Multicriteria Decision Making in Geodetic Network Design
Publication: Journal of Surveying Engineering
Volume 146, Issue 1
Abstract
The article presents an original approach to the design of geodetic networks, taking into account quality criteria. This approach is based on the geodetic network design using the methods of multicriteria decision making (MCDM). Based on the design criteria of geodetic networks (accuracy, reliability, and costs), which are known from the literature, a modified, original set of design criteria was adopted. The presented proposals are illustrated with an example of a trilateration network that confirmed the usefulness of the proposed methodology in the design of geodetic networks. Comparative studies of considered network variants were made using four MCDM methods. These were three known methods of multicriteria analysis and one method developed by the author. Sensitivity analysis also allowed indicating methods that give the highest stability of rankings that are the basis for choosing the optimal network.
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Data Availability Statement
All data, models, or code generated or used during the study are available from the corresponding author by request.
Acknowledgments
The research was carried out as part of the work S/WBiIŚ/4/16 financed from the funds of the Ministry of Science and Higher Education.
References
Baarda, W. 1968. A testing procedure for use in geodetic networks: Publications on geodesy, new series. Delft, Netherlands: Netherlands Geodetic Commission.
Baarda, W. 1973. S-transformation and criterion matrices: Publications on geodesy, new series. Delft, Netherlands: Netherlands Geodetic Commission.
Bagherbandi, M., M. Eshagh, and L. E. Sjöberg. 2009. “Multi-objective versus single-objective models in geodetic network optimization.” Nord. J. Surv. Real Estate Res. 6 (1): 7–20.
Behzadian, M., R. B. Kazemzadeh, A. Albadvi, and M. Aghdasi. 2010. “PROMETHEE: A comprehensive literature review on methodologies and applications.” Eur. J. Oper. Res. 200 (1): 198–215. https://doi.org/10.1016/j.ejor.2009.01.021.
Behzadian, M., O. S. Khanmohammadi, M. Yazdani, and J. Ignatius. 2012. “A state of the art survey of TOPSIS applications.” Expert Syst. Appl. 39 (17): 13051–13069. https://doi.org/10.1016/j.eswa.2012.05.056.
Brans, J. P., and B. Mareschal. 2005. “PROMETHEE methods.” In Vol. 78 of Multiple criteria decision analysis: State of the art surveys, edited by J. Figueira, S. Greco, and M. Ehrgot, 163–186. New York: Springer.
Brans, J. P., B. Mareschal, and P. Vincke. 1984. “PROMETHEE: A new family of outranking methods in multicriteria analysis.” In Operational research ’84, edited by J. P. Brans, 477–490. Wuhan, China: Scientific Research Publishing.
Caspary, W. F. 1988. Concepts of network and deformation analysis. Monograph 11. Kensington, NSW, Australia: Univ. of New South Wales.
Cross, P. A. 1985. “Numerical methods in network design.” In Proc., Optimization and design of geodetic networks, edited by E. W. Grafarend and F. Sansò, 429–435. Berlin: Springer.
Cross, P. A., and B. M. Whiting. 1982. “On the design of vertical geodetic control networks by iterative methods.” In Proc., 6th Symp. on Geodetic Computations, 35–46. Munich, Germany: Deutsche Geodätische Kommision.
Even-Tzur, G. 1999. “Sensitivity design for monitoring deformation networks.” Bolletino Geodesia Sci. Affini 58 (4): 313–324.
Even-Tzur, G. 2006. “Datum definition and its influence on the reliability of geodetic networks.” Z. für Vermessungswesen 131 (2): 87–95.
Even-Tzur, G., and H. B. Papo. 1996. “Optimization of GPS networks by linear programming.” Surv. Rev. 33 (262): 537–545. https://doi.org/10.1179/sre.1996.33.262.537.
Gambin, W., Z. Parzyński, and W. Prószyński. 2008. “The concept of network robustness based on strain analogy as seen in the light of continuum mechanics.” In Proc., 13th FIG Symp. on Deformation Measurements. Copenhagen, Denmark: International Federation of Surveyors.
Grafarend, E. W. 1974. “Optimization of geodetic networks.” Bolletino Geodesia Sci. Affini 33 (4): 351–406. https://doi.org/10.1139/tcs-1974-0120.
Grafarend, E. W., and F. Sansò. 1985. Optimization and design of geodetic networks. 1st ed. Berlin: Springer.
Huber, P. J. 1981. Robust statistics. New York: Wiley.
Hwang, C. L., and K. Yoon. 1981. Multiple attribute decision making: Methods and applications: A State of the art survey. Berlin: Springer.
Kobryń, A. 2014. Wielokryterialne wspomaganie decyzji w gospodarowaniu przestrzenią. [In Polish.] Warszawa, Poland: Wydawnictwo Difin.
Kobryń, A., and J. Prystrom. 2018. “Processing technique of ratings for ranking of alternatives (PROTERRA).” Expert Syst. 35 (4): 1–14. https://doi.org/10.1111/exsy.12279.
Koch, K. R. 1982. “Optimization of the configuration of geodetic networks.” Dtsch. Geodaetische Kommission 258 (III): 82–89.
Koch, K. R. 1985. “First order design: Optimization of the configuration of a network by introducing small position changes.” In Proc., Optimization and Design of Geodetic Networks. Berlin: Springer.
Kuang, S. 1993. “Second-order design. Shooting for maximum reliability.” J. Surv. Eng. 119 (3): 102–110. https://doi.org/10.1061/(ASCE)0733-9453(1993)119:3(102).
Kuang, S. L. 1991. Optimization and design of deformation monitoring schemes. Fredericton, NB, Canada: Univ. of New Brunswick.
Kuang, S. L. 1996. Geodetic network analysis and optimal design: Concepts and application. Michigan, IL: Ann Arbor Press.
Prószyński, W., and M. Kwaśniak. 2002. Niezawodność sieci geodezyjnych. [In Polish.] Warszawa, Poland: Oficyna Wydawnicza Politechniki Warszawskiej.
Prószyński, W., and Z. Parzyński. 2009. “Network robustness measures based on responses to undetectable observation errors.” Rep. Geod. 87 (2): 343–352.
Saaty, T. L. 1980. The analytic hierarchy process: Planning, priority setting, resource allocation. New York: McGraw-Hill.
Schaffrin, B. 1985. “Aspects of network design.” In Optimization and design of geodetic networks, edited by E. W. Grafarend and F. Sansò, 548–597. Berlin: Springer.
Schmitt, G. 1980. “Second order design of free distance networks considering different types of criterion matrices.” Bull. Géodésique 54 (4): 531–543. https://doi.org/10.1007/BF02530711.
Schmitt, G. 1982. “Optimization of geodetic networks.” Rev. Geophys. 20 (4): 877–884. https://doi.org/10.1029/RG020i004p00877.
Schmitt, G. 1985. “Second order design.” In Optimization and design of geodetic networks, edited by E. W. Grafarend and F. Sansò, 74–121. Berlin: Springer.
Seemkooei, A. A. 2001a. “Comparison of reliability and geometrical strength criteria in geodetic networks.” J. Geod. 75 (4): 227–233. https://doi.org/10.1007/s001900100170.
Seemkooei, A. A. 2001b. “Strategy for designing geodetic network with high reliability and geometrical strength.” J. Surv. Eng. 127 (3): 104–117. https://doi.org/10.1061/(ASCE)0733-9453(2001)127:3(104).
Simkooei, A. A. 2004. “A new method for second order design of geodetic network: Aiming of high reliability.” Surv. Rev. 37 (293): 552–560. https://doi.org/10.1179/sre.2004.37.293.552.
Simkooei, A. A., J. Asgari, F. Zangeneh-Nejad, and S. Zaminpardaz. 2012. “Basic concepts of optimization and design of geodetic networks.” J. Surv. Eng. 138 (4): 172–183. https://doi.org/10.1061/(ASCE)SU.1943-5428.0000081.
Singh, V., R. Dwivedi, O. Dikshit, and A. K. Singh. 2016. “First-order design of GPS networks using particle swarm optimization.” J. Surv. Eng. 142 (3): 04016002. https://doi.org/10.1061/(ASCE)SU.1943-5428.0000176.
Sipahi, S., and M. Timor. 2010. “The analytic hierarchy process and analytic network process: An overview of applications.” Manage. Decis. 48 (5): 775–808. https://doi.org/10.1108/00251741011043920.
Song, Z., C. Zhao, H. Pu, and X. Li. 2016. “Configuration analysis of two-dimensional resection networks.” J. Surv. Eng. 142 (4): 04016018. https://doi.org/10.1061/(ASCE)SU.1943-5428.0000193.
Vaniček, P., M. R. Craymer, and E. J. Krakiwsky. 2001. “Robustness analysis of geodetic horizontal networks.” J. Geod. 75 (4): 199–209. https://doi.org/10.1007/s001900100162.
Xu, P. L. 1989. “The multi-objective optimal second order design of nets.” Bull. Gédésique 63 (3): 297–308.
Xu, P. L., and E. W. Grafarend. 1995. “A multi-objective second order optimal design of deforming networks.” Geophys. J. Int. 120 (3): 577–589. https://doi.org/10.1111/j.1365-246X.1995.tb01840.x.
Yetki, M., C. Inal, and C. O. Yigit. 2008. “Optimal design of deformation monitoring networks using PSO algorithm.” In Proc., 13th FIG Symp. on Deformation Measurement and Analysis. Copenhagen, Denmark: International Federation of Surveyors.
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Published In
Journal of Surveying Engineering
Volume 146 • Issue 1 • February 2020
Copyright
©2019 American Society of Civil Engineers.
History
Received: Feb 20, 2019
Accepted: Jul 25, 2019
Published online: Oct 25, 2019
Published in print: Feb 1, 2020
Discussion open until: Mar 25, 2020
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