Would that not be a pretty heavy technical equation, primarily of interest to a few airline managers, but few others.
I can give you this one for air v rail market share, but it doesn't take yield management into account (also see thread in JB on this:
According to Peter Jorritsma, the rail market share s, as compared to planes, can be computed approximately as a function of the travelling time in minutes t by the formula[37]
s = {1 \over 0.031 \times 1.016^t + 1}
I'd love to see a formula for yield management, I guess based on:
Price p =
£ (base cost + PSC + APD or local eqv) +
a/b X maxmimum fare,
Where a = tickets sold so far and b = tickets available x days remaining.
Even this would need to factor in sales from the previous year, then day of week, known events and other variables.
I hope you find something - if general books don't come to mind, there are books / bios on various airlines and their bosses. In addition to the obvious UK / European ones, Neelemen (Jet Blue) and Herb Kelleher (Southwest) are two fascinating characters, as of course were the post-war pioneers before them. Would possibly add Bethune from Continental in recent times?