Optimization of geodetic quadrilateral using goal programming

摘要

The main purpose of survey engineering network optimization is to have an optimal network configuration and optimum-observing plan in the sense that they will satisfy present network quality at a minimum cost. Appropriate quality control measures should be defined and an optimal design should be looked for. The quality of a geodetic network is characterized by precision, reliability, and cost. Optimization of survey network also helps to avoid unnecessary field observations which in turn saves time and effort in the field. Other important achievements are identifying and eliminating gross errors in observations as well as the effects of undetectable errors, if any, in the observation. The purpose of this paper is to formulate a linear goal programming model compatible to software to get the improved optimal positioning network shown with a case study. Though the case study can be of interest into the geodetic community in their own rights, the author aims to gain insight into the general optimization problem of a geodetic network to find out the most probable values of variables against conventional Least Square method which is generally used for adjustment of this type of network.. This is also potentially of interest for educational purposes.