It's a fairly obvious conclusion (at least to me) that Doomsday would be soundly defeated by either opponent in a standard Rumble. I am however still curious about how closely he matches up in certain areas. Let's look at HP and Nu/Rebirth DD to determine the following.
1: How closely does Doomsday stack up to both opponents in terms of purely physical stats? Strength and durability.
2: Which of the 3 has the best resistances for overcoming detrimental effects? Esoterics, physical damage and so on. DD evolves like crazy but Thanos especially has some serious resilience to adverse conditions of any sort.
3: Doomsday gets a Green Lantern ring (he has some precedence for his effectiveness with one) and has 1v1's with these two. How much closer are the fights if at all?