	3 × 10	2037.72	72.68	1996.7	205.33	2072.60	123.96
30	3 × 10	1917.26	73.56	1923.55	205.78	1933.93	124.43