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CASE: Air Traffic Controller School (ATCS ATCS provides training for future air traffic controllers. One This gives you the maximum cost associated with an airplane of the skills air traffic controllers need is the ability to sequence c ircling in a holding pattern until the last possible moment. aircraft for landing purposes. The controller decides who lands (a) Develop a landing sequence that gives priority to those immediately and who goes into a holding pattern. The following aircraft with the highest cost of slack time (excess flying data are provided to you, the student, to develop an acceptable time multiplied by cost per minute of flying time). landing sequence. Any sequence that results in an aircraft not For example, Flight 616's 18.75 minutes of slack time being scheduled to land before it runs out of remaining flying (22 - 3.25) times $300 per minute means that if Flight time is unacceptable. The following aircraft are currently await- 616 does not land until its time is all used up, it incursan ing your decision as to their landing sequence. extra flying cost of $5,625. Make a Gantt chart showing the landing sequence and evaluate the sequence in Remaining Cost per terms of performance Calculate mean flow time, mean Flight Minutes on Flying Time Minute of lateness, and average number of planes in the system. Number Runway (minutes) Flying Time (5) (b) Develop a sequence using SPT as a priority rule. Make a 2.00 100 Gantt chart showing the landing sequence and evaluate the 118 3.00 150 sequence in terms of performance. Calculate mean flow time, 217 2.75 mean lateness, and average number of planes in the system. 8076 1.50 80 (c) Develop a third sequence using EDD (earliest due date) as a 3.50 200 priority rule. The plane with the least amount of flying time 1.75 150 remaining has the highest priority. Make a Gantt chart showing 024 2.50 400 the landing sequence and evaluate the sequence in terms of 616 3.25 300 performance. Calculate mean flow time, mean lateness, and average number of planes in the system. Calculate the total There are many ways to sequence this group of aircraft wait cost associated with this sequence (flow time multiplied by ing to land. Since cost is an obvious factor, consider a sequence cost per minute of flying time for each flight). that minimizes total cost to land the aircraft. Multiply the cost (d) Try to develop an alternative sequence that lands all of per minute of flying time by the remaining number of minutes. the aircraft safely and reduces the total cost. 101 125 219 894