So having a read through I think:
Base stance is that dependant children get up to 50% of the pension you would have received, up to a total of 100%
So 1 child gets 50%, 2 children 50% each, 3 children 33% each.
But before that they uplift the pension value as follows:
They take the person's alpha pension that was earned in the alpha scheme. Then they multiply this by the lower of 10 years, the years left to normal pension age, or the amount of time left to the end of the person's fixed term contract.
So if the person was 60, and their normal pension age was 66, it would be multiplied by 6. If the person was 50, it would be multiplied by 10, and if the person had 12 months left on a fixed term contract it would be multiplied by 1.
Then they divided by the number of years a person has been in the scheme. So if someone had been in Alpha for 5 years and was 50, then it would be multiplied by 10 and divided by 5 - so multiplied by 2 overall.
Or if someone was 50 and had been in Alpha for 10 years it would end up multiplied by 1 overall.
That is then added to the pension the person has already accumulated. So e.g. if the annual pension was £5k and you had a 2x multiplier you'd have the £5k plus 2x5k = 5k + 10k = 15k.
So basically it uplifts the pension more if the person who has died is younger, and more if they haven't paid as much into Alpha (presumably because the pension value will on average be lower).
Does that help?