O. Richetta et Ar. Odoni, DYNAMIC SOLUTION TO THE GROUND-HOLDING PROBLEM IN AIR-TRAFFIC-CONTROL, Transportation research. Part A, Policy and practice, 28(3), 1994, pp. 167-185
Existing probabilistic solutions to the ground-holding problem in air
traffic control are of a static nature, with ground-holds assigned to
aircraft at the beginning of daily operations. In this paper we presen
t an optimal dynamic solution that simplifies the structure of the con
trol mechanism by exercising ground-holding on groups of aircraft inst
ead of individual flights. Using stochastic linear programming with re
course, we have been able to solve problem instances for one of the la
rgest airports in the U.S. with just a powerful PC. We illustrate the
advantage of the probabilistic dynamic solution over: (a) the static s
olution; (b) a deterministic solution; and (c) the passive strategy of
no ground-holding.