IEEE Transactions on Intelligent Transportation Systems · 2013 · 46 citations · 38 references
ManagementIndustrial EngineeringOperations ManagementAlgorithmsOptimizationSchedulingMulti-objective OptimizationMulti-objective SchedulingMultiobjective OptimizationSchedule OptimizationScheduling OptimizationScheduling TheoryAirline SchedulingMultiobjective Dynamic ProgrammingPareto Optimal SchedulingPareto Optimal SetPareto Optimal SolutionThroughput
At busy airports, air traffic controllers seek to find schedules for aircraft at the runway that aim to minimize delays of the aircraft while maximizing runway throughput. In reality, finding optimal schedules by a human controller is hard to accomplish since the number of feasible schedules available for the scheduling problem is quite large. In this paper, we pose this problem as a multiobjective optimization problem, with respect to total aircraft delay and runway throughput. Using principles of multiobjective dynamic programming, we develop an algorithm to find a set of Pareto-optimal solutions that completely specify the nondominated frontier. In addition to finding these solutions, this paper provides a proof of the algorithm's correctness and gives an analysis of its performance against a baseline algorithm using the operational data for a model of the Dallas/Fort Worth International Airport.
38
The Complexity of Flowshop and Jobshop Scheduling
M. R. Garey, David Johnson, Ravi Sethi · Mathematics of Operations Research · 1976 · 2.6K citations
On Finding the Maxima of a Set of Vectors
H. T. Kung, Fabrizio Luccio, F. P. Preparata · Journal of the ACM · 1975 · 913 citations · Full text
Scheduling Aircraft Landings—The Static Case
J. E. Beasley, Mohan Krishnamoorthy, Yazid M. Sharaiha et al. · Transportation Science · 2000 · 444 citations · Full text