I am trying to write an algorithm modelling the 'Airplane landing problem'. The aim is to land a sequence of airplanes while minimizing the operating costs and respecting constraints such as the separation between consecutive airplanes. Hence, I need to be able to quantify these operating costs in particular fuel consumption.
Basically, in my simulation - it's a very simple approach - airplanes can be in 3 different regimes :
- the aircraft can be asked to fly faster than it's preferred speed, it's called time advance and it's one of the tools used to reduce congestion
- the aircraft can of course fly at it's preferred speed
- the aircraft can be asked to fly a holding pattern
I would like to elaborate a function that would give the fuel consumption in function of the time for every mode. I absolutely don't know where to start. The only information that I find deal with the preferred speed consumption. How can I model the two others regimes ?
Edit : Indeed, the part concerning holding patterns is similar to this other question. However, I don't think any information on time advance has been given so I would like to focus my question on this. Also, if anyone has more information on fuel consumption in holding patterns than would by very helpful. Thank you very much