Date of Award

3-23-2018

Document Type

Thesis

Degree Name

Master of Science

Department

Department of Mathematics and Statistics

First Advisor

Andrew J. Geyer, PhD.

Second Advisor

Raymond R. Hill, PhD.

Abstract

This paper introduces a new approach to identify the shortest path across a stochastic network with correlated random arcs utilizing nonparametric samples of arc lengths. This approach is applied to find optimal aircraft routes that minimize expected fuel consumption for a given airspeed utilizing predicted wind output from NWP ensemble models. Results from this new methodology are then compared to the current fuel minimization route planning method that utilizes deterministic NWP wind data for arc lengths. Comparisons are also made to other previously proposed alternative fuel minimization methodologies that utilize mean and median wind data calculated from NWP ensemble wind data.

AFIT Designator

AFIT-ENC-MS-18-M-109

DTIC Accession Number

AD1056299

Included in

Mathematics Commons

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