Despair not!
After the Theory here is a practical example.
Brief history: Found two alien nprs within a month of each other about 20 years into game. Unfortunately I had put a sensor station in one of the home systems and they took exception to it. The other tried to claim jump a cost 0.23 colony with a ruined city. I took exception.
The first npr was only 3 jumps from Sol so they were dealt with first. This took some time (years), the 48 tank battalions of 75 heavy vehicles each evaporated in three weeks, lasting just long enough for me to get my first super heavy battalions in.
Fast forward 30 years. Still haven’t completely eliminated the first npr, but have finally found what I think is the home system of the claim jumpers. During this time a third npr had appeared, possibly activated by the claim jumpers. While I was preparing to invade the home world of the second npr, npr number three took exception to one of my surveillance stations and blew it away. Fortunately 17 29,000 ton cruisers have kept them contained for now.
The Invasion
I started the invasion of the npr number 2 homeworld. It had an initial visible ground force of 495,000 plus. However, in taking out the STOs by orbital bombardment the ground force dropped to 229,000 and continued to drop as I landed my forces.
I made my initial assault with three army corps of seven brigades each consisting of four battalions of super heavy and ultra heavy vehicles, about 945,000 tons in all. Each battalion of approximately 9,800 tons had 10 logistics vehicles and each higher level had another 50.
All the combat battalions were set to front line attack. In the first 10x8 hour increments I lost 4 first generation super heavy tanks, one third generation ultra heavy tank, 2 construction vehicles and 30 logistics vehicles.
In the next 5 increments 9 available logistic battalions were dropped, and I lost 3 more first generation super heavy tanks, one static artillery piece and 8 logistics vehicles. I also got my first breakthrough. I then dropped 7 brigades of heavy infantry. This gave a total force of just over 1.2 million tons. The infantry were set to front line defence. Each brigade had four battalions each of 850 heavy infantry, 200 heavy machine guns plus command, logistics and construction elements.
Over the next 17x8 hour increments I lost 294 heavy infantry, 387 heavy machine guns 27 logistics infantry, 5 heavy infantry battalion HQ units and 3 logistics vehicles. The infantry achieved their first breakthrough during this period. I managed my second supply drop, 42 Logistics battalions (each of 160 vehicles) and 36 infantry logistics battalions (each of 200 logistics infantry).
The next 40 turns saw a reduction in casualties. 213 heavy infantry, 165 heavy machine guns, 60 logistics infantry, 1 heavy infantry battalion HQ units and 18 logistics vehicles. This was effectively the end of serious resistance.
In increments 73 to 194 I lost 121 heavy infantry, 96 heavy machine guns and 15 logistics infantry. I managed a second logistics vehicle drop of 21 battalions on increment 118 and an identical third drop on increment 168. The heavy infantry were set to front line attack on increment 157. On increment 182 there were a very large number of breakthroughs which continued until the end.
On increment 195 the planet surrendered. It had taken 1,552 hours or just 642/3 days.
Overall the principal losses incurred per increment were as follows: I lost 0.53 super/ultra heavy vehicles and 2.5 logistics vehicles each increment during the first 120 hours.
After the infantry landed I lost 17.3 heavy infantry, 11.1 heavy MG and 1.6 logistics infantry per increment for the next 136 hours. Over the next 320 hours losses dropped to 6.2 heavy infantry, 4.4 heavy MG and 1.5 logistics infantry per increment.
Over the final 976 hours losses dropped again to 1 heavy infantry, 0.8 heavy MG and just 0.12 logistics infantry.
The invasion could be divided into four phases with losses dropping in every phase. The dropping of logistics supplies kept the pressure on, without a reduction in enemy casualties.
The big mistake I made was the infantry logistics battalions. I dropped 36 battalions, while the most I actually required was 7, none of which would have been totally consumed. Finally I only just had enough logistics vehicles dropping 93 battalions in all, that is 14,880 logistics vehicles fortunately they are relatively quick to produce. In addition ground unit production was an empire priority research target.