Prediction of Mine Dust Concentration Based on Grey Markov Model

Table 6

Comparison between ARIMA model and grey Markov model.

Number	Concentration	ARIMA	Relative error	Mean square relative error	Grey Markov	Relative error	Mean square relative error
1	19.6100				23.1398	0.1800	0.0324
2	15.5775				21.1430	0.3573	0.1276
3	15.6900	15.5900	0.0064	0.0000	21.1708	0.3493	0.1220
4	18.7425	13.5700	0.2760	0.0762	21.1988	0.1311	0.0172
5	23.5300	23.7200	0.0081	0.0001	21.2267	0.0979	0.0096
6	29.3186	24.7500	0.1558	0.0243	33.8926	0.1560	0.0243
7	37.2600	34.8100	0.0658	0.0043	33.9373	0.0892	0.0080
8	48.0679	39.8800	0.1703	0.0290	46.6532	0.0294	0.0009
9	58.8200	48.0300	0.1834	0.0337	59.4026	0.0099	0.0001
10	65.4248	61.6400	0.0578	0.0033	59.4809	0.0909	0.0083
11	62.7500	53.3300	0.1501	0.0225	59.5593	0.0508	0.0026
12	48.3254	64.3600	0.3318	0.1101	46.8996	0.0295	0.0009
13	31.3700	49.3200	0.5722	0.3274	34.2065	0.0904	0.0082
14	21.6723	34.4300	0.5887	0.3465	21.4798	0.0089	0.0001
15	19.6100	34.4800	0.7583	0.5750	21.5081	0.0968	0.0094
16	22.3377	21.9800	0.0160	0.0003	21.5364	0.0359	0.0013
17	23.5300	21.5100	0.0858	0.0074	21.5649	0.0835	0.0070
18	18.8867	22.9300	0.2141	0.0458	21.5933	0.1433	0.0205
19	15.6900	21.3900	0.3633	0.1320	21.6218	0.3781	0.1429
20	20.7556	15.8700	0.2354	0.0554	21.6503	0.0431	0.0019
21	27.4500	20.6000	0.2495	0.0623	21.6787	0.2102	0.0442
22	28.0011	26.1800	0.0650	0.0042	21.7074	0.2248	0.0505
23	23.5300	21.2400	0.0973	0.0095	21.7359	0.0762	0.0058
24	17.7300	22.3700	0.2617	0.0685	21.7646	0.2276	0.0518
25	15.6900	22.9500	0.4627	0.2141	21.7933	0.3890	0.1513
26	20.6990	16.2600	0.2145	0.0460	21.8220	0.0543	0.0029
27	27.4500	21.3700	0.2215	0.0491	21.8508	0.2040	0.0416
28	29.8742	26.2500	0.1213	0.0147	34.8891	0.1679	0.0282
29	27.4500	23.2800	0.1519	0.0231	21.9084	0.2019	0.0408
30	22.2993	26.1400	0.1722	0.0297	21.9373	0.0162	0.0003
31	21.5700	27.4300	0.2717	0.0738	21.9662	0.0184	0.0003
32	29.7035	22.1500	0.2543	0.0647	35.0734	0.1808	0.0327
33	35.2900	25.4500	0.2788	0.0777	35.1196	0.0048	0.0000
34	28.7318	33.5300	0.1670	0.0279	35.1659	0.2239	0.0501
35	23.5300	31.4700	0.3374	0.1139	22.0823	0.0615	0.0038
36	32.5657	24.4400	0.2495	0.0623	35.2586	0.0827	0.0068
37	43.1400	32.0500	0.2571	0.0661	48.4698	0.1235	0.0153
38	41.5041	41.5900	0.0021	0.0000	35.3516	0.1482	0.0220
39	35.2900	35.9400	0.0184	0.0003	35.3982	0.0031	0.0000
40	34.2565	35.0500	0.0232	0.0005	35.4448	0.0347	0.0012
41	35.2900	36.0800	0.0224	0.0005	35.4916	0.0057	0.0000
42	33.7009	35.4800	0.0528	0.0028	35.5384	0.0545	0.0030
43	31.3700	33.6800	0.0736	0.0054	35.5853	0.1344	0.0181
44	30.9197	31.7000	0.0252	0.0006	35.6321	0.1524	0.0232
45	31.3700	31.3500	0.0006	0.0000	35.6791	0.1374	0.0189
46	30.8403	31.3900	0.0178	0.0003	35.7262	0.1584	0.0251
47	27.4500	29.8000	0.0856	0.0073	22.4341	0.1827	0.0334