If you haven't  done this already, you could have a look on the yield management softwares used in air seats revervation and marketing. It is used by French railways operator.  Some yield management sofware are used in some hôtels marketing The principle unerlying yield manangement is to maximize revenue, given the hypothesis that the costs are constant.

You can have comprehensive, but rather old, desciption in Smith and al. 92 (key word American Airlines). Maybe this can give you some ideas.

Cheers,

D.

Thank you Dominique Bouf,

There are some decision policies in airlines revenue management as mentioned Y.-F. Hung and C.-H. Chen (2013). They mentioned some approaches likes the right booking policy (RBP), and the left booking policy (LBP) by Haerian et al. (2006), the discrete-time dynamic programming model (DP) by Lee and Hersh (1993), the omnibus model (OM) by Lautenbacher and Stidham (1999), and DSR and ERG proposed in this study by them. 

In your opinion related my case, what you prefer?

I think you ave to  design your own Policy, given the fact that :

booking couldn(t be made a lot in advance (you could try to find some data about this)

converely, even very expensive, bookings should be allowed at short notice.

I think, the problem of parking is closer to the question of hotel, than the problem of ailines which is almost untractable.

I am not sufficiently close to the subject to express any prefererence.

If you find your own way to maximize (or should I say to optimize) the revenue, you will have made great progress

"good luck !"

Thank you very much for sharing,

Good luck