For most airlines, labor costs are their second largest operating expense - righ
ID: 454147 • Letter: F
Question
For most airlines, labor costs are their second largest operating expense - right below fuel costs. Labor costs are influenced by crew-pairing decisions, and better pairing decisions can provide substantial savings. A crew-pairing is an itinerary for a flight crew, consisting of a sequence of connectable flight legs, within the same fleet, that starts from and ends at the crew's home base. Typically, the pairing spans a single day, although in some cases may span as much as five days. Omega Airlines operates several flights per day between Atlanta and Los Angeles (see flight schedule below: Flight LI departs (LID) from Los Angeles at 05:00 AM and arrives (L1A) in Atlanta at 09:00)). Flight crews are based in each city, and each crew must return to their home base each evening (i.e., no RONs). Flight crews also require a minimum of one hour rest between flights. What is the minimum number of crews needed to operate these flights, and where should they be based? Please write out a mathematical model that solves this problem, then implement it in a spreadsheet, solve it, and summarize your findings in a brief report.Explanation / Answer
1) 4 minimum number of crews for los angels and 4 minimum number of Atlanta.
Calculation for 7 crews
7 flights operating from los angels and 7 flights operating from Atlanta. and 7 times flights get departure and arrived in both places.
a crew from los angels to Atlanta = 4 hours + 1 hours rest
Atlanta to los angels=2 hours
Totally 4 +1+2 =7 hours per crew.
4+4=8 crews needed .
__________________________________________________________________________________
LID crew 1 to Atlanta and return by A3A
L2d crew 2 to Atlanta and return by A4A
L5D crew 5 to Atlanta and return by A6A
extra 1 crew is needed
A1D crew 1 to los angels and return by L3A
A2D crew 2 to los angels and return by L4A
A5D Crew 1 to low angels and return by 47A
extra 1 crew is needed
4 from los angels and 4 from Atlanta.
___________________________________________________________________________________
Min=crew members
5x1+6x2+9x3+12x4+2x5+5x6+7x7<7 (los angels departure time)
6x1+8x2+10x3+12x4+4x5+6x6+7x7<7(Atlanta departure time)
x1+x2x3+x4+x5+x6+x7<0
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