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Determination of the Optimal Height using the Simplex Algorithm in Network-RTK Surveying
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 Title & Authors
Determination of the Optimal Height using the Simplex Algorithm in Network-RTK Surveying
Lee, Suk Bae; Auh, Su Chang;
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 Abstract
GNSS/Geoid positioning technology allows orthometric height determination using both the geoidal height calculated from geoid model and the ellipsoidal height achieved by GNSS survey. In this study, Network-RTK surveying was performed through the Benchmarks in the study area to analyze the possibility of height positioning of the Network-RTK. And the orthometric heights were calculated by applying the Korean national geoid model KNGeoid13 according to the condition of with site calibration and without site calibration and the results were compared. Simplex algorithm was adopted for liner programming in this study and the heights of all Benchmarks were calculated in both case of applying site calibration and does not applying site calibration. The results were compared to Benchmark official height of the National Geographic Information Institute. The results showed that the average value of the height difference was 0.060m, and the standard deviation was 0.072m in Network-RTK without site calibration and the average value of the height difference was 0.040m, and the standard deviation was 0.047m in Network-RTK with the application of the site calibration. With linearization method to obtain the optimal solution for observations it showed that the height determination within 0.033m was available in GNSS Network-RTK positioning.
 Keywords
Linear Programming;Simplex Algorithm;Network-RTK;Optimal Height;
 Language
Korean
 Cited by
 References
1.
Choi, B. and Lim S., 2004, Study on the improvement of the positioning accuracy for inverted RTK using FARA, Journal of Korean Society of Surveying, Geodesy, Photogrammetry and Cartography, Vol. 22, No. 3, pp. 217-223.

2.
Cho, N., Kim, J. and Kim, S., 2006, An Interactive Multi-criteria Group Decision Making with the Minimum Distance Measure, Journal of the Korean Institute of Industrial Engineers, Vol. 32 No. 1, pp. 42-50.

3.
Dantzig, G. B. 1955, Linear programming under uncertainty, Management Science. Vol. 1, No. 3, pp. 197-206. crossref(new window)

4.
Hong, S., Lee, W. and Oh, Y., 2009, Direction for the Practical Use of RTK-GPS in Cadastral Detail Surveying, Journal of the Korean Society for Geospatial Information System Vol.17 No. 1 2009 pp. 89-95.

5.
Jang, S., Kim, J. and Jeong, G., 2009. Accuracy Evaluation of Boundary corner point using VRS GPSS, Journal of the Korean Society for Geospatial Information System, Vol. 17, No. 1, pp. 37-42.

6.
Kim, H., Yu, G., Park, K. and Ha, J., 2008, Accuracy evaluation of VRS RTK surveys inside the GPS CORS network operated by national geographic information institute, Korean Journal of Geomatics, Vol. 26, No. 2, pp. 139-147.

7.
Lee, G. W., Kim, J. J., 2015, Management Science with Excel, HanKungSa, pp. 58-84.

8.
Lee, H., Park J. and Lim, S., 2005, Error assessment of altitude determination using wireless internet-based DGPS, Journal of Korean Society of Surveying, Geodesy, Photogrammetry and Cartography, Vol. 23, No. 2, pp. 101-108.

9.
Lee J., Kim, Y. and Lee, I., 2012, An accuracy evaluation of algorithm for shoreline change by using RTK-GPS, Journal of the Korean Society of Civil Engineers, Vol. 32, No. 1D, pp. 81-88.

10.
Lee, S. and Choi, B., 2007, Hydrographic surveying in river by RTK-GPS, Korean Journal of Geomatics, Vol. 25, No. 3, pp. 267-275.

11.
Lee, S. B., 2013, Accuracy Evaluation of the Height Determined by Network-RTK VRS Positioning, Journal of the Korean Society for Geospatial Information System, Vol.21 No. 4 pp. 55-63.

12.
Lee, S. B. and Auh, S. C. 2015, Applicability analysis of the orthometric height by Network-RTK, Journal of the Korean Society for Geospatial Information System, pp. 62-63.

13.
National Geographic Information Institute, 2003, Study on the virtual reference point (VRS) introduced, http://gnss.ngii.go.kr/vrs/VrsUserView.do

14.
National Geographic Information Institute, 2005, Notice, installed a virtual reference point (VRS) system in Korea, http://gnss.ngii.go.kr/info/notice/

15.
National Geographic Information Institute, 2013, VRS system upgrade notification, http://gnss.ngii.go.kr/

16.
Trimble, 2013, Trimble GPS Site Calibration, http://trl.trimble.com/docushare/dsweb/Get/Document-140079