An algorithm for efficient constrained mate selection

Table 2 Derivation of relative weightings (W) from raw weightings (R), the mating permission matrix and action types

Male Group	FG1	FG2	Female Group FG3	FG4	FG5
	Permission Matrix
MG1	1	1	1	0	0
MG2	0	1	1	1	0
MG3	0	1	1	1	1
MG4	0	0	1	1	1
	Action type
MG1	1	Opt	Opt	.	.
MG2	.	Opt	Opt	Opt	.
MG3	.	Opt	Opt	Opt	Opt
MG4	.	.	Calc	Calc	Calc
	Raw weights (R)
MG1	1	0	0.3	.	.
MG2	.	0.2	0.6	0.2	.
MG3	.	0.1	0.6	0.3	0.8
MG4	.	.	.	.	.
	Relative weights (W)
MG1	1	0	0.15	.	.
MG2	.	0.667	0.3	0.16	.
MG3	.	0.333	0.3	0.24	0.8
MG4	.	.	0.25	0.6	0.2

A'1' in the permission matrix denotes that matings can be made between the groups concerned; raw weights R are set by the optimization algorithm; relative weights W are used to help set the number of target matings per group combination; action types indicates whether the weights for that mating combination are set (1), optimized by the optimization algorithm (Opt) or calculated from weights for the other mating combinations (Calc).

ISSN: 1297-9686