I published yet another installment of my work on the math behind EVE: [Dynamics of Homogeneous Fleets in Combat].(https://eveismath.blogspot.com/2018/03/homogeneous-fleet-combat.html)
This time I focused on the dynamics of fleets in combat. Now, I know this work does not focus on the effects of logistics, but it still applies to a great many battles in EVE. I will post my additional logistics work in the near future. Take a look and let me know your thoughts.
I’ve included my summary notes below for the TL;DR crowd:
- The number of ships in the fleet has squared benefit over ship quality, i.e. DPS×HP product. This makes intuitive sense considering that bringing one more ship means you have also brought more EHP and more DPS, both. That is, for homogeneous fleets in combat, the rates of target destruction are determined by the ratio of each fleet’s figures of merit, or FOM: FOM=N×√(DPS×EHP). Some notes on the FOM concept:
- In EVE, as in life, time is the only thing you can’t go get more of. When fighting opponents in same-size or smaller-size targets, therefore, prelocking secondaries can have a dramatic effect on combat effectiveness. This can be counterproductive if hostile logistics are able to use pre-locks to send reps early, but logistics are outside the scope of this post.
- It is usually impractical to calculate a fleet figure of merit during combat. Instead, by comparing the fractional rate of loss for your own fleet and your opponent’s fleet for any time period, you are comparing the effective fleet figures of merit. Methods along these lines are already widely used.
- With a model for fleet advantage, it is possible to quantify the risk aversion of fleet commanders by comparing their fleet FOM against hostile fleets FOM where they choose whether or not to engage.