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Has anyone figured out the AA formula yet?

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  • Risa
    replied
    Oh that is BAD news. If number of AA units in one tile is also a factor in the formula, it would be near impossible to find out even a not-so-exact one!

    Having that in mind, I changed my test scenario by splitting one Flak stack to two, each with 10 Flaks. Here's result of one stack of Bombers bombing two small stacks of Flaks: 16,18,13,11,14,15,17,9,16,11, survival rate is 70%. No big difference.

    Perhaps I should try even smaller stack.

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  • Catt
    replied
    Cross-posted with Risa.

    Now that I see Risa's test results, I think I can confirm that the AA / (AA + 2*Defense) is not the working formula. My tests utilized 368 individual bombers bombing individual tiles, each occupied by a flak unit.

    Test 1: Standard bomber with "2" defense; flak modified to have AA value set as "1." Of 368 bombers, 349 survived and 19 were shot down. Shoot down rate was 5.163% though on limited trials.

    Test 2: Standard bomber with "2" defense; flak modified to have AA value of "4." 290 bombers survivie; 78 dead. Shoot down rate is 21.196% (closely linear with changed AA values).

    Test 3: Modified bomber with defense of "30." Modified flak with AA of "4." 364 bombers survive; 4 dead. Shoot down rate is 1.087%.

    I was so bored at the end of 3 interations that I never actually looked at the data and started exploring possible formulas. Just glancing at the very limited trials, I suppose it is conceivable that the rate is AA / (Def * 10) [EDIT: Ooops! Not even close to correlating to Risa's results, although the stack effect may be at work. End Edit].

    Catt

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  • Catt
    replied
    I started doing some testing but it is so monotonous as to be almost unbearable . It is monotonous because stacking AA units in one square seems to increase the interception chances -- which means to get a good jump on the formula you need a test scenario with only one AA unit per tile -- lots of clicking to build up sufficient trials.

    In my very preliminary exploration, it also seems that the attacking air unit's defense value plays a role. This surprised me a bit since I've never seen an air unit take damage but survive -- it is either intercepted and shot down, or not intercepted and not injured.

    Maybe I'll go back to it at some point, but I "stood down" several days back after enduring about an hour of boredom.

    Catt

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  • Risa
    replied
    I have run a small test as below:
    6 stacks of AA units (2 stacks of Moderm SAM, 4 stacks of Flak, each stack has 20 units) as target, 6 stacks of various bombers (20 per stack) bombard their target, then count casualty of each stacks of bombers. All units have 5 hp.

    Stack 1: Weak Stealth Bomber (0/2/1, bombard 12/0/3, stealth) vs. Modern SAM (AA 4);
    Stack 2: Bomber (0/2/1, bombard 12/0/3) vs. Modern SAM;
    Stack 3: Strong Bomber (0/4/1, bombard 12/0/3) vs Flak (AA 2);
    Stack 4: Weak Bomber (0/1/1, bombard 12/0/3) vs Flak;
    Stack 5: Bomber vs Flak;
    Stack 6: Fighter (4/2/1, bombard 3/0/1) vs Flak.

    I have run 10 times of the test, and the result (numbers of remaining bombers) is as follow:
    Stack 1: 8,13,8,8,8,7,13,7,10,12
    Stack 2: 10,10,9,12,13,12,9,13,8,7
    Stack 3: 16,15,16,16,16,15,18,15,18,16
    Stack 4: 6,10,10,10,12,10,9,9,5,13
    Stack 5: 12,18,16,16,8,13,13,13,17,10
    Stack 6: 12,11,8,12,9,14,12,16,14,14
    Survival rates of each stack are 47%, 51.5%, 80.5%, 47%, 68%, 61%.

    Assuming AA units only shoot down planes that bombard its tile, here are some observations:
    1) Stealth isn't a factor in AA formula.
    2) Possible formula is:
    shot down rate = AA value / (AA value + 2 * aircraft defense value)

    However, it may be more complicated than I thought. I tried Stack 7: Weak Bomber vs. Modern SAM, got following result: 5,3,5,4,3,4,3,4,3,5, survival rate is only 19.5%, differs too much from expected 33%.

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  • korn469
    started a topic Has anyone figured out the AA formula yet?

    Has anyone figured out the AA formula yet?

    I'm getting ready to mod air units soon and I was wondering if anyone had figured out what the exact AA formula was yet? It'd be a big help to me if somebody had.
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