OPTIMIZATION TASK OF NAVIGATIONAL AIDS GROUND NETWORK
DOI:
https://doi.org/10.18372/2306-1472.76.13150Keywords:
aircraft, navigation, BILP, DME, ground station, navigational aids, RNAVAbstract
Purpose: The represented research results are aimed to formulate an optimization task of ground based navigational aids network in order to improve performance of provided navigational service. Proposed approach is based on iterative process with estimation performance of positioning in each point of airspace and further selection of the most optimal location for new ground facilities. Methods: Represented approach is grounded on analytical and statistical methods of positioning estimation performance, binary integer linear programing theory, and computer-based simulation at verification stage of development. Results: Ground navigational aids network has been represented as a set of geometrical location of standard service volumes in tree-dimensional space. The possible locations for new ground stations were considered together with an existing navigational aids network. The optimal location of new ground stations of navigational aids are result of objective function maximization with specific constraints. Weighted coefficients of linear objective function indicate a volume of predefined performance level of positioning by navigational aids. Results of optimization task solution in terms of linear programming will provide the most optimal location for new ground station within a pool of possible coordinates. Discussion: Formulation of optimization task in terms of binary integer linear programing represents the problem of optimal location search for new navigational aids in one linear objective function and constraints that can be solved by various math methods. Represented results can be implemented during airspace design and in the development of navigational aids network.
References
Ostroumov I. V. (2017) Availability estimation of navigation aids. Visn. NTUU KPI, Ser. Radioteh. radioaparatobuduv., no. 69, 35 – 40p. (in Ukrainian) Available by: http://radap.kpi.ua/ radiotechnique/article/view/1398
Ostroumov I. V. (2018) Error of positioning by DME/DME and VOR/DME pairs. Systems of control, navigation and communication. 2018. №1(47). 12 – 16p. DOI: 10.26906/SUNZ.2018. 1.012.
Kim E. (2012) Investigation of APNT optimized DME/DME network using current state-of-the-art DMEs: Ground station network, accuracy, and capacity. Position Location and Navigation Symposium (PLANS), IEEE/ION, 146 – 157 p.
UkSATSE's navigation infrastructure development roadmap for 2015 to provide navigation based on Performance, 2017, 162 p. (in Ukrainian language)
ICAO, Doc 9613. (2008) Performance-Based Navigation (PBN) Manual. The Internaltional Civil Aviation Organization, Third edition, Montreal, Canada, 264 p.
Lo S. C., Enge P. (2012) Assessing the capability of distance measuring equipment (DME) to support future air traffic capacity. Navigation, № 59(4), 249 – 261 p.
Lo S., Chen Y. H., Enge P., Peterson B., Erikson R., Lilley R. (2013) Distance measuring equipment accuracy performance today and for future alternative position navigation and timing (APNT). Proceedings of the 26th International Technical Meeting of The Satellite Division of the Institute of Navigation (ION GNSS 2013). Nashville, TN, 2013, 711 – 721 p.
Kim E. (2012) Investigation of APNT optimized DME/DME network using current state-of-the-art DMEs: Ground station network, accuracy, and capacity. Position Location and Navigation Symposium (PLANS). IEEE/ION, 146 – 157 p.
Ostroumov I. V., Kuzmenko N. S. (2018) Compatibility analysis of multi signal processing in APNT with current navigation infrastructure. Telecommunications and Radio Engineering. Begell, New York, 2018. № 77(3), 211 – 223 p. DOI: 10.1615/TelecomRadEng.v77.i3.30
Ostroumov I. V. (2016) Analysis of DME/DME positioning facility for Ukrainian airspace. Aviation in the XXI-st century – Safety in Aviation and Space Technologies: The Seventh World Congress. Kyiv: NAU, 2016, Vol. 2, 3.6.1–3.6.4 p.
AC 00-31A U.S. National Aviation Standard for the Very High Frequency Omnidirectional Radio Range (VOR) / Distance Measuring Equipment (DME) / Tactical Air Navigation (TACAN) Systems. FAA, 1982, 67 p.
Verma N., Haque M. R. (2013) DME-DME Network and Future Air Traffic Capacity. Journal of Modern Science and Technology, 2013, № 1, 45 – 51 p.
Aeronautical Information Publication (AIP) of Ukraine. Ukrainian State Air Traffic Services Enterprise, 2017.
