Stanisław Bacior

Shape and size of parcels and transport costs as a mixed integer programming problem in optimization of land consolidation

Abstract This article presents a new approach to the problem of optimization of land arrangement. The new element is the use of binary variables in the calculation model using the principles of linear programming. For this reason the optimization model can be classified into the category of mixed integer programming problems (MIP). The proposed optimization model takes into account a number of very important factors in the process of land consolidation, including map of the land diversification or the actual shape of the transportation network. That also implies taking into account the real, not the straight-lined distances between different parts of the model. The solution of the model is an arrangement of plots minimizing the costs associated with the cultivation of these plots, depending on their shapes and distances from homesteads. The value of the land of individual farms before and after the consolidation is preserved. Optimization model has been saved and executed in the environment of the GLPK (GNU Linear Programming Kit) software package. The presented method has been used to carry out the optimization process on the test object of the area of 587 hectares. The outcome is a new layout of plots in a form which meets all the technical requirements required in the real project process.

Cycle paths design based on aerial laser scan data

Development of cycle routes in Poland is a frequently discussed topic. This type of infrastructure may be designed using a variety of methods. Manual planning of new cycle paths based on aerial laser scan data is relatively quick and also precise. The ALS technique can provide the required accuracy of design map in terms of elevation measurements. It is worth noting that only a few years ago studies indicated that elevation measurements were less accurate when using this particular technique [Hejmanowska, Warchoł 2010]. The designer has a detailed insight into the studied area. He may easily assess the terrain and choose the optimal location for the given object. Planning the route course and its elevation variability is simple when using a Digital Terrain Model. The first stage of the present study analyses the rules that apply to bicycle route design and the area covered by the study. The course of the new cycle path was planned in such a way as to connect the most important places in towns as well as places of tourist interest. The resultant route is 1.8 km long and runs along the main road. Development of DTM and its visualizations were performed mainly on the basis of two point clouds provided by the Geodetic and Cartographic Documentation Center. The initial works were performed in MicroStation PowerDraft V8i software. In the next stage, a 3D visualization of the model was generated with the use of Surfer 11 program. Based on that, a longitudinal profile of the route was created.