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edit: Here.[i.imgur.com]
bph is barrels (of fuel) per hour. rph is regions per hour, i.e. how many times you can go horizontally from one of the orange lines on the map to another, per hour. It was the best measurement of distance I could think of.
Basically, it seems that as long as you use frigate, cruiser or dreadnought (ship with aft slot), 800p steeple engine with avid suppressor beats the hell out of any other travelling setup except maybe Fulgent Impeller with all the extra fuel efficiency you can get. Even then suppressor is probably competitive because even though overheated Impeller eats fuel faster than priests of Chapel of Light can imagine doing it to, erm, other things, you're saving some on supplies and time you need to burn your lamp (and at least you have an option to boost). And for _____ sake, suppressor doesn't kill your hearts and, even boosts veils.
It seems to me that other engines are only worth bothering with if you use a ship without an aft slot. Even then, it's typically only Serpentine or below.
Also consider that you typically don't get ganged at zee, and even then your guns can't target different targets at the same time, making aft guns all but useless...
There is something wrong with all this, IMO. But hey, I'm just happy that there is at least one reason to use anything but steeple-engine plus suppressor.
@Wlerin
Your results (especially regions per hour) are dependent on the routes you take. They are only reliable if you travel always exactly the same route.
Based on your data, one can calculate the effective fuel efficiency (Unit: Barrels per Power and Minute (bp(pm)) = bph * 60 / Power) showing that the more powerful engines are more efficient. The 800-Engine consume 0.058 bp(pm) while the 3500-engine consumes around 0.032 bp(pm)
PS: this makes only sense if you were always traveling "in the same gear".
What you are pointing out looks like measurment inaccuracy. Granted, trend still stands even if results are skewed in opposite direction.
http://pastebin.com/XTGmH3Pn
This describes the route I took (of course since the map is different from game to game it's not very useful). It was a direct N<>S straightshot, starting and ending by colliding with relatively straight east-west surfaces.
And my analysis, from which that screenshot was taken:
http://pastebin.com/XVLuRK1i
"Regions per hour", as Barrogh says, was an attempt to create a comparable measurement unit that other players would find meaningful. I did not actually travel a full region, but compared the length of the course travelled to the width of a region in map pixels (all regions have the same dimensions, though the N/S edges are not clearly marked).
Once I had established that there was no reason to test 1st gear separately, I was always in 2nd, and the numbers given in the final analysis are all for 2nd gear.
I do not see the purpose in calculating bp(pm). Even if the relation between speed and power is not known precisely, it is clearly not linear, so raw power is not a meaningful component in any attempt to find "effective" fuel efficiency. It would seem to me that the correct unit for efficiency here would be "regions per barrel", i.e. rph/bph, which is quite a bit simpler than whatever that mess is, and clearly demonstrates the inefficiency of larger engines:
3500 engine gives 0.516 regions per barrel on the Merchant Cruiser
800 engine gives 1.286 regions per barrel
It would be useful to take time into account as well due to Terror and Supplies, and perhaps that's what you were trying to do with bp(pm), but in effect all bp(pm) does is divide bph by power, and of course dividing by a much larger (but irrelevant) number will give a smaller result.
Indeed, I was trying to create a Unit to reflect the speed as well, because I am trying to find out which combination of ship and engine allows me to make a maximum amount of echoes in a minimum amount of time trading between ports (I was already aware of the bpr values of the engines).
A fuel efficient (weak) engine frees up more cargo space (for tradable items) at the cost of your ships speed. I believe that in the end the longer travel time dominates vs. the bigger cargo space for i.e. mushroom wine, especially if one refuels at the iron republic, mount palmerston etc. (not to mention the cost of reducing terror).
Maybe I was to nit picky or I overthinking the problem.
I just noticed an error in my calculations, so forget everything I said ;)