Abstract

This paper models an air traffic optimization problem where, on the one hand, flight operators seek to minimize fuel consumption flying at optimal cruise levels and, on the other hand, air traffic managers aim to keep intersecting airways at as distant as possible flight levels. We study such a problem as a factorized optimization, which is addressed through a spectrum graph coloring model, evaluating the effect that safety constraints have on fuel consumption, and comparing different heuristic approaches for allocation.

Highlights

  • The increasing congestion of the airspace is widely accepted to be one of the outstanding problems in today’s society

  • We study the problem of behavior optimization in the context of flight level assignment

  • We propose an adaptation of hill-climber and simulated annealing techniques, including some versions which are more greedy than the ones we had used before, and we evaluate their relative performance in a setting representing the Spanish air space

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Summary

Introduction

The increasing congestion of the airspace is widely accepted to be one of the outstanding problems in today’s society. The assignment of flight levels (FLs) is carried out locally within each region, resulting in a suboptimal solution both for individual routes and for the overall network This is mainly due to the fact that ATM often requires level changes, which are costly in terms of fuel and emissions, as well as deviations from the optimal path from origin to destination, which are costly in terms of time and fuel. To optimize fuel consumption together with flight level assignment, we can resort to a number of optimization techniques that can be used for graph coloring.

Flight-Level Assignment as Spectrum Coloring Problem with Hard Constraints
Individual Utility Model
Social Utility
Factorized Optimization Model
Graph Coloring Model
Graphs Used
Algorithms Used
Experimental Results
Discussion
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