Overwatch – How Long Can Bastion Tank Bob in Sentry While Self-Healing?

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Assumptions:

Bob and Bastion both start at full health
Bob only fires at Bastion from the start up to the time he disappears
Nobody else fires at Bob or Bastion
Bastion starts with a full healing meter
Bastion is already in Sentry mode when Bob engages
Bastion only self-heals; does not fire at Bob
Bastion starts self-healing the moment he takes enough damage to use a full tick of healing
Bastion can tap-heal if that makes a difference in extending his time to live

Will Bastion die before Bob disappears? If yes, how long will it take for Bastion to die?

Numbers:

B.O.B. fires a total of 78 bullets that each deal 14 damage every 8 seconds.
- Damage per second: 112 (88 against armour)
- Total damage: 1092
Bastion has 300 health (100 of which is armour) and takes 20% less damage while in Sentry or Tank configurations.
- Armour reduces damage by half with a max reduction of 3; other damage modifications happen first.
Bastion's Self-Repair heals 15 health per tick (prorated over how long you held the button for the last tick, the ticking appears to be on a global timer rather than when you begin the ability) at 5 ticks per second for a maximum of 4 seconds.
- Total healing: 300
- For simplicity we'll assume each tick gets 15 healing (none of that proration madness).
When Bastion's healing is fully depleted, the healing recharges to full after 7 seconds, and it must be 20% full to use at all.
- This equates to needing 1.4 seconds of recharge to get 4 ticks for 60 healing, for 42+6/7 healing per second.

Result:

With both the armour and transofmration resistances applied, Bastion will take 70.4 damage per second and thus out-heal B.O.B. for 4 seconds.
Once Bastion's healing runs out, he'll run out of armour at about 5.5s (from when B.O.B. started firing) and start taking 89.6 damage per second.
Slightly earlier than that, Bastion will get some healing back, so he'll outheal B.O.B. for a bit before dropping back down again.
The math after this point gets real messy. But if I've done it right:
- Bastion will get his second short healing burst at about 7.6s, when he has 103.6 HP. His next heal burst after that would be 9.8s.
- Bastion runs out of HP at 9.375s.
- B.O.B. lasts for 10 seconds after he starts firing.

Conclusion 1: B.O.B. will get Bastion eventually 1v1, but it will take almost all his time.

Conclusion 2: If it is 1v1, Bastion should just shoot B.O.B., he'll will shred him in 2+2/3 seconds while surviving for 4.5s if he doesn't heal.