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The effect of constraints on bi-objective optimisation of geodetic networks
KTH, Skolan för arkitektur och samhällsbyggnad (ABE), Samhällsplanering och miljö, Geodesi och satellitpositionering. University West, Division of Surveying Engineering.ORCID-id: 0000-0003-0067-8631
KTH, Skolan för arkitektur och samhällsbyggnad (ABE), Samhällsplanering och miljö, Geodesi och satellitpositionering.ORCID-id: 0000-0003-1602-4771
2015 (engelsk)Inngår i: Acta Geodaetica et Geophysica, ISSN 2213-5820, Vol. 50, nr 4, s. 449-459Artikkel i tidsskrift, Editorial material (Fagfellevurdert) Published
Abstract [en]

One of the problems in the single-objective optimisation models (SOOMs) foroptimising geodetic networks is the contradiction of the controlling constraints, which maylead to their violation or infeasibility in the optimisation process. One way to solve thisproblem is to use a bi-objective optimisation model (BOOM) instead of SOOMs. In thispaper, we will use the BOOM of precision and reliability and investigate the influence ofthe controlling constraints in a two-dimensional simulated network. Our studies show thatthe unconstrained BOOM is a good model, which almost fulfils our precision and reliabilitydemands of the network. This model is also economical as more observables are removedfrom the plan whilst adding the controlling constraints leads to including more observables,which have no significant role.

sted, utgiver, år, opplag, sider
Springer, 2015. Vol. 50, nr 4, s. 449-459
Emneord [en]
Removing observable, Optimality, First- and second-order designs, Two-dimensional geodetic network
HSV kategori
Forskningsprogram
Geodesi och geoinformatik
Identifikatorer
URN: urn:nbn:se:kth:diva-165396DOI: 10.1007/s40328-014-0085-1ISI: 000368600100007Scopus ID: 2-s2.0-84946075263OAI: oai:DiVA.org:kth-165396DiVA, id: diva2:808246
Forskningsfinansiär
Swedish Research Council Formas, 245-2012-356
Merknad

QC 20160216

Tilgjengelig fra: 2015-04-27 Laget: 2015-04-27 Sist oppdatert: 2017-12-11bibliografisk kontrollert
Inngår i avhandling
1. On Optimisation and Design of Geodetic Networks
Åpne denne publikasjonen i ny fane eller vindu >>On Optimisation and Design of Geodetic Networks
2015 (engelsk)Licentiatavhandling, med artikler (Annet vitenskapelig)
Abstract [en]

Optimisation of a geodetic network is performed to provide its pre-set quality requirements. Today, this procedure is almost run with the aid of developed analytical approaches, where the human intervention in the process cycle is limited to defining the criteria. The existing complication of optimisation problem was terminated by classifying it into several stages. By performing these steps, we aim to design a network with the best datum, configuration and the observation weights, which meets the precision, reliability and cost criteria.

In this thesis, which is a compilation of four papers in scientific journals, we investigate the optimisation problem by developing some new methods in simulated and real applications.

On the first attempt, the impact of different constraints in using a bi-objective optimisation model is investigated in a simulated network. It is particularly prevalent among surveyors to encounter inconsistencies between the controlling constraints, such as precision, reliability and cost. To overcome this issue in optimisation, one can develop bi-objective or multi-objective models, where more criteria are considered in the object function. We found out that despite restricting the bi-objective model with precision and reliability constraints in this study, there is no significant difference in results compared to the unconstrained model. Nevertheless, the constrained models have strict controls on the precision of net points and observation reliabilities.

The importance of optimisation techniques in optimal design of displacement monitoring networks leads to the development of a new idea, where all the observations of two epochs are considered in the optimisation procedure. Traditionally, an observation plan is designed for a displacement network and repeated for the second epoch. In the alternative method, by using the Gauss-Helmert method, the variances of all observations are estimated instead of their weights to perform the optimisation. This method delivers two observation plans for the two epochs and provides the same displacement precision as the former approach, while it totally removes more observations from the plan.

To optimise a displacement monitoring network by considering a sensitivity criterion as a main factor in defining the capacity of a network in detecting displacements, a real case study is chosen. A GPS displacement monitoring network is established in the Lilla Edet municipality in the southwest of Sweden to investigate possible landslides. We optimised the existing monitoring network by considering all quality criteria, i.e. precision, reliability and cost to enable the network for detecting 5 mm displacement at the net points. The different optimisation models are performed on the network by assuming single baseline observations in each measurement session. A decrease of 17% in the number of observed baselines is yielded by the multi-objective model. The observation plan with fewer baselines saves cost, time and effort on the project, while it provides the demanded quality requirements.

The Lilla Edet monitoring network is also used to investigate the idea, where we assume more precise instruments in the second of two sequential epochs. In this study, we use a single-objective model of precision, and constrained it to reliability. The precision criterion is defined such that it provides the sensitivity of the network in detecting displacements and has a better variance-covariance matrix than at the first epoch. As the observations are GPS baselines, we assumed longer observation time in the second epoch to obtain higher precision. The results show that improving the observation precision in the second epoch yields an observation plan with less number of baselines in that epoch. In other words, separate observation plans with different configurations are designed for the monitoring network, considering better observation precision for the latter epoch.

sted, utgiver, år, opplag, sider
Stockholm: KTH Royal Institute of Technology, 2015. s. x, 40
Serie
TRITA-SOM, ISSN 1654-2754 ; 2015:05
HSV kategori
Forskningsprogram
Geodesi och geoinformatik
Identifikatorer
urn:nbn:se:kth:diva-168314 (URN)978-91-7595-565-0 (ISBN)
Presentation
2015-06-12, 3085, Drottning Kristinas väg 30, Stockholm, 13:00 (engelsk)
Opponent
Veileder
Prosjekter
Formas
Merknad

QC 20150603

Tilgjengelig fra: 2015-06-03 Laget: 2015-06-01 Sist oppdatert: 2016-12-05bibliografisk kontrollert

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