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Figure A.5 is a graphical representation of all eight identified as (sub)optimal solutions for the VB4-hi case, presenting dam locations and heights, BL, together with relevant info, ranking based on FV, the number of dams proposed and the increase in FV compared to the best solution (Sol2΄). Table 8 presents the produced solutions (Sols) by the seven MP value tests for each 1 of the 10 runs per MP value, together with the number of different solutions found and the number of times the optimal solution (Sol2΄) was found. There is no clear evidence of the impact of the MP value on the consistency of finding the optimal solution or the ability to identify many sub-optimal solutions, nor could a general rule be devised.

Table 8

The produced solutions by each one of the 7 MP values for each 1 of the 10 runs per MP value, together with the number of solutions identified per MP value and the number of times the optimal solution (Sol2΄; highlighted in bold) was found per MP value

Nr	MP	Sol found for each run (VB4-hi)										Nr of Sols^a	Nr of opt. Sol^b
Nr	Run =	1	2	3	4	5	6	7	8	9	10	Nr of Sols^a	Nr of opt. Sol^b
1	0.010	1′	2′	2′	2′	2′	2′	3′	2′	1′	2′	3	7
2	0.015	2′	2′	1′	2′	2′	2′	2′	2′	3′	1′	3	7
3	0.020	3′	3′	2′	2′	3′	2′	1′	2′	3′	2′	3	5
4	0.025	4′	1′	5′	2′	2′	6′	4′	6′	7′	5′	6	2
5	0.030	3′	2′	2′	2′	4′	2′	1′	8′	4′	2′	5	5
6	0.035	1′	2′	2′	2′	2′	2′	3′	2′	2′	2′	3	8
7	0.040	3′	1′	2′	2′	2′	1′	3′	2′	1′	3′	3	4

Nr	MP	Sol found for each run (VB4-hi)										Nr of Sols^a	Nr of opt. Sol^b
Nr	Run =	1	2	3	4	5	6	7	8	9	10	Nr of Sols^a	Nr of opt. Sol^b
1	0.010	1′	2′	2′	2′	2′	2′	3′	2′	1′	2′	3	7
2	0.015	2′	2′	1′	2′	2′	2′	2′	2′	3′	1′	3	7
3	0.020	3′	3′	2′	2′	3′	2′	1′	2′	3′	2′	3	5
4	0.025	4′	1′	5′	2′	2′	6′	4′	6′	7′	5′	6	2
5	0.030	3′	2′	2′	2′	4′	2′	1′	8′	4′	2′	5	5
6	0.035	1′	2′	2′	2′	2′	2′	3′	2′	2′	2′	3	8
7	0.040	3′	1′	2′	2′	2′	1′	3′	2′	1′	3′	3	4

^aNr of Sols = number of solutions identified.

^bNr opt. Sol = number of times the optimal solution (Sol2′) was found.

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