A commuter airline overbooks all of its flights by one passenger
(i.e., the ticket agent will take seven reservations for an
airplane that has only six seats). The no- show experience for the
past 20 days is shown below: No-shows 0 1 2 3 4 Frequency 6 5 4 3 2
If the net revenue from a passenger is $40 and the overbooking
charges per passenger is $60, is their overbooking policy optimal?
Hint: Note that frequency of No-shows is given. First convert this
to a probability table by dividing each of the numbers by 20. Next,
calculate cumulative probability for each no-show possibility by
successively adding the probabilities up to that row. ) Then use
the critical ratio approach. Do not use the formula (F-D)/F here.
There are no “discount” prices. The critical fractile in this case
will be (net revenue per ticket)/(net revenue per ticket +
Overbooking charges). You can also use Excel and be precise on the
optimal decision.