Alter and resolve your model from Exercise 3.24 if you have two runways available. Exercise…

                Alter and resolve your model from Exercise
3.24 if you have two runways available.

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Exercise
3.24~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

(Based on Beasley [12]) A small
regional airport is expecting 10 planes to land on its lone runway used for
arriving planes. Each aircraft has indicated a target time, but has also
indicated an earliest possible arrival (if it flies at maximum speed) and
latest possible arrival time (if it flies at its most fuel-efficient speed and
circles above airport for maximum time). Ideally, each aircraft would arrive at
its target time, but this rarely occurs. Thus, in order to schedule the various
landings, the airport penalizes an aircraft if it arrives earlier or it arrives
later than its target time. The times (given in minutes after 9 AM) and
penalties for each plane are given in Table 3.1.

Because of possible air turbulence
concerns, there is a minimum amount of time between the landing of any two
aircraft, and these times are given in Table 3.2. These separation times are
required regardless of when they land; thus, the planes need not land
successively for these times to be enforced.

Formulate and solve an integer
program that determines the minimum cost landing schedule.

 

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