I would like to add here that even if anonther frontline seems better using all the calculations you exposed, the game also have to assess 2 things :(16) A frontline is only as good as its weakest hex. Therefore we can use the hex CV measure to try out different placements of units to maximize the strength of the weakest hex.
(17) We can also examine different possible frontlines and perform the same assessment. This will let us decide whether to pull out of Belgium (1234 and 1233) if we lose 1232 and defend in France proper instead. The advantage is going to be that Lille is a city so the assault table has to be used. Both Lille and Calais are attackable from fewer hexes (3 to 2 and 2 to 1) than the hexes in Belgium. It should also let us measure the benefit of a shorter frontline since the average strength point per hex is likely to increase.
- Will his army be able to shift from the current frontline to the better one in good order ?
- Will keeping the less good, but currently occupied, frontline make you buy some time ? Sometime it may be better to hold a defensive line, even if it is not the best, just long enough and retreat when it is very threatened. I mean, it would be bad if the AIO didn't held some ground just to achive better defensive positions.
I'm not sure if you talked about this, but the AIO should also be able to foresee eventual outflankings, either because the flanks are not solidely anchored (Russia, China with the Europe scale), or because of possible invasions (northern Europe, Italy), and deal with these threat.