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A Linear Programming Approach to the Development of Contrail Reduction Strategies Satisfying Operationally Feasible ConstraintsA class of strategies has been proposed to reduce contrail formation in the United States airspace. A 3D grid based on weather data and the cruising altitude level of aircraft is adjusted to avoid the persistent contrail potential area with the consideration to fuel-efficiency. In this paper, the authors introduce a contrail avoidance strategy on 3D grid by considering additional operationally feasible constraints from an air traffic controller's aspect. First, shifting too many aircraft to the same cruising level will make the miles-in-trail at this level smaller than the safety separation threshold. Furthermore, the high density of aircraft at one cruising level may exceed the workload for the traffic controller. Therefore, in our new model we restrict the number of total aircraft at each level. Second, the aircraft count variation for successive intervals cannot be too drastic since the workload to manage climbing/descending aircraft is much larger than managing cruising aircraft. The contrail reduction is formulated as an integer-programming problem and the problem is shown to have the property of total unimodularity. Solving the corresponding relaxed linear programming with the simplex method provides an optimal and integral solution to the problem. Simulation results are provided to illustrate the methodology.
Document ID
20120016837
Document Type
Conference Paper
Authors
Wei, Peng (Purdue Univ. IN, United States)
Sridhar, Banavar (NASA Ames Research Center Moffett Field, CA, United States)
Chen, Neil Yi-Nan (NASA Ames Research Center Moffett Field, CA, United States)
Sun, Dengfent (Purdue Univ. IN, United States)
Date Acquired
August 26, 2013
Publication Date
August 13, 2012
Subject Category
Air Transportation and Safety
Report/Patent Number
AIAA Paper 2012-4754
ARC-E-DAA-TN4671
Meeting Information
AIAA Guidance, Navigation, and Control Conference(Minneapolis, MN)
Funding Number(s)
WBS: WBS 411931.02.41.01.08
Distribution Limits
Public
Copyright
Public Use Permitted.

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