Multicriteria airport gate assignment and Pareto simulated annealing

This paper addresses an airport gate assignment problem with multiple objectives. The objectives are to minimize the number of ungated flights and the total passenger walking distances or connection times as well as to maximize the total gate assignment preferences. The problem examined is an integer program with multiple objectives (one of them being quadratic) and quadratic constraints. Of course, such a problem is inherently difficult to solve. We tackle the problem by Pareto simulated annealing in order to get a representative approximation for the Pareto front. Results of computational experiments are presented. To the best of our knowledge, this is the first attempt to consider the airport gate assignment problem with multiple objectives.

[1]  Ulrich Dorndorf,et al.  Project Scheduling with Time Windows , 2002 .

[2]  Cecilia R. Aragon,et al.  Optimization by Simulated Annealing: An Experimental Evaluation; Part II, Graph Coloring and Number Partitioning , 1991, Oper. Res..

[3]  F. Rendl,et al.  A thermodynamically motivated simulation procedure for combinatorial optimization problems , 1984 .

[4]  Piotr Czyzżak,et al.  Pareto simulated annealing—a metaheuristic technique for multiple‐objective combinatorial optimization , 1998 .

[5]  I ScottKirkpatrick.  Optimization by Simulated Annealing: Quantitative Studies , 1984 .

[6]  Emile H. L. Aarts,et al.  Simulated Annealing: Theory and Applications , 1987, Mathematics and Its Applications.

[7]  Panos M. Pardalos,et al.  The Quadratic Assignment Problem: A Survey and Recent Developments , 1993, Quadratic Assignment and Related Problems.

[8]  Dušan Teodorović,et al.  Aircraft Stand Assignment to Minimize Walking , 1984 .

[9]  Scott Kirkpatrick,et al.  Optimization by simulated annealing: Quantitative studies , 1984 .

[10]  Paolo Serafini,et al.  Simulated Annealing for Multi Objective Optimization Problems , 1994 .

[11]  Andrzej Jaszkiewicz,et al.  Multiple objective metaheuristic algorithms for combinatorial optimization , 2001 .

[12]  A. M. Geoffrion.  Proper efficiency and the theory of vector maximization , 1968 .

[13]  Yi Zhu,et al.  New heuristics for over-constrained flight to gate assignments , 2004, J. Oper. Res. Soc..

[14]  Cecilia R. Aragon,et al.  Optimization by Simulated Annealing: An Experimental Evaluation; Part I, Graph Partitioning , 1989, Oper. Res..

[15]  Ulrich Dorndorf,et al.  Project Scheduling with Time Windows: From Theory to Applications , 2002 .

[16]  Yury Nikulin,et al.  Flight gate scheduling: State-of-the-art and recent developments , 2007 .

[17]  Matthias Ehrgott,et al.  Multicriteria Optimization , 2005 .

[18]  Andrzej Jaszkiewicz,et al.  Pareto Simulated Annealing , 1997 .

[19]  Takashi Obata,et al.  Quadratic assignment problem: evaluation of exact and heuristic algorithms , 1979 .

[20]  Shangyao Yan,et al.  Optimization of multiple objective gate assignments , 2001 .

[21]  Jean-Charles Billaut,et al.  Multicriteria scheduling , 2005, Eur. J. Oper. Res..

[22]  Panos M. Pardalos,et al.  Quadratic Assignment and Related Problems , 1994 .

[23]  Dennis F. X. Mathaisel,et al.  Optimizing Gate Assignments at Airport Terminals , 1985, Transp. Sci..

[24]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[25]  Richard A. Bihr,et al.  A conceptual solution to the aircraft gate assignment problem using 0,1 linear programming , 1990 .

[26]  V. Deineko,et al.  The Quadratic Assignment Problem: Theory and Algorithms , 1998 .

[27]  R. S. Laundy,et al.  Multiple Criteria Optimisation: Theory, Computation and Application , 1989 .

[28]  Ralph E. Steuer.  Multiple criteria optimization , 1986 .

[29]  T. Glenn Bailey,et al.  The airport gate assignment problem: mathematical model and a tabu search algorithm , 2001, Proceedings of the 34th Annual Hawaii International Conference on System Sciences.

[30]  Yi Zhu,et al.  The over-constrained airport gate assignment problem , 2005, Comput. Oper. Res..

[31]  Godelieve Vanderstraeten,et al.  Automatic assignment of aircraft to gates at a terminal , 1988 .