Question $2$ Capacity Estimation $($Hint: Lecture $5$ slide $17,41,45,46)$

The spreadsheet Assignment $2\_$Data.XLS$,$ which is on Blackboard assignment folder, includes a representative schedule for flights into LAX from $8$ AM to $9$AM$.$ Worksheet BASE SCHEDULE details the schedule. Worksheet PERFORMANCE gives the weight and approach speed of each aircraft in the schedule.

Estimate the IFR arrival capacity of a single runway at LAX under the following assumptions:

a$.$ There is a $10$nm final approach path; separations rules apply once both aircraft are on the flight path.

b$.$ The aircraft mix is based on flights scheduled to arrive between $8$am and $9$am$.$

c$.$ The order of arrival is random so that the probability of an aircraft of type i trailing an aircraft of type $j$ is: $P_{ij}=P_i*P_j.$

d$.$ A $30$ second buffer is added to the minimum IFR inter$-$arrival times to ensure that minima are not violated.

e$.$ To simply computation, you may assume all small aircrafts traveling speed to be $112kts,$ all large aircraft traveling speed to be $138$kts$,$ and all heavy aircrafts speed to be $140$kts$.$

Note: Use the IFR separations presented in the class notes. Note that the Large weight category includes aircraft whose MTOWs are greater than $41,000$ lbs and less than or equal to $255,000$ lbs$.$

$2.$ Repeat $1$ using observed VFR separations $($in NM$).$ In this case neglect buffers and assume that the separations are derived from observations when the lead aircraft crosses the runway threshold.