Graph-Coloring-Problem

Using 3 ways to solve the problem: Tabu Search, Hybrid Evolutionary Algorithms and HEA in Duet.

Description

Tabu08.cpp uses algorithm from Using tabu search techniques for graph coloring.

HEA02.cpp uses algorithm from Hybrid Evolutionary Algorithms for Graph Coloring.

HEAD01.cpp uses algorithm from Variations on memetic algorithms for graph coloring problems.

DSJC500.5.col is the test instance.

The last one is published in Feb, 2018 and is the fastest one among these 3 ways. And its best solution is K=47.

Tabu search is the foundation of other 2 ways.

Thanks for chenfengkg 's article 禁忌搜索算法解决图着色问题. Tabu08.cpp borrowed his ideas and I made some changes in judgment condition to make it more concise.

The main difference from his code is the way to select move, shown as following.

if (tmp_delt <= delt && ( iter> h_tabu[j]|| (tmp_delt + f)<best_f)) { // 1&&(2||3)
    if (tmp_delt < delt) {//当前解小于本次迭代最优解,则重新开始保存解
    equ_count = 0;
    delt = tmp_delt;
    }
    equ_delt[equ_count][0] = i;
    equ_delt[equ_count][1] = j;
    equ_count++;
}

 int tmp = rand() % equ_count;//有多个解时，随机选择
    sel_vertex = equ_delt[tmp][0];
    sel_color = equ_delt[tmp][1];

Result

Using DSJC500.5.col to test.

Tabu

K=49

	迭代次数	时间(ms)	迭代频率(次/s)
1	6637998	20931	317137
2	23955577	75391	317751
3	38922336	123361	315516
4	96602832	302124	319746
5	12942501	40556	319127
6	2570572	8239	312000
7	139941246	439614	318328
8	218616457	690711	316509
9	52939800	168495	314192
10	7037286	21899	321352
11	9168899	28408	322758
12	13672252	41232	331593
平均值	51917313	163413.4	318834

HEA

K=49, L=4000

CrossIter	time	平均迭代频率（次/s)
450	6696	67.20430108
495	7977	62.05340354
595	8817	67.48327095
306	5263	58.14174425
710	10853	65.41969962
963	13594	70.8400765
338	4866	69.46157008
261	4857	53.73687461
391	6020	64.95016611
644	8695	74.06555492

K=48,L=10000

CrossIter	time
1767	59003
fail
887	32752
fail
1736	62200
1212	42157

平均迭代频率（次/s) 67.20430108

HEAD

K=48,L=10000

No.	Cross	Time(ms)	频率（次/s)
1	2229	128406	17.36
2	1068	65191	16.38
3	789	51019	15.46
4	2958	172251	17.17
5	836	52173	16.02
6	686	39936	17.18
7	261	16835	15.50
8	625	36765	17.00
9	567	40804	13.90
10	1286	74541	17.25
11	820	52239	15.70
12	2390	134129	17.82
13	281	17966	15.64
14	366	22365	16.36
15	322	22315	14.43
16	793	53158	14.92
17	471	28723	16.40
18	1884	110997	16.97
19	2699	150712	17.91
20	375	25023	14.99
平均值	1085.3	64777.4	16.22

License

Grasssleeve/Graph-Coloring-Problem

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