Scientific Reports

Table 1 Experiments with parameters σ₁, σ₂ and σ₃.

From: An efficient swarm evolution algorithm with probability learning for the black and white coloring problem

id	Parameters	b	C₅₁ \({ \boxtimes }\) C₅₀		K₇₅□K₇₀		fpsol2.i.1.col		inithx.i.1.col		inithx.i.2.col
id	Parameters	b	Best	Avg	Best	Avg	Best	Avg	Best	Avg	Best	Avg
1	σ₁ = 0.1, σ2 = 0.1, σ3 = 0.1	20	*2508*	2506	*4620*	4544	*476*	421	*844*	808	*625*	598
2	σ₁ = 0.1, σ2 = 0.1, σ3 = 0.2	20	*2508*	2504	*4620*	4569	*476*	422	*844*	801	*625*	605
3	σ1 = 0.1, σ2 = 0.1, σ₃ = 0.3	20	*2508*	2506	*4620*	4569	*476*	432	*844*	807	*625*	606
4	σ1 = 0.1, σ2 = 0.2, σ₃ = 0.1	20	*2508*	2506	*4620*	4570	*476*	412	*844*	813	*625*	602
5	σ1 = 0.1, σ2 = 0.2, σ3 = 0.2	20	*2508*	2506	4615	4570	*476*	434	804	795	*625*	600
6	σ1 = 0.1, σ2 = 0.2, σ3 = 0.3	20	*2508*	*2508*	4615	4562	*476*	416	*844*	801	*625*	600
7	σ1 = 0.1, σ2 = 0.3, σ3 = 0.1	20	*2508*	2505	*4620*	4557	*434*	411	*844*	810	606	595
8	σ1 = 0.1, σ2 = 0.3, σ3 = 0.2	20	*2508*	2505	*4620*	4571	*476*	409	*844*	807	*625*	599
9	σ1 = 0.1, σ2 = 0.3, σ3 = 0.3	20	*2508*	2505	*4620*	4570	*476*	411	*844*	807	*625*	601
10	σ1 = 0.2, σ2 = 0.1, σ3 = 0.1	20	*2508*	2504	4615	4555	*476*	414	799	793	*625*	605
11	σ1 = 0.2, σ2 = 0.1, σ3 = 0.2	20	*2508*	2506	*4620*	*4597*	*476*	426	*844*	813	*625*	602
12	σ1 = 0.2, σ2 = 0.1, σ3 = 0.3	20	*2508*	2506	4615	4536	*476*	439	*844*	800	*625*	*610*
13	σ1 = 0.2, σ2 = 0.2, σ3 = 0.1	20	*2508*	2506	4550	4542	*476*	417	815	800	*625*	599
14	σ1 = 0.2, σ2 = 0.2, σ3 = 0.2	20	*2508*	2507	*4620*	4556	*476*	416	801	797	*625*	600
15	σ1 = 0.2, σ2 = 0.2, σ3 = 0.3	20	*2508*	2503	4554	4543	*476*	*440*	*844*	808	*625*	599
16	σ1 = 0.2, σ2 = 0.3, σ3 = 0.1	20	*2508*	*2508*	*4620*	4563	*476*	415	*844*	*822*	*625*	603
17	σ1 = 0.2, σ2 = 0.3, σ3 = 0.2	20	*2508*	2507	*4620*	4556	*476*	411	814	799	603	596
18	σ1 = 0.2, σ2 = 0.3, σ3 = 0.3	20	*2508*	2505	*4620*	4569	*476*	427	814	800	*625*	606

id	Parameters	b	le450_5b.col		le450_15c.col		le450_25a.col		school1.col		zeroin.i.3.col
id	Parameters	b	Best	Avg	Best	Avg	Best	Avg	Best	Avg	Best	Avg
1	σ1 = 0.1, σ2 = 0.1, σ3 = 0.1	20	281	277	*152*	149	*384*	*384*	*354*	294	*186*	*186*
2	σ1 = 0.1, σ2 = 0.1, σ3 = 0.2	20	*284*	277	*152*	149	*384*	*384*	*354*	303	*186*	*186*
3	σ1 = 0.1, σ2 = 0.1, σ3 = 0.3	20	*284*	278	*152*	150	*384*	*384*	*354*	293	*186*	183
4	σ1 = 0.1, σ2 = 0.2, σ3 = 0.1	20	281	274	*152*	*151*	*384*	383	*354*	*322*	*186*	180
5	σ1 = 0.1, σ2 = 0.2, σ3 = 0.2	20	*284*	279	*152*	150	*384*	*384*	*354*	302	*186*	182
6	σ1 = 0.1, σ2 = 0.2, σ3 = 0.3	20	281	275	*152*	150	*384*	*384*	*354*	284	*186*	*186*
7	σ1 = 0.1, σ2 = 0.3, σ3 = 0.1	20	281	277	*152*	149	*384*	*384*	*354*	303	*186*	*186*
8	σ1 = 0.1, σ2 = 0.3, σ3 = 0.2	20	*284*	278	*152*	*151*	*384*	*384*	*354*	283	*186*	*186*
9	σ1 = 0.1, σ2 = 0.3, σ3 = 0.3	20	*284*	275	*152*	150	*384*	*384*	*354*	303	*186*	183
10	σ1 = 0.2, σ2 = 0.1, σ3 = 0.1	20	*284*	278	*152*	149	*384*	*384*	*354*	264	*186*	*186*
11	σ1 = 0.2, σ2 = 0.1, σ3 = 0.2	20	*284*	275	*152*	150	*384*	*384*	*354*	304	*186*	*186*
12	σ1 = 0.2, σ2 = 0.1, σ3 = 0.3	20	*284*	276	*152*	148	*384*	*384*	*354*	284	*186*	*186*
13	σ1 = 0.2, σ2 = 0.2, σ3 = 0.1	20	281	274	*152*	150	*384*	*384*	*354*	274	*186*	*186*
14	σ1 = 0.2, σ2 = 0.2, σ3 = 0.2	20	281	275	*152*	150	*384*	*384*	*354*	264	*186*	*186*
15	σ1 = 0.2, σ2 = 0.2, σ3 = 0.3	20	281	277	*152*	150	*384*	*384*	*354*	284	*186*	*186*
16	σ1 = 0.2, σ2 = 0.3, σ3 = 0.1	20	*284*	*280*	*152*	150	*384*	*384*	*354*	304	*186*	*186*
17	σ1 = 0.2, σ2 = 0.3, σ3 = 0.2	20	281	276	*152*	*151*	*384*	*384*	*354*	303	*186*	183
18	σ1 = 0.2, σ2 = 0.3, σ3 = 0.3	20	*284*	277	*152*	149	*384*	*384*	*354*	314	*186*	183

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