I had a look at your save. From my perspective, it seems you didn't have enough logistics points going down the southern road when compared to how much demand there is.
It seems the turn previous you managed to rack up a demand for 2.4k+ logistics points, which I'm guessing is as a result of you attacking with everything you have in the vicinity on the city of Picard. This means for this turn, there was not enough logistics points available (only 1765) to meet the requirements of all your troops, which resulted in a bottleneck. The reason I know this is because I clicked on the "Used Points" overlay (as shown below)(Initial points also shows this). The reason the bottleneck ends at that specific point is because that is where the supplies start coming off the logistics network and into your units, which means the rest of the road now has it's logistics points freed up to go back into the network. Current pts tab shows you how many points are available. Preview pts tab shows you next turn's demand, which will be 950 logistics points as long as you don't do any action this turn that would then require more logi points, such as another attack. The demand on the turn after that will likely be minimal because your units will be fully stocked on ammo and your Truck station III will be operational. (@mroyer, I'm fairly sure the problem is ammo demand centred that's flooded the logi network rather than food, but bottlenecks don't discriminate on what supplies get restricted hence low amount of food getting into the units).
Solutions:
- Upgrade truck station to get more logistics points (which I see was what you were already doing). Make sure you have enough fuel in stockpile or in income otherwise the amount of logistics points will fall.
- Divert traffic from areas that don't need as much logistics points to the south. Block useless roads or roads with limited demand (uncheck the pull points button on the blocking traffic screen if you want certain roads to
only take demand and nothing else on 100% blocked roads) so that as many logistics points as possible goes to the desired direction.
- Reduce demand by pulling away units or use less resource intensive units (or use more resource intensive units less frequently). I'm fairly certain that
your artillery regiment is the primary cause of these bottlenecks because of it's huge ammo consumption (I test fired it onto Picard and the demand for next turn went up to 4k

). Alternatively, research techs (such as gas powered weapons, or lower calibre guns) that use less ammo.
- Change SHQ maximum logistics limitations? (not really sure if it's a viable solution as I've never used it, but the option is there).
If it were up to me, I'd just keep going with the truck station upgrade and then scale back the arty back down to battalion size. You're well on your way to taking Picard anyway without needing that ammo sponge and it seemed like you were about to fix the logi problem anyway as mroyer demonstrated.
Hope what I've said is accurate and that it helps.